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BNM-2007, Special Oral Session for Young Scientists (PhDs and PhD Students), 17 August 2007 Oral report
Grain Boundary Precipitation Behavior of Nanostructured Maraging Steel Syamak Hossein Nedjada,1 and Mahmoud Nili Ahmadabadib,2
a Faculty of Materials Engineering, Sahand University of Technology,
P. O. Box: 51335-1996, Tabriz, Iran. b School of Metallurgy and Materials Engineering, University of Tehran,
P. O. Box: 14395-731, Tehran, Iran. 1 [email protected] , 2 [email protected]
An Fe-Ni-Mn maraging alloy was cold rolled for 85% at room temperature and isothermally
aged at 753 K. Transmission electron microscopy was used to study precipitation behavior at
grain boundaries during isothermal aging. It was indicated that severe cold rolling and aging
treatment transforms initial lath martensite microstructure to a partially nanostructured steel.
In the areas containing equiaxed nano-scale grains, coarsening of grain boundary precipitates
was found to proceed in a rather homogeneous dissolution of fine precipitates at grain
interiors. The augmented homogeneous dissolution of precipitates at nano-scaled grain
interiors is attributed to high density structural defects facilitating lattice diffusion of alloying
elements. Arrays of precipitates were found at elongated grain boundaries in the initial stages
of aging. However, matrix precipitates at elongated grains were identified larger than
precipitates at equiaxed nano-scale grains.
200
300
400
500
600
700
0.1 1 10 100 1000Time, ks
Har
dnes
s, H
V
0
Figure 1. Changes in hardness of the cold rolled steel during isothermal aging at 753 K
222
a b
c d
Figure 2. Transmission electron micrographs of a specimen aged for 0.36 ks; (a) and (b) show grain boundary precipitates (arrows) at nano-scale grain boundaries; (c) and (d) show arrays of aligned precipitates (arrow) at
elongated grain boundaries
a b
Figure 3. Transmission electron micrographs of a specimen aged for 86.4 ks; (a) bright field image showing coarse precipitates at grain “A”; (b) dark field image lightening precipitates. Matrix precipitates in the nano-
scale grains (A) are smaller than precipitates at elongated grain “B”
223
BNM-2007, Special Oral Session for Young Scientists (PhDs and PhD Students), 17 August 2007 Oral report
Microstructural Stability of UFG IF Steel Under Cyclic and Thermal Loading Thomas Niendorfa,1, Hans Jürgen Maiera,2 and Ibrahim Karamanb,3
a Lehrstuhl für Werkstoffkunde (Materials Science), University of Paderborn,
33095 Paderborn, Germany b Department of Mechanical Engineering, Texas A&M University, College Station, TX 77843, USA
1 [email protected], 2 [email protected], 3 [email protected]
In the present work we investigated the cyclic stress-strain behavior of body-centered cubic
(bcc) ultrafine-grained (UFG) interstitial free (IF) steel under cyclic and thermal loading. The
fatigue behavior of UFG bcc materials has been only investigated in a small number of
studies, while no study systematically reported on the behavior under additional thermal
loading, yet.
In previous studies of our group it has been shown that the damage mechanisms that lead to
the low fatigue lives of UFG Copper, dynamic recrystallization / grain growth do not appear
in the UFG IF steel, when the fatigue experiments are conducted at room temperature. The
microstructural stability led to an increased fatigue performance in comparison to the coarse
grained material [1].
In the present study the fatigue behavior of UFG IF steel from route 8E at temperatures
ranging from room temperature up to 440 °C is investigated. All tests were conducted under
strain control with constant strain amplitude of 0.28% and a strain rate of
6 x 10-3 s-1.
The results of the current work can be summarized as follows:
The fatigue life of the UFG IF steel decreases with increasing test temperature. This behavior
is caused by strain localization due to local grain coarsening. These findings are supported by
results from electronoptical measurements, such as electron backscattering diffraction
(EBSD).
The UFG IF steel shows even at the high test temperatures cyclic hardening. This behavior
seems to be caused by a mechanism that is similar to strain aging.
[1] T. Niendorf, D. Canadinc, H.J. Maier, I. Karaman, S.G. Sutter, Int. J. Mater. Res., 97
(2006) 1328
224
BNM-2007, Special Oral Session for Young Scientists (PhDs and PhD Students), 17 August 2007 Oral report
Accumulative Roll-Bonding (ARB), Mechanical Properties and Deformation Behaviour of Aluminium AA1050 and Aluminium Alloy AA6016
Irena Topica,1, Heinz Werner Höppela,2 and Mathias Gökena,3 a Friedrich-Alexander University Erlangen-Nürnberg, Institute of General Materials Properties,
Martensstraße. 5, 91058 Erlangen, Germany 1 [email protected], 2 [email protected],
Over the past decade it was shown 224that the ultrafine-grained materials have superior
mechanical properties in terms of strength as well as ductility compared to the conventionally
grain-sized materials. Ultrafine-grained materials are especially interesting for light weight
construction in automobile industry, due to a high potential for cost reduction and energy
savings. A very promising method to obtain an ultrafine-grained microstructure is the so-
called accumulative roll-bonding. This is a relatively new and promising severe plastic
deformation process capable of producing ultrafine-grained materials with an average grain
size below 1 µm by applying large plastic strains. Tensile tests of the materials investigated,
i.e. the commercial purity aluminium AA1050 and the aluminium alloy AA6016, showed a
significant increase in strength and some increase in ductility by increasing the number of
rolling cycles. The enhancement of ductility is a crucial characteristic and provides an
immense advantage for the deformation processes of metal sheets. Surprisingly, no significant
difference in the mechanical properties was evident between the rolling and transverse
direction even though the microstructure revealed strongly elongated grains. During hydraulic
bulge testing both materials showed a tendency to higher achievable burst pressures and
strains with an increase in number of rolling cycles, indicating promising deformation
behaviour and good forming potential. Another demand placed upon the ultrafine-grained
metal sheets is the joining technique. The ultrafine-grained accumulative roll bonded
aluminium sheets were successfully joined by friction stir welding, but still require further
optimisation regarding process parameters.
225
BNM-2007, Special Oral Session for Young Scientists (PhDs and PhD Students), 17 August 2007 Oral report
Fatigue Behavior of Aluminium Alloys at Elevated Temperatures
Pawel Gabora,1, Hans Jürgen Maiera,2 and Johannes Mayb,3 a Lehrstuhl für Werkstoffkunde (Materials Science), University of Paderborn,
33095 Paderborn, Germany b Dept. of Materials Science and Engineering, Institute I: General Materials Properties,
University Erlangen-Nürnberg, 91058 Erlangen, Germany 1 [email protected], 2 [email protected] , 3 [email protected]
In the present study we report on the fatigue behavior of ultrafine grained (UFG) aluminium-
magnesium alloys with different amount of Mg processed via equal channel angular pressing
(ECAP). UFG materials produced by ECAP exhibit substantially increased tensile strength,
hardness, and fairly large ductility as compared to their coarse grained (CG) counterparts [1].
For many of the envisaged industrial applications, improved fatigue performance is a critical
issue that needs to be addressed [2, 3]. With this motivation we undertook the current study in
order to gain a deeper understanding of the effect of alloying elements on the cyclic stability
of the UFG microstructure at elevated temperatures. Specifically, we report on the fatigue
behavior of UFG Al-Mg alloys with 0.5 and 2.0 wt.% magnesium and compare the results to
their CG counterparts.
Fatigue tests were conducted in the low-cycle fatigue (LCF) regime at both room and elevated
temperatures using a MTS 810 servohydraulic test system. Strain controlled tests were
performed at a total strain amplitude (∆εtot/2) of 0.3% with a strain rate of dε/dt = 2.0 x 10-3 s-
1. Both materials have been investigated in the CG state and in an UFG state produced by
ECAP. In order to reduce small casting pores, all Al-Mg alloys were first subjected to one
ECAP-pass and a subsequent recrystallization treatment at 673 K for 0.5 hours. For obtaining
an UFG microstructure, eight ECAP passes using route BC
(rotation of the sample after every
pass by 90° in the same direction) have been applied.
The effects of different concentrations of magnesium and of severe plastic deformation
through ECAP on the cyclic response and stability at room and at elevated temperatures are
presented. Scanning electron microscopy and transmission electron microscopy were
employed to study the evolution of the microstructure. The results are discussed in terms of
microstructural processes to shed some light on the deformation mechanisms that determine
stability and fatigue performance of these materials.
226
[1] R.Z. Valiev, E.V Kozlov, Y.F. Ivanov, J. Lian, A.A. Nazarov, and B. Baudelet, Acta
Metall. Mater., 42 (1994) 2467
[2] P. Gabor, D. Canadinc, H.J. Maier, R.J. Hellmig, Z. Zuberova, J. Estrin, submitted to
Metall. Mater. Trans. A
[3] J. May, M. Dinkel, D. Amberger, H. W. Höppel und M. Göken, Metall. Mater. Trans A,
in print
227
BNM-2007, Special Oral Session for Young Scientists (PhDs and PhD Students), 17 August 2007 Oral report
On the Role of Grain Boundary Character in Creep Strength of FeCr Alloys Kwan-Gyu Tak1, U. Schulz and G. Eggeler
Institut für Werkstoffe, Ruhr-Universität Bochum, D-44801 Bochum, Germany 1 [email protected]
In a recent study the creep behaviour of two FeCr alloys was compared, a tempered
martensite ferritic steel (German grade: X20) and a binary iron chromium alloy (Fe10Cr) with
the same Cr content as X20 which was severely plastically deformed by equal channel
angular pressing (ECAP) [1]. After ECAP, tempering of Fe10Cr was performed in order to
establish the same micro grain size and room temperature strength as X20. The two materials
differ in one important aspect: the micro grain boundaries of X20 are stabilized by carbides
while there are no carbides on the micro grain boundaries of Fe10Cr. X20 was shown to
possess a much higher creep resistance, and this was attributed to the presence of carbides on
its micro grain boundaries. But in order to fully rationalize the difference in creep resistance
between X20 (high creep resistance) and Fe10Cr (low creep resistance) another factor must be
considered [1]. It must be clarified whether the nature of grain boundaries in the two materials
differs and whether this also affects creep resistance [1]. A detailed OIM/EBSD-study of X20
and Fe10Cr before and after creep was performed. The results are presented and discussed in
the light of what is known about the role of grain boundaries in creep. It is shown that the
nature of grain boundaries is less important than the presence of carbides on micro grain
boundaries in determining creep strength.
[1] A. Kostka, K.-G. Tak, R.J. Hellmig, Y. Estrin, G. Eggeler, On the contribution of
carbides and micrograin boundaries to the creep strength of tempered martensite ferritic
steels, Acta Mater., 55 (2007) 539
228
BNM-2007, Special Oral Session for Young Scientists (PhDs and PhD Students), 17 August 2007 Oral report
Characteristics of Vacancy Type Lattice Defects in SPD Nanometals Elena Korznikova1,a,b, Daria Setman2,a, Alexander Korznikov3,a,b, Michael Kerber4,a,
Erhard Schafler5,a and Michael J. Zehetbauer6,a a Physics of Nanostructured Materials, Faculty of Physics University of Vienna,
Boltzmanngasse 5 A-1090 Wien, Austria b Inst. for Metals Superplasticity Problems, 39 Khalturin St., Ufa 45000, Russia
1 [email protected], 2 [email protected], 3 [email protected], 4 [email protected], 5 [email protected], 6 [email protected]
Recent research being focused on point defects in nanostructural materials obtained by severe
plastic deformation (SPD) revealed that a considerable amount of vacancy type defects is
produced. This fact can contribute directly and indirectly to outstanding mechanical properties
of SPD nanomaterials. Thus, any reason is given for detailed studies of point type defects in
severely deformed metals.
Among all methods for measurement of point type defects we have chosen two - residual
electrical resistometry (RER) and differential scanning calorimetry (DSC).
The dependence of vacancy concentration from shear strain and hydrostatic pressure was
investigated on pure Ni 99,998% and Cu 99,99%. These metals have different melting
temperatures and different stacking fault energies. In DSC curves from Cu only one peak,
caused by annealing of all defects is observed [1]. In case of Ni we found an additional peak
corresponding to annealing of single/double vacancies [2]. It is seen (Fig.1) that vacancy
concentration grows with increasing shear strain and pressure till some steady-state. The
temperature of annealing of single-double vacancies does not depend on the strain applied [1].
In case of vacancy agglomerates it is very close to dislocation annealing temperature and we
get an overlap of these two annealing effects in DSC and RER curves. For separation of this
effects dislocation densities, evaluated from X-ray Line Profile Analysis (XPA) were used.
Calculated concentrations of vacancy agglomerates are shown in Fig. 2 for Ni and in Fig.3 for
Cu.
In general (Fig. 1,2,3), the concentration of vacancy type defects increases with increasing
pressure and strain. After the release of pressure, vacancy annihilation takes place and its
intensity depends on the stacking fault energy of the material and the magnitude of pressure
and strain. This can explain the decrease of point defect concentration at high levels of these
parameters. In case of ECAP the decrease of vacancy type defect concentration was not
reached because of lower strains and pressures being present. [1].
229
Another important feature of DSC is the
possibility to determine the activation
enthalpy of defects migration. For this the
method of Kissinger evaluating the peak
temperatures shifts with changing the
heating rates [3] was used. The resulting
activation enthalpies are Qvac = 0.6 eV and
Qdisl = 0.9 eV.
In sum, the combination of the methods
DSC, RER and XPA reveals a powerful tool
in the investigation of vacancy type defects,
especially in materials produced by SPD.
[1] E. Schafler, G. Steiner, E. Korznikova,
M. Kerber, M.J. Zehetbauer, Mater.
Sci. Eng. A, 410 (2005) 169
[2] E. Korznikova, E. Schafler, G. Steiner,
M. Zehetbauer, Proc. 4th Int. Symp.
on ultrafine grained materials, ed. Y.T.
Zhu et al., TMS pub., Warrendale
(2006) 97
[3] H.E. Kissinger, Anal. Chem., 29
(1957) 1702
shear stra in γ0 5 10 15 20 25Va
canc
y co
ncen
tratio
n C
VAC
[10-5
]
3
4
5
6
7
8
9
10
8 G P a4 G P a
Figure 1.Concentration of single-double vacancies in Ni after HPT
1 1 0 100
vaca
ncy
aggl
. con
c. C
aggl
[10-4
]
0
1
2
3
4
5
6
D S C 8 G P a R E R 2 G P a
she a r s tra in γ Figure 2. Concentrations of vacancy agglomerates, obtained from DSC and RER data for Ni after HPT
re s o lv e d s h e a r s tra in γ1 1 0 1 0 0
vaca
ncy
aggl
. con
c. C
aggl
[10-4
]
2 ,5
3 ,5
4 ,5
8 G P a 4 G P a
Figure 3.Concentration of vacancy agglomerates in Cu after HPT
230
BNM-2007, Special Oral Session for Young Scientists (PhDs and PhD Students), 17 August 2007 Oral report
Improvement of Mechanical Properties of Al-Mg-Si Alloys Processed by Equal-Channel Angular Extrusion with Subsequent Annealing
Matthias Hockaufa,1, Lothar W. Meyera,2, Benjamin Zillmanna,3, Corinna Kuprina,4,
Michael Hietscholda,5 and Lutz Krügerb,6 a Technische Universität Chemnitz, Institut für Werkstoffwissenschaft und Werkstofftechnik,
Institut für Physik, Straße der Nationen 62, 09107 Chemnitz, Germany b Technische Universität Bergakademie Freiberg, Institut für Werkstofftechnik,
Gustav-Zeuner Straße 5, 09596 Freiberg, Germany 1 [email protected], 2 [email protected], 3 [email protected],
4 [email protected], 5 [email protected], 6 [email protected]
Very little information is available on the stability of ultrafine grained age-hardening
aluminium alloys at elevated temperatures and the resulting mechanical properties [1,2].
Therefore the objective of the present work is the investigation of the mechanical properties
and microstructure of the commercial aluminum alloys AlMg0.5Si0.4 and AlSi1Mg0.7Mn0.6
(AA6063 and AA6082) with ultrafine grain size after annealing. The materials were
processed by equal channel angular extrusion (ECAE) at room temperature up to total strains
of ~9.2 in the solution heat treated plus water quenched (W) and the peak aged condition
(T6). Hardness measurements were used initially to characterize the behaviour during
isothermal annealing at temperatures between 100°C and 400°C. Subsequently characteristic
states were selected for tensile and Charpy impact toughness testing. Generally, the aging and
recovery/recrystallisation kinetics are similar for both alloys, to the same alloying system. For
the AA6082 significantly smaller grain sizes and about 30 % higher strengths are achieved
compared to the AA6063 with lower alloying content in the as-processed condition. The
deformation of the AA6082 requires 100 MPa backpressure to assure homogeneous plastic
flow while the AA6063 can be processed without additional precautions. The post-ECAE
strengths of the peak aged alloys are slightly higher compared to the materials processed in
the solution heat treated condition. Depending on the annealing temperature the strength
decreased continuously in two stages (recovery and recrystallisation) for the material
processed in the T6 condition. Different behaviour was found for the material processed in the
W condition. An increase in both post-ECAE strength and ductility was found up to a total
strain of ~2.3 during annealing, both the ultimate tensile strength and uniform elongation can
be enhanced for ~40 % compared to the coarse grained commercial material when the
material is ECAE-processed before ageing (see Fig. 1).
231
At strains above ~4.6 this effect of additional
precipitation hardening during annealing is
overcompensated by the significant decrease of
micro-strains, as reported in the literature [3].
The ductility also decreases. The changes of
mechanical properties were found to be more
pronounced at lower annealing temperatures.
These findings are supported by comprehensive
micro-structural investigations. The study shows
that ECAE has the potential to significantly
improve the production efficiency and
mechanical properties of semifinished parts
made of commercial age-hardening Al alloys. The authors gratefully acknowledge the
Deutsche Forschungsgemeinschaft (DFG) for supporting this work carried out within the
framework of project SFB 692.
[1] J. Wang, Y. Iwahashi, Z. Horita, M. Furukawa, M. Nemoto, R.Z. Valiev, T.G. Langdon,
Acta Mater., 7 44 (1996) 2973
[2] N. Gao, M. Starink, M. Furukawa, Z. Horita, Ch. Xu, T.G. Langdon, Mat. Sci. Forum,
503-504 (2006) 275
[3] E. Cerri, P. Leo, Mat. Sci. and Eng. A, 410-411 (2005) 226
Figure 1. Engineering stress–strain curves from tensile tests for the UFG-AlMg0.5Si0.4 without and with annealing
232
Figure 1. Foils and Bars of Nanostructured Cu (top) and Inconel 718 (bottom)
BNM-2007, Special Oral Session for Young Scientists (PhDs and PhD Students), 17 August 2007 Oral report
Bulk Nanostructured Materials by Large-Strain Extrusion Machining and Micro/Meso Scale Components Thereof
Christopher Saldanaa,1, Wilfredo Moscosoa,2, James B. Manna, M. Ravi Shankara,
Srinivasan Chandrasekara, W. Dale Comptona, Alex H. Kinga, Kevin P. Trumblea and
Pin Yangb a School of Industrial Engineering, Purdue University, West Lafayette, IN, USA b School of Materials Engineering, Purdue University, West Lafayette, IN, USA
b Sandia National Laboratories, Albuquerque, NM, USA
1 [email protected], 2 [email protected]
Large-strain deformation processes, such as conventional machining, offer a route for
production of nanostructured and Ultra-Fine Grained (UFG) materials. The chip formation in
machining has demonstrated the ability to impose shear strains of 1-15 in a variety of
moderate to high-strength materials; however, the geometry of the deformation and resulting
chip is not determined a priori. A single-step deformation process – Large Strain Extrusion
Machining (LSEM) – is described, herein, that combines
microstructure refinement by large-strain machining with
simultaneous shape and dimensional control of the chip by
‘extrusion’. Bulk ultra-fine grained (UFG) and nanostructured
materials in the form of foils, plates and bars of controlled
dimensions are shown to result at small deformation rates that
suppress in-situ heating and microstructure coarsening (Figure 1).
The controllability of deformation strain and the microstructure is
demonstrated in foils and plates of copper, Al 6061T6, titanium
and Inconel 718. Micro- and meso-scale components can be
produced from these bulk nanostructured materials using
conventional manufacturing processes like micro-electrodischarge
machining and micro-milling.
233
Figure 2. Micro-gears produced from Nanostructured Inconel 718 (ball point pen tip at top left)
Figure 2 shows an example of micro-gears
created from high-strength, nanostructured
Inconel 718 for power-system device
applications. The LSEM process described here is
analogous to an earlier extrusion-cutting process;
however, these early studies were motivated by
the production of soft, metal strips by machining
at high speeds, a condition that results in high
strain rates, elevated temperatures and,
consequently, annealing of the metal strips
during the deformation. LSEM offers exciting
possibilities for the direct manufacture of foils,
plates, wires, and bars, with a fine-scale
microstructure in a variety of metal and alloy systems. Furthermore, because of the high
levels of superimposed hydrostatic compression prevailing in the deformation zone ahead of
the tool and the ability to vary the strain rate over 4 orders of magnitude, even materials with
a limited number of slip systems (or ductility) like titanium can be subjected to a high level of
deformation at ambient temperature.
234
BNM-2007, Special Oral Session for Young Scientists (PhDs and PhD Students), 17 August 2007 Oral report
Structure and Fatigue Properties of AM60 Magnesium Alloy As Processed by ECAP
Olga Kulyasovaa,1, Rinat Islamgalieva,2, Bernhard Minglerb,3,
Alexander Minkowc,4, Michael Zehetbauerb,5 a Institute of Physics of Advanced Materials, Ufa State Aviation Technical University,
12 K. Marx St., Ufa 450000, Russia b Physics of Nanostructured Materials, Faculty of Physics, University of Vienna,
Boltzmanngasse 5, AT 1090, Vienna, Austria c Ulm University, Institute of Micro and Nanomaterials,
Albert Einstein Allee 47, D-89081 Ulm, Germany 1 [email protected], 2 [email protected], 3 [email protected], 4 [email protected],
The structure and fatigue properties after equal channel angular pressing (ECAP) at different
temperatures have been studied. Special attention was paid to investigations of the structure
after fatigue tests at different stress amplitudes.
Cast billets of the magnesium alloy AM60 (Mg-6%Al-0.13%Mn) were subjected to an ECAP
processing using a die with two channels (circular in cross-section) arranged with an
intersection angle of 120o. The initial rods having a diameter of 20 mm and a length of 100
mm were pressed 10 times (route Bc). Three sets of samples were pressed at temperatures of
350°C, 210°C and 150°C, respectively, to evaluate the influence of the ECAP temperature on
the microstructure and on the mechanical properties.
Fatigue tests were carried out at a frequency of 20 Hz using asymmetrical loading cycles.
Standard flat fatigue specimens with a thickness of 1 mm were tested at constant amplitude
until failure or until at least 5×106 cycles were reached. The structural changes associated with
ECAP pressing were recorded using a transmission electron microscope Philips EM430.
All ECAPed samples exhibited an enhancement of the fatigue limit. This enhancement is well
correlated with grain refinement. For example, the maximum fatigue limit of 120 MPa has
been achieved in the samples having a mean grain size of 1 µm after ECAP at a temperature
of 150 oC, which is 70% higher in comparison with coarse-grained samples. It was
established that the samples ECAPed at 350оС with a mean grain size of about 18 µm do
reach the fatigue limit already at 90 MPa. Decreasing of the ECAP temperature till 210оС
leads to a decrease of the mean grain size to 2 µm and to a concomitant increase of the fatigue
limit up to 110 MPa. For comparison the fatigue limit of the coarse grained state of the
magnesium alloy AM60 was equal to about 80 MPa.
235
The mean grain size of the ECAP samples and the size of twins which appreciably emerge
after the fatigue tests depended strongly on both the structure before the test and the stress
amplitude applied. The twin density after fatigue tests was highest in case of high stress
amplitude applied and in areas where no precipitates were detected. After fatigue tests at low
stress amplitude no twins but a slight increase of the mean grain size occurred in the areas
with precipitates being present. The changes in structure of the ECAP processed samples after
fatigue tests have been examined by EBSD.
[1] H.K. Kim, W.J. Kim. Mater. Sci. Eng. A, 385 (2004) 300
[2] O.B. Kulyasova, R.K. Islamgaliev, Mater. Sci. Forum, 503-504 (2006) 609
[3] H. Mayer, M. Papakyriacou, B. Zettl, S.E. Stanzl-Tschegg, Int. J. Fatigue, 25 (2003)
245
[4] R.Z.Valiev, T.G. Langdon, Prog. Mater. Sci ., 51 (2006) 881
236
BNM-2007, Special Oral Session for Young Scientists (PhDs and PhD Students), 17 August 2007 Oral report
Consolidation of Nanocrystalline AlMg4.8 Powder via ECAP Back Pressure Marco Hüllera,1, Johannes Vlceka,2 , Heinz Werner Höppelb,3 and Mathias Gökenb,4
a EADS Deutschland GmbH, EADS Innovation Works, 81663 München, Germany b Department of Materials Science and Engineering, Institute I: General Materials Properties WWI,
University Erlangen-Nürnberg, Martensstr. 5, 91058 Erlangen, Germany 1 [email protected], 2 [email protected], 3 [email protected],
Ball milled nanocrystalline AlMg4.8 powder was subjected to ECAP in order to receive a
nanostructured bulk material. ECAP seems to be very beneficial for the compaction of
aluminium powders in the non-equilibrium state as processing temperatures are rather low
and severe shearing is beneficial for good particle bonding [1]. The quality of the
consolidation is crucial as according to Sanders et. al. [2] the mechanical properties of
nanostructured materials are very sensitive to defects.
ECAP route BC with applied back pressure was accomplished at a temperature of 200°C
without preliminary consolidation at Monash University (Australia). The ECAP processed
samples were investigated concerning density, grain structure by means of TEM, and
mechanical properties by means of hardness and compression tests after 1, 4 and 8 passes.
The as-milled powder exhibits a monomodal grain structure with an average grain size of
∼75 nm. After the first ECAP pass a bimodal grain structure is obtained. Larger grains of 300-
800 µm are embedded in the initial
nanosized grains. The average grain
size increased from 75 nm in the
powder state up to 240, 260 and
270 nm after 1, 4 and 8 passes
respectively. Concurrently the
hardness of the specimens decreased.
Characterisation of the microstructure
revealed full consolidation after the
first ECAP pass. During subsequent
passes the homogeneity of the microstructure was improved. These findings were confirmed
by density measurements (Fig. 1). Even after the first ECAP pass a density of 99.4% was
achieved.
93
94
95
96
97
98
99
100
HIP 1 Pass 4 Passes 8 Passes
Den
sity
[%]
Figure 1. Density after 1, 4 and 8 ECAP passes related to hot isostatically pressed sample (HIP-530°C/3h/1700bar)
237
The mechanical properties were
evaluated via compression tests
at a strain rate dε/dt of 10-4 s-1
and are given in Fig. 2. High
yield strength of ∼500 MPa and
no strain hardening was detected
for the 1 pass sample. 4 and 8
pass samples reveal both
pronounced strain hardening and
high strain values.
[1] K. Xia, X. Wu, Scripta Materialia, 53 (2005) 1225
[2] P.G. Sanders, C.J. Youngdahl, J.R. Weertmann, Mater. Sci. Eng., A234-236 (1997) 77
0
100
200
300
400
500
600
700
800
0 5 10 15 20 25 30
True strain [%]
Stre
ss [M
Pa]
1 Pass
4 Passes
8 Passes
Figure 2. Stress-strain curves from compression tests of AlMg4.8 after 1, 4 and 8 ECAP passes
238
BNM-2007, Special Oral Session for Young Scientists (PhDs and PhD Students), 17 August 2007 Oral report
Nanostructure and Properties of the Large Size Ti49,4Ni50,6 Alloy Sample Subjected to High Pressure Torsion Deformation
Alexander Lukyanova,1, Dmitry Gunderova,2, Egor Prokofieva,
Vladimir Pushinb and Aleksey Uksusnikovb a. Ufa Statement Aviation Technical University, Institute of Physics of Advanced Materials,
12 K. Marx St., Ufa 450000, Russia b. Ural Division of Russian Academy of Science, Institute of Metal Physics,
18 S. Kovalevskaya St., Ekaterinburg 620041, Russia [email protected] 2. [email protected]
It is well-known that TiNi-based alloys functional materials possessing shape memory effect
(SME) due to thermoelastic martensitic transformations. These alloys are widely used in
various engineering mechanisms and in medicine as implants and medical devices [1, 2]. A
perspective way of improving properties of metals and alloys is formation of NC structure
using methods of the severe plastic deformation (SPD) [3]. In earlier works [4, 5] amorphous
and nanocrystalline (NC) structures in TiNi have been processed by high pressure torsion
(HPT). Subsequent annealings lead to the formation of nanostructured state. However, these
works considered only small HPT-processed samples 5-10 mm in diameter and approximately
0.1-0.15 mm in thickness, which hampered the investigation of mechanical properties and
shape-memory effects and did not allow using high-strength NC TiNi for practical
application. A new unique equipment «SCROODG-200» allowing to produce HPT samples
with the diameter of 20 mm and thickness of up to 1 mm under pressure of up to 6 GPa was
created in IPAM USATU. Such HPT method enabled to fabrication of integral samples
without cracks and macrodefects as well as enhancement of their mechanical properties. In
this work the results of new HPT method of producing large size samples of Ti49,4Ni50,6 alloy
are first demonstrated for the first time. Fabrication of NC structure by subsequent annealings
of such HPT samples is first demonstrated for the first time as well. An initial Ti49,4Ni50,6
alloy from Intrinsic Devices Incorporation (San Francisco, California) has an austenite B2
structure with a grain size of about 60 mkm was used in the experiments. A sample in the
form of disc, cut from a quenched rod, was processed by HPT n=7 turns in a groove with the
diameter of 20 mm and depth of 0,5 mm under the pressure of 6 GPa. TEM studies of
microstructure showed that the samples processed by HPT, n=7 had amorphous-
nanocrystalline state with the size of nanocrystals of about 20 nm. Halo in electron diffraction
patterns pointer to a considerable amount of an amorphous phase. Annealing at 300°С (1
239
hour) did not result in a complete crystallization and amorphous phase was preserved.
Samples processed by HPT with n=7 had grains with an average size of 10 nm. After
annealing at 400ºС (1 hour) samples underwent a complete nanocrystallization and an average
grain size constituted 30 nm. The subsequent annealing at 500ºС leads to grain growth up to
45 nm. The grain boundaries become more clear and sharp, than after annealing at 400°C. The
results we obtained after annealings are close to results obtained for small HPT samples [5].
Mechanical tests showed that amorphous-nanocrystalline TiNi produced by HPT had much
higher strength in comparison with initial microcrystalline. Thus, microhardness
measurements showed values increasing from initial 1800 MPa to 5500 MPa after HPT
processing. Nanocrystalline state result s in the record value of strength for this material –
2600 MPa with the elongation of about 5%. Thus, HPT with n = 7 turns in heads with a
groove combined with subsequent annealings at varying temperatures allowed to obtain
integral nanostructured Ti49.4Ni50.6 specimens with various grain sizes. Now, it is possible to
carry out complex investigations of NC structure effect on mechanical and functional
properties of TiNi alloys.
[1] V.N. Zhuravlev, V.G. Pushin. Alloy with thermomechanical shape memory and their
application in medicine, Ekaterinburg, UrD of RAS, (2000) 151 p.
[2] V.G. Pushin, R.Z. Valiev, Sol. Stat. Phenomena, 94 (2003) 12
[3] V.G. Pushin, V.V. Stolyarov, R.Z. Valiev et al., Phys. Met. Metallogr., 1 94 (2002) S54
[4] S.D. Prokoshkin, I.Yu. Khmelevskaya, S.V. Dobatkin et al., Acta Mater., 53 (2005)
2703
[5] A.V. Sergueeva et al. Mater. Sci. Eng. A, 339 (2003) 1259
240
Poster session C
241
BNM-2007, 17 August, Poster Session C Invited poster report
The Effect of Non-Monotony and Deformation Center on Grain Refinement in Metals Imposed to Severe Plastic Deformation
Farid Z. Utyasheva,1, Georgy I. Raabb,2
a Institute for Metals Superplasticity Problems RAS, 39 St. Khalturin St.,
Ufa 450001, Russia b Institute of Physics of Advanced Materials, Ufa State Aviation Technical University,
12 K. Marx St., Ufa 450000, Russia 1 ufz [email protected], 2 [email protected]
Grain refinement occurring in metals imposed to severe plastic deformation is
considered as a process of fragment boundary and band formation due to the action of the
mechanisms of both crystallographic and non-crystallographic shears. It is shown that the
activity of the mechanisms identified and consequently the value of grain refinement depend
on the deformation center geometry and non-monotony of the process. A model of structure
refinement in metals subjected to equal channel angular pressing and torsion under pressure
has been proposed. In accordance with this model the sizes of forming fragments and bands in
pure metals reduce with increasing the curvature-twisting of a crystal lattice – a tensor density
of dislocations from the bend and turn of the sample in the center of deformation. The angular
misorientations of the mentioned structure elements rise with increasing the deformation non-
monotony to some definite limits. The average value of the accumulated curvature-twisting in
the center of deformation can be defined as a change in the ratio of the center surface area to
the volume. The dependence of this ratio on the accumulated deformation has been
determined which provides determination of a forming fragment size to the first
approximation. The paper evaluates a grain size of metals processed by different methods of
deformation. It has been shown that one can regulate the value of grain refinement by
changing the deformation center geometry.
242
BNM-2007, 17 August, Poster Session C Poster report
Evolution of Residual Stresses, Crystallographic Texture and Microhardness in Cu and Ti Subjected to Equal-Channel Angular Pressing
Igor V. Alexandrova,1, Jan Bonarskib,2, Alexander I. Korshunovc,3,
Vil D. Sitdikova,4 and Leszek Tarkowskib,5 a Institute of Physics of Advanced Materials, Ufa State Aviation Technical University,
12 K. Marx St., Ufa 450000, Russia b Institute of Metallurgy and Materials Science , Polish Academy of Sciences,
25 Reymonta St. , 30-059 Krakow, Poland c Russian Federal Nuclear center VNIIEF, 37 Mira Av., Sarov 607190, Russia
1 [email protected], 2 [email protected], 3 [email protected], 4 [email protected], 5 [email protected]
Numerous studies of recent years testify to the fact that severe plastic deformation (SPD)
techniques provide formation of bulk nanostructured states and developed preferred
crystallographic orientations (crystallographic texture) in different metallic materials [1,2].
Bulk billets deformed by SPD techniques suffer very high plastic strain degrees. As a result a
high level of residual stresses, microstructure with the grain size of tens and hundreds
nanometers, developed crystallographic texture, strength properties magnified 2-5 times in
comparison with the coarse-grained states are typical of them. Besides, a definite
heterogeneity is specific for the mentioned parameters of microstructure and properties [3].
Analysis of the mentioned parameters of microstructure and properties is urgent from the
point of view of formation of bulk homogeneous nanostructured billets with high physical and
mechanical properties.
This report presents the result of detailed X-ray investigations of the evolution of residual
stresses and crystallographic texture. The analysis of microhardness in bulk Cu and Ti billets
subjected to equal-channel angular pressing (ECAP) is also delivered. The investigations were
carried out in different points of the central vertical section of billets, which partially had
passed through the die-set channels during the 1st and subsequent (up to the 4th inclusively)
passes of ECA-pressing (route ВС). The temperature for ECA-pressing was chosen room in
case of Cu billets and 450°С in case of Ti billets.
The XRD analysis was performed using the filtered CuKα radiation by means of “Burker D-8
Discover” diffractometer. Analysis of the diffraction effects in the chosen areas of the sample
surface enable to identify the topography of texture and residual stresses generated during the
ECAP. It was shown that planar distribution (longitudinal section) of the identified residual
stresses and crystallographic texture in the middle plane during ECAP process of Cu and Ti
243
ingots is strongly inhomogeneous. The main texture formation processes during the 1st ECAP
pass take place in the zone, adjacent to the plane of the die-set channels’ intersection. The
global texture is rebuild in the zone during subsequent ECAP passes which is resulted in its
softening.
The microhardness measurements were performed with computer-controlled Vickers
microhardness test unit “Duramin” using “Duramin 20” software. It was shown that
microhardness grew for Cu and Ti samples with the number of ECAP passes increasing. In all
the cases the microhardness value along the longitudinal axis is higher in comparison with the
microhardness along the cross section. The microhardness distribution in the vertical
longitudinal section becomes less homogeneous after the 1st ECAP pass in comparison with
the initial state but homogenizes during the following passes in both metals.
The correlation between the X-ray data and the microhardness measurement results is
revealed and discussed.
[1] R.Z. Valiev, R.K. Islamgaliev, I.V. Alexandrov, Progress Mater. Sci., 45 (2000) 103
[2] M. Zehetbauer, R. Z. Valiev (Eds.), Nanomaterials by Severe Plastic Deformation,
Vienna (Austria), Wiley/VCH, Weinheim, Germany, (2004) 245
[3] A.I. Korshunov, I.I. Vedernikova, L.V. Polyakov, T.N. Kravchenko, A.A. Smolyakov
and V.P. Soloviev, Mater. Sci. Forum, 503-504 (2005) 693
244
BNM-2007, 17 August, Poster Session C Poster report
Computer Simulation of Material Flow during Equal-Channel Angular Pressing Vladimir Zhernakova, Igor Budilova, Igor Alexandrovb,1
a Ufa State Aviation Technical University, 12 K. Marx St., Ufa 450000 Russia b Institute of Physics of Advanced Materials, Ufa State Aviation Technical University,
12 K. Marx St., Ufa 450000 Russia 1 [email protected]
Material flow has a complicated character in the conditions of severe plastic deformation
(SPD) realized by equal-channel angular (ECA) pressing. The latter is defined by the type of
crystalline lattice, character of strain hardening in material, its contained plasticity,
temperature and strain rate, geometry of the channels in the die-set, friction coefficient
between die-set walls and the surface of the deformed billet etc. On the other hand,
controlling the character of material flow, volume and shape of the deformation zone can
provide an optimum level and distribution of accumulated strains in the body of a deformed
billet. Computer simulation by means of finite element method is one of the most effective
tools for conducting such a research.
The report presents the results of 3D modeling of the processes of material flow during ECA
pressing of Ti billets. Influence of the character of strain hardening, number of passes, route
on the value of accumulated strains and their intensity was studied. Conclusion about
potential areas of crack nucleation during realization of different passes of a billet through the
die-set channels was made.
245
BNM-2007, 17 August, Poster Session C Poster report
The Effects of Conventional direct Extrusion of the Twist Extruded Ti-6Al-4V by Means of Finite Element Method
Amir R. Shahab1, S.A.A. Akbari Mousavi2, M. Mastoori3 School of Metallurgy and Materials Engineering, School College of Engineering, University of Tehran,
P.O. Box: 11365-4563 Tehran, Iran 1 [email protected], 2 [email protected], 3 [email protected]
Recently some numerical investigations on Twist Extrusion (TE) process is reported as one of
the prospective method among SPD methods in order to produce nanostructured bulk
materials. Research on TE has been carried out till now imply on inhomogenities of structure
in cross-section and in longitudinal direction as well [1, 2]. The reason is existence of friction
among sample and die surfaces in turn cause more strain exertion at the corners of cross-
section specially on one of diagonals. Change of stress-strain mode is another reason of
creation of inhomogenities in mechanical properties of product.
In this investigation, the effects of conventional direct extrusion of TEed product as a
consequent cold work are studied and simulated using FEM. Appropriate constitutive
equation of Ti-6Al-4V is selected as the material properties and the temperature is chosen to
be 900°C. Effects of 17% reduction in direct extrusion
after one pass of twist extrusion (Fig. 1) with 90 degrees
turning on von-Misses stress, equivalent plastic strain and
shear strains distribution on cross-section.
Shear strains play important roles in grain refinement,
simple shear mechanism and characteristic anisotropy.
According to our results, consequent extrusion in addition
to calibrate sample for further deformation passes, acts as
a back pressure on the sample to complement hydrostatic
pressure. Also exerting extrusion cause more uniform distribution of shear strain and finally
moderate the intensity of equivalent plastic strain in different points of cross section and this
matter is in good agreement with experimental reported results.
[1] A.R. Shahab, S.A.A. Akbari Mousavi, M. Mastoori, 8th international conference of
nanostructured materials, NANO2006, August 20-25, Banglore, India
[2] S.A.A. Akbari Mousavi, A.R. Shahab, M. Mastoori, Journal of physics and technology
of high pressure, 1 7 (2007)
Figure 1. Schematic figure of die with twist and direct conventional extrusion
246
BNM-2007, 17 August, Poster Session C Poster report
Molecular Dynamic Simulation of Interaction between Dislocations and Grain Boundaries in Thin Metal Films
Dmitriy Bachurina,1, Daniel Weyganda,2, Peter Gumbscha,b,3
a Institut für Zuverlässigkeit von Bauteilen und Systemen (IZBS), Universität Karlsruhe,
12 Kaiserstrasse, Karlsruhe 76131, Germany b Fraunhofer Institut für Werkstoffmechanik (IWM), 11-13 Wöhlerstrasse, Freiburg 79108, Germany 1 [email protected], 2 [email protected], 3 [email protected]
Thin polycrystalline films made from metallic materials are widely used in microelectronic
devices. Usually these metal films have thicknesses below 1 µm. Mechanical properties of
such films differ considerably from the properties of bulk materials.
Plasticity of polycrystalline metal films depends on the interaction between lattice
dislocations and grain boundaries (GBs). The type of GBs (tilt, twist, symmetrical,
asymmetrical) and its energetic are believed to determine the interaction mechanisms of
lattice dislocations with GBs: lattice dislocation can be absorbed or transmitted.
Experiments show a strong <111> texture of polycrystalline fcc metal thin films (with a
weaker <100> component). As the starting point for our investigations, symmetrical and
asymmetrical [111] tilt GBs have been chosen and their structure and energy have been
studied. An Embedded atom method potential for Nickel was used. Periodic boundary
conditions were employed in the direction parallel to the tilt axis. The structures were relaxed
at zero applied pressure.
For symmetrical GBs the calculations give structures well-comparable with structures known
from literature. However, it should be noted that the stable structures and the minimal GB
energies for some of studied boundaries can only be achieved by translation of one of the
grains parallel to the GB plane. Investigations show that there is no strong dependency of the
energy of asymmetrical GBs on the inclination angle. The energy of asymmetrical GB is
about 0.1÷0.2 J/m2 higher than the energy of corresponding symmetrical boundary.
Molecular dynamics simulation of dislocation – grain boundary interactions have been done
in the bicrystal. No periodic boundary conditions were used. The simulation cell sizes along
three dimensions were 26×35×18 nm3. An incoming dislocation glides under applied strain
tensor on the plane [ 1�1�1 ] and meets the GB. The simulation box was deformed up to 1÷2%.
An interaction with a number of different (high- and small-angle) symmetrical and
asymmetrical tilt GBs has been investigated. As it has been expected, calculations have shown
no transmission effects for high-angle GBs. The detailed analysis of the mechanisms of
247
interaction of lattice dislocations with 3D GBs is a challenging task and currently under
investigation.
248
BNM-2007, 17 August, Poster Session C Poster report
Features of the Formation of the Nanostructured States in V-4Ti-4Cr Alloys under Severe Plastic Deformations
Ivan Ditenberga,1, Alexander Tyumentseva,2, Yury Pinzhina,3,
Alexander Korotaevb,4 and Vyacheslav Chernovc,5 a Institute of Strength Physics and Material Science, Siberian Division, Russian Academy of Sciences,
2/1 Akademicheskii Pr., Tomsk 634050, Russia b Tomsk State University, 36 Lenin Pr., Tomsk 634050, Russia
c A.A. Bochvar Research Institute of Inorganic Materials, 5 Rogov St., Moscow 123060, Russia 1 [email protected], 2 [email protected], 3 [email protected], 4 [email protected], 5 [email protected]
Transmission electron microscopy was used to examine the microstructure formed under
severe deformations (ε ≥ 93%) in V–4Ti–4Cr alloys rolled at room temperature. Microband
nanostructured states and high-energy defect substructures have been detected that feature a
high curvature (up to χij ≈ 200 µm–1) of the crystal lattice, a high density (∂θ/∂r ≤ 200 µm–1) of
partial disclinations at the microband boundaries, and local internal stresses reaching σлок ≈
Е/30 (Е being Young’s modulus). It has been shown that important features of the microband
structure are the prevailing reorientation of the microbands around type ⟨110⟩ directions and
the high density of large-angle boundaries with reorientation vectors θ = (50–60)0⟨110⟩. It
has been supposed that these features result from the plastic deformation and reorientation of
the crystal lattice through mechanisms of local martensitic type reversible transformations
(direct plus reverse transformations accompanied by a change of the reverse transformation
system) in fields of high local stresses. The most important factors involved in the new
deformation mechanism and the prerequisites to its realization are discussed, namely, the
degree of phase instability of the material, the intensity of local internal stresses, and the
possibility of the relaxation of these stresses by ordinary plastic flow mechanisms. Theoretical
analysis of the atomic mechanisms and distortions of the above transformations has shown
that the most important features of the carriers of this deformation mode are the absence of
any effective obstacles, under severe deformations included, and the possibility of the high-
defect structural states formed under these conditions to intensely relax. It is supposed that
the combined effect of these two factors underlies the phenomenon of ultrahigh technological
plasticity of the alloys under investigation: very high (practically unlimited) plastic strains can
be achieved by rolling them at room temperature without intermediate annealings.
The work was supported by Administration of Tomsk Region and Russian Foundation of
Basic Researches, grants RFBR № 05-03-98003 and 06-02-16312-a.
249
BNM-2007, 17 August, Poster Session C Poster report
Methods and Tools for 3D Structure Prediction of Molecular Crystals and Nanoclusters
Alexander Dzyabchenko Karpov Institute of Physical Chemistry, 10 Vorontsovo pole, Moscow 105064, Russian Federation
The ab initio crystal structure prediction (CSP) of a molecular crystal assumes constructing by
theoretical computational methods from the only knowledge of the chemical diagram of the
molecule its full three-dimensional structure stable under the specified P,T conditions. As a
matter of fact, the global lattice-energy minimization results for a given molecule in a list of
structures ranked by energy that are theoretical crystal phases - both known and not yet
experimentally observed. The common methodology is to use the known crystal structures
and their observed physical and thermodynamic properties as experimental base to test and
refine the structure prediction methods in use, in particular to fine tune the semi-empirical
potential energy functions used to compute lattice energy. The quantum chemical methods
still hardly practical to use in global minimization of large molecular ensembles and solids
because of very high computational expense. Up to date they are normally applied to the
consideration of small model systems with the aim to calibrate less sophisticated methods
based on empirical atom-atom potentials. The global energy landscape in the multi-
dimensional parameter space contains all the information necessary to understand and predict
the solid state properties and phenomena that occur in response to a change in external
parameters (pressure, temperature, electric or magnetic field, light irradiation etc.). Along
with the high significance of the CSP problem in fundamental science, the interest to it is
promoted by prospects of application of the computational tools in crystal engineering of new
polymorphs of novel and known pharmaceuticals. In powder X-ray structure determinations,
the CSP tools are frequently used to find a structure solution suitable for its final refinement
by the Rietveld technique. Generally, the CSP methods are being developed towards powerful
computer instruments for molecular materials engineering which incorporate theoretical
energy-based structure simulation methods, screen graphics tools for structure design and
modification, structural databases and programs for structure characterization and comparison
with experiment. Over the several last years, the Cambridge Crystallographic Data Center
have organized several 'blind tests' on organic crystal structure prediction aimed at
independent assessment of the computational methods an programs presented by their authors
and research groups as structure-prediction instruments [1].
250
In this talk, we review the progress in the organic CSP studies made up to date. We report the
principal features of our programs used in the different steps of CSP computations. These
comprise the PMC program for global search of optimal packings in terms of rigid molecular
fragments of generally flexible organic molecules. Another program, CRYCOM, serves for
comparison of crystal structures by matching of crystal-lattice dimensions and rigid body
parameters of molecular fragments. Finally, we present the FitMEP program which serves to
adjust point charge magnitudes and positions to reproduce best the molecular electrostatic
potential from quantum chemical calculation.
Examples of successful structure predictions to be given involve a high-pressure phase of
benzene, C60-monomer structures, high-pressure polymerization products of C60 and C70
fullerenes, the biphenyl phases, the complex salt [Co(NH3)5NO2]Cl2, the Cambridge structure
prediction test structures, and a number of powder X-ray structure solutions based on lattice
energy minimization.
This work was supported by funding from RFBR (project 05-03-32808).
[1] G.M. Day, et al. Acta crystallogr., B61 (2005) 511
251
BNM-2007, 17 August, Poster Session C Poster report
The Role of Processing and Sample Geometry for Ductility of SPD Nanocrystalline Metals
Arkadiusz K. Wieczoreka,1, Michael J. Zehetbauera,2 , Malgorzata Lewandowskab,3,
Kinga Wawerb,4 and Elias C. Aifantisc,5 a Research Group Physics of Nanostructured Materials, Faculty of Physics, University of Vienna,
Boltzmanngasse 5, A-1090 Wien, Austria b Warsaw University of Technology, Faculty of Materials Science and Engineering,
Woloska 141, 02-507 Warsaw, Poland c Laboratory of Mechanics and Materials Polytechnic School
Aristotle University of Thessaloniki, Greece 1 [email protected], 2 [email protected], 3 [email protected], 4 [email protected],
Thanks to their outstanding properties, nanocrystalline materials become increasingly
attractive for applications in the industry. Plastic deformation has proved to be very effective
in producing bulk nanostructured metals [1, 2], under conditions of enhanced hydrostatic
pressure and/or low deformation temperatures (“Severe Plastic Deformation, SPD”).
However, the efficiency of different SPD methods to achieve high mechanical properties is
different even when controllable parameters are the same [3]. Some of these mechanical
properties, namely the ductility, also vary if the dimensions of the tested samples are different.
The aim of this paper has been two-fold; (1) to compare the ductility of pure metals and of
alloys, after being processed by two different SPD techniques with the same experimental
parameters, and (2) find out the influence of tensile test sample geometry to the ductility. In
order to follow aim (2), various preparation procedures leading to different kinds of edges of
samples, as well as systematically changed sample geometries (Fig. 2) have been achieved.
For in-situ SEM and/or AFM observation of possible grain boundary sliding during
deformation, a miniaturized tensile device has been constructed in cooperation with the Erich
Schmid Institute in Leoben, Austria.
The lecture reports on ductility tests done at tensile test samples prepared by HPT and HE, i.e.
by two selected SPD techniques which have achieved under equivalent conditions. The
materials chosen were Cu, Al and Al 7475 alloy. Results of measurements will be presented
and analysed in terms of specific differences of the two SPD methods applied. Moreover, the
dependence of ductility on notch depth is demonstrated and attempts are reported to simulate
this dependence by means of the strain gradient theory [4].
252
Figure 1. Tensile test samples cut from the HPT disc
Figure 2. Tensile test samples cut from HPT disc with notches of different depth
[1] R.Z. Valiev, I.V. Islamgaliev, I.V. Alexandrov, Prog. Mater. Sci., 45 (2000) 103
[2] M.J. Zehetbauer (ed.), Adv. Eng. Mater., Special issue on Nanomaterials by Severe
Plastic Deformation 5 (2003)
[3] M. Richert, H.P. Stüwe, M.J. Zehetbauer, J. Richert, R. Pippan, Ch. Motz, A.E.
Schafler, Mater. Sci. Eng. A, 355 (2003) 180
[4] N.A. Fleck, G.M. Muller, M.F. Ashby, J.W. Hutchinson, Acta Metal. Mater., 2 (1994)
475
253
BNM-2007, 17 August, Poster Session C Poster report
The Grain Boundaries Processes and Micromechanisms of Plastic Deformation of Nanostructured Materials
Alik K. Emaletdinov Ufa State Aviation Technical University, 12 K. Marx St., Ufa 450000, Russia
The special mechanical properties of nanostructured materials are defined by properties and
kinetics of lattice and grain boundaries dislocations. The change of lattice dislocations
properties is caused by very anharmonic lattice potential. In this paper the static dislocations
are investigated in anharmonic lattice and their fields of displacement and stress are
calculated. The fields of stress and power characteristics of dislocation pile-ups and
conditions of their interactions will be modified, for example, at formation microcracks, the
maximum density of dislocations and other.
In this work the physical model of grain boundary dislocations are proposed. It is shown that
grain boundary quasidislocations (Somigliana dislocations) are existed in usual boundaries.
The own elastic fields and energy of grain boundary quasidislocations, conditions of
dissociation of lattice dislocations entered into the boundary and time of spreeding are
investigated. The numerical curves of the fields of quasidislocation stress are shown. It is
shown that the using of method of long-acting stress dislocations cause the overstated
evaluations in geometrical models. The own elastic energy of quasidislocations is in two
orders less nearly than one of lattice dislocations. On the basis of kinetic Somigliana
dislocations describes the structural effects and mechanical properties of nanostructured
materials. The physical model of kinetics Somigliana dislocations explains the mechanical
properties of glass materials.
A new synergetic model is proposed for superplastic deformation of nanostructured materials,
based on the processes of self-organization and appearance of collective mode of movement
in kinetic of lattice and grain-boundary Somigliana dislocations. On the basis of these
conceptions a system of equations of kinetic defects is obtained which describes the moving
neck on specimen and principal causes of a number of structural effects which have not been
satisfactory explained before are given. The conditions for superplastic deformation are
obtained. Phase schemes of state of system are constructed. The minimal size of specimen for
the development of superplasticity is calculated.
254
BNM-2007, 17 August, Poster Session C Poster report
Microstructure, Microtexture and GBs volution in FCC Materials During Ultra-HighSstrain Deformation
A. A. Gimazova,1, Alexander P. Zhilyaeva,b,2
a Institute for Metals Superplasticity Problems, Russian Academy of Science,
39 Khalturin St., Ufa 450001, Russia b Department of Physical Metallurgy, Centro National de Investigaciones Metallúrgicas (CENIM-CSIS),
8, Avda. Gregorio del Amo, 28040 Madrid, SPAIN 1 [email protected] 2. [email protected]
An investigation was conducted to compare the microstructure and microtexture of pure
nickel, aluminum and copper subjected to ECAP, HPT, machining and their combinations,
such as machining of ECAP specimens, HPT of ECAP copper and HPT of machining chips.
Microstructure, dislocation density and microhardness have been evaluated by x-ray,
transmission and scanning electron microscopy, OIM. Influence of different processing routes
is discussed in terms of accumulated strain and microstructure refinement. The
ECAP+machining+HPT sample shows the maximum microhardness value of 2 GPa that is
200% increase compare to initial sample. TEM investigation shows equiaxed grains with a
mean grain size of ~100 nm. In spite of small size grains’ interior still contains dislocations. It
has to be noted that the same deformation way but without prior ECAP gives noticeable
smaller value of microhardness almost equal to that after solely HPT deformation. On the
other hand the difference in microhardness between edge and center of sample is also smaller:
230 MPa for HPT against 150 MPa for machining+HPT. The grain size obtained by TEM is
around 400 nm for HPT sample and 200 nm for HPT processed from machining chips. Figure
1 shows microhardness and microstrain as a function of coherent domain size.
The greater values of microstrain corresponding
to high concentration level of lattice defects are
found for two samples which have machining
as final stage of deformation process:
machining and ECAP + machining. But ECAP
+ machining + HPT and Machining + HPT
processes did not lead to structure with high
microstrain value what means further HPT
deformation “uses” stored defects in boundary
formation. This may be the reason why HPT
50 100 150 200 250 300 350 400 450 500
1000
1200
1400
1600
1800
2000
0.6
0.8
1.0
1.2
1.4
1.6
1.8
Microhardness
Hv,
MPa
Domain size, nm
Microstrain
Mic
rost
rain
, 10-3
Figure 1. Microhardness and micro strain as a function of coherent domain size
255
after machining gives more uniform distribution of microhardness than solely HPT.
Summary:
• The least grain size obtained in pure copper is around 100nm.
• The maximum microhardness value mounts 2GPa (200% of macrocristalline copper
microhardness value)
• High microstrain level appears for machining-ended deformation consequences. During
following HPT deformation microstrain level goes down.
256
BNM-2007, 17 August, Poster Session C Poster report
Atomistic Simulations of Wedge Disclinations in a [123] Tilt Grain Boundary Albert M. Iskandarova,1, Ayrat A. Nazarova,2
a Ufa State Aviation Technical University, 12 K. Marx St., Ufa 450000, Russia 1 [email protected], 2 [email protected]
Atomic computer simulation is one of the most powerful methods for studying of the atomic
structure of defects and processes in materials. At present various properties of nanostructured
materials are studied by means of atomistic simulations. However, in these simulations
usually it is ignored that grain boundaries (GBs) and their junctions in real nanostructured
materials have a nonequilibrium structure and contain linear defects such as extrinsic
dislocations and disclinations. The nonequilibrium state of the GBs can result in an
enhancement of the GB diffusion coefficient in nanocrystals as compared to the diffusion
coefficient along GBs in conventional polycrystalline materials. Atomic computer simulations
can help to elucidate the underlying structural mechanisms resulting in this enhancement of
the diffusion. Another important issue concerning the nonequilibrium GB structure is its
effect on the mechanisms of interfacial crack formation and propagation. In particular, the
disclinations, being stress concentrators, can be sites for a preferential crack formation. And at
last, but not at least, disclinations can result in a local amorphization of crystals. This can
result in a transformation of the nanocrystalline structure into an amorphous one during severe
plastic deformation and ball milling.
Mechanisms of relaxation of wedge disclinations in bicrystalline nanosized cylinders of Ni
and Ti have recently been studied using molecular dynamics simulations [1-3]. These studies
have shown that above a certain critical strength, which depends on the temperature and
radius of the cylinder, the disclinations relax via a crack nucleation. In Ti competing
relaxation mechanisms, viz, new grain formation and disclination core amorphization have
been found to retard the crack formation. The cited studies have been done for disclinations in
special low-index tilt GBs, with axes [001] in Ni and [1100] in Ti.
The aim of the present work is a study of the possibility of a disclination core amorphization
in a more general [123] tilt GB in fcc metals. Simulations were carried out for Ni and Pd
bicrystalline nanowires of 20 nm radius containing a negative wedge disclination. Equilibrium
structures of the nanowires at different disclination strength values and temperatures are
studied. The results show that for both metals the disclinations relax via crack nucleation,
when the disclination strength is above the critical one. When the disclination strength
257
approaches the critical one from below, completely
ordered structures were observed in Ni, while in Pd a
trend for disordering of the disclination core was found
(see figure).
However, the disordered configurations have slightly
higher potential energy in comparison to the ordered
structure that suggests that they are not favored
structures in [123] tilt GBs in fcc metals. The results
imply that tilt GBs in fcc metals have a less trend for the
amorphization through disclinations than hcp metals.
This work was supported by a grant from the Science
and Education Foundation “Intels”, Magnitogorsk,
Russia.
[1] R.T. Murzaev, A.A. Nazarov. Phys. Metals Metallogr., 102 (2006) 198
[2] K. Zhou, A.A. Nazarov, M.S. Wu, Phys. Rev. B, 73 (2006)
[3] K Zhou, A. A. Nazarov, M. S. Wu, Phys. Rev. Letters, 98 035501 (2007)
Figure 1. Amorphized disclination core in[123] tilt GB in Pd
258
BNM-2007, 17 August, Poster Session C Poster report
Technological Parameters Optimization of the Process for Producing Bulk Nanostructured Semi - Products Made of Ti
Irek V. Kandarova,1, Vladimir V. Latysha,2, Valery M. Polovnikovb,3 and
Gulnaz H. Salimgareevaa,4 a Ufa State Aviation Technical University, 12 K. Marx St., Ufa 450000, Russia
b Innovation Scientific Technical Center “Iskra”, 81 Pushkin St., Ufa 450000, Russia 1 [email protected] , 2 [email protected] , 3 [email protected], 4 [email protected]
There are important requirements for the development of new structural metals and alloys.
They are as follows: providing of high technological properties, i.e. high ductility at low
deformation stress and obtaining of limit values of service properties, i.e. structural strength,
high fatigue properties etc. Formation of nanostructures in commercial Ti is an advanced
approach for obtaining such properties. Production of Ti billets industrially requires not only
new structural solutions necessary for producing deforming equipment and die-set, but also
optimization of the technological parameters as there is a necessity to reduce a range of waste
material, an enhance in the process efficiency and enhance in properties stability in case of
mass production.
This work represents the results of investigations and optimization of the combined process
for producing nonostructured semi-products both at SPD stage and in the process of
subsequent strain – thermal treatment.
It was shown that the use of preliminary deformation before ECAP (at SPD stage) allowed
one to enhance a rate of work (process), to decrease the number of pressing passes from 4-8
up to 2. Besides, the quality of billets (a decrease in structured heterogeneity on the rings of
the billet and defective layer) increased.
On the basis of the plastometry investigations there were proposed and investigated several
variants of strain – hardening processing of UFG Ti billets after SPD. The data obtained were
used for creating the process model and the corresponding software (using Qform3D system),
that allows one to carry out a computer process modeling at the most critical stage of the billet
properties formation: SPD (ECAP) → strain hardening (forging broaching).
The results of these investigations made it possible to propose the technological process that
includes procedures of forging broaching, rolling and drawing. The technological process is
optimal from the point of view of productivity, material expenditure and obtainment of the
specified geometry and properties.
259
BNM-2007, 17 August, Poster Session C Poster report
Atomistic Modeling of the Nanoparticle Agglomeration Ilya I. Karkina,1, Lidia E. Karkinaa,2 and Yury N. Gornostyreva,3
a Institute of Metal Physics, 18 S. Kovalevskaya St., Ekaterinburg 620041, GSP-170, Russia 1 [email protected], 2 [email protected], 3 [email protected]
In past decade, the increasing interest of researchers was turned to bulk nanocrystalline
materials and alloys and, in particular, one that is constructed from nanosize elements
(powders, films). Experimental results show the spontaneity agglomeration of nanoparticles
during sintering of the powder materials and this phenomenon seriously complicate the
fabrication of nanostructural materials with homogeneous space distribution of particles. To
date, the problem of atomic structural transformations during agglomeration two or more
number of nanoparticles is still unstudied both experimentally and theoretically. In recent
investigations the main attention was focus on problem of small clusters with hundred atoms;
while the particles with thousands atoms are especially interesting in context of nanostructural
materials. Currently, there is no sufficient understanding of the relation between the structural
state in the clusters of real materials, the aging regime on the one hand and specific features of
agglomeration on the other hand.
We present the results of the investigation of the mechanisms the metal clusters structural
transformations at agglomeration by molecular dynamic simulations. The modeling was done
for temperature 0,6-0,8 of melting point for nanoparticle Al, Ni, Au with size within the range
of 2-5 nm. We use of the many-body (EAM) potentials to realistic describe of the interatomic
interactions in considered metal particles. The atomic transformations during elementary
sintering step are studied by modeling of association by two disorientated interacting
nanoparticles. We investigated the stability of interparticle boundaries at long time aging
(with duration about few nanoseconds) for different disorientations of particles (low angle,
twin and some special type boundaries). The microscopic mechanism of the spontaneity
agglomeration was studied in details in dependence on temperature and disorientations of
particles. We show that size and size distribution of particles are important factors which
control the powder sintering.
260
BNM-2007, 17 August, Poster Session C Poster report
Electron Microscopy Analysis of Disclination Defects in Severe Deformed Metals
Volker Klemma,1, Peter Klimaneka,2, Anna L. Kolesnikovab,3, Magsud Masimova,4,
Michael Motylenkoa,5, Alexei E. Romanovc,6 a Institut fϋr Metallkunde, TU Bergakademie, Zeuner St. 5, D-09596 Freiberg, Germany
b Institute of Problems Of Mechanical Engineering,
61 Bolshoi Pr., Vas. Ostrov, St. Petersburg 199178, Russia c Ioffe Physico-Technical Institute,
26 Polythechnicheskaia St., St. Petersburg 194021, Russia 1 [email protected], 2 [email protected], 3 [email protected], 4 [email protected],
5 [email protected], 6 [email protected]
Plastic deformation of metals up to large strains leads to the formation of fine grain
microstructure with high density of grain boundaries, characteristic lattice rotations and
disclination defects at grain boundary junctions [1-3]. At present, the methods for disclination
identification in deformed metals are not as well developed as those for dislocations or
stacking faults in weakly deformed materials. Transmission electron microscopy (TEM)
images of disclinations have specific features [4] which can be only determined in the
framework of a specially designed experiment. Long-range elastic fields of disclination origin
may also give rise to the pronounced characteristic picture of bending fringes (BFs) near non-
compensated (i.e. disclinated) grain boundary junctions (Fig.1). Bending fringes are global
and good visible objects and their modifications can be easily documented experimentally.
The modeling of the run of BFs next to disclinations is the subject of this report. We have
applied two-beam Howie-Whelan (H-W) approach for the calculation of a compound TEM
contrast caused by disclination defects and a BF near them. To solve the problem we have
introduced a non-zero deviation term in H-W equations. This deviation term accounts for both
the distortions of disclinations and thin foil bending.
261
Our results clearly demonstrate that the TEM contrast of BF is strongly modified near
disclinations (Fig.2). Therefore the analysis of the BF run in the vicinity of various defects in
strongly deformed metals can be proposed as an effective tool for the identification of
disclinations in such structures.
[1] V.V. Rybin, Large plastic deformations and destruction of metals, Мetallurgia,
Moscow, 1986
[2] A.E. Romanov, V.I. Vladimirov, Disclinations in crystalline solids, in: F.R.N. Nabarro
(Ed), Dislocations in Solids, North-Holland, Amsterdam, 9 (1992) 191
[3] R.Z. Valiev, R.K. Islamgaliev, I.V. Alexandrov, Progr. Mater. Sci., 45 (2000) 103
Figure 1. TEM observation of BF distortion near possible disclination location. (a)-(d) consecutive images of the BF run in deformed alloy Cu-Zn (23%). Image size is 1.5x1.5 µm
Figure 2. Modeled TEM image of BF near a disclination dipole. Disclination strength ω=1o; foil thickness 200nm, extinction length ≈gξ 40.9nm.
Coordinates are in units of gξ
262
BNM-2007, 17 August, Poster Session C Poster report
A Study on Hard Cyclic Viscoplastic Deformation Behavior of Bulk UFG Metals Lembit Kommel
Tallinn University of Technology, Department of Materials Engineering
Ehitajate tee 5, 19086 Tallinn, Estonia [email protected]
The metallic materials with different initial microstructure states were tested by method of
hard cyclic viscoplastic (HCV) deformation [1, 2] with step-by-step strain amplitude
increasing by means of materials testing system INSTRON 8516 at room temperature. For all
test materials the strain-stress, time-strain and time-stress curves at strain amplitudes from
0.05% to 2.5% for 30 cycles were obtained, accordingly. As result of cyclic straining the
microstructure of metals was changed. These microstructural changes of specimens were
studied by means of field emission scanning electron microscope (FE SEM), atomic force
microscope (AFM), transmission electron microscope (TEM) and X-ray (XRD) investigation.
The before tested metals uniaxial stress behavior at high strain rates was studied at different
temperatures by Hopkinson techniques.
Our numerical HCV deformation test results suggest that the as received severe plastic
deformed (SPD) metals, after equal-channel angular pressing (ECAP) show cyclic softening
behavior at constant strain amplitude. By strain amplitude increase the stress amplitude was
increased too at very first cycles for each specimen. SPD-metals with UFG and NC
microstructures after heat treatment up to temperature, when their hardness took decrease,
shows at HCV deformation very stabile but lower strength properties. Their true stress at
break was increased up to 1600 MPa. Heat treated metals mainly shows at first cyclic
hardening behavior and after strain amplitude and cycles number significantly increase shows
cyclic softening behavior only. By this the preliminarily ECA pressed UFG metals strain
hardening behavior was higher. After numerical HCV deformation all metals show identical
values of stress amplitude, lower Young’s module etc. Therefore, this method can be used as
new SPD technique.
Our numerical results of microstructural investigation at different techniques show that ECAP
metals have mainly FG, UFG and NC microstructures. Structural behavior of metals subjected
to HCV deformation was studied and obtained results allow concluding that there is a
structural change on different stages of loading. The rates of grain refining or coalescence
depend on test conditions, first at all, on cycle’s number and strain amplitude. The
effectiveness of structural change is determined by grains boundaries orientation. Grains with
263
low angle boundary disorientation coalesce first at all. Before fracture at low cycle fatigue the
grain boundaries were merged and coalescenced slip bands were formed. In the necking
region at tension before fracture of HCV deformed specimens the grain size and true strength
were increased, proportionately. Such nanostructured materials exhibit the breakdown of
Hall-Petch behavior. Results, received by Hopkinson technique use at low temperatures (-
190°C) or higher strain rate (104s-1) shows higher strain rate sensitivity and resistance to
deformation. By X-ray investigation of tested materials before and after different testing
features was established, that microstructure, mechanical- and physical properties have good
correlations with level of interatomic interaction of metals.
[1] L. Kommel, in: Y.T. Zhu, T.G. Langdon, R.Z. Valiev, S.L. Semiatin, D.H. Shin, T.C.
Lowe (Eds.), TMS (2004) 571
[2] L. Kommel, R. Veinthal, Rev.Adv.Mater.Sci. 10 (2005) 442
264
BNM-2007, 17 August, Poster Session C Poster report
Formability of Nanocrystalline VT6 Titanium Alloy Sheet Alexey A. Kruglov1, Ramil Ya. Lutfullin2, Oleg A. Rudenko3 and Rinat V. Safiullin4
Institute for Metals Superplasticity Problems, 39 Khalturin St., Ufa 450001 Russia 1 [email protected], 2 [email protected], 3,4 [email protected]
Superplastic forming (SPF) is one of advanced methods for producing thin sheet parts.
However, the use of rather high processing temperatures especially for titanium alloys retards
its wide application. The effect of “low temperature superplasticity” [1] provides decreasing
forming temperature. The advantages attained in creation of nanocrystalline titanium alloys
including the opportunity to produce sheets of a commercial size provide wide prospects for
developing efficient SPF base methods [2].
Formability is an important
processing characteristic for
commercial application of
nanocrystalline sheets. The present
paper considers the SPF of
hemispherical and cylindrical
samples.
A sheet of VT6 (Ti-6Al-4V)
titanium alloy with a mean grain
size of 200 nm, 0.8 mm in thick,
was taken for investigations.
Forming was realized in a
cylindrical die, 70 mm in diameter
and 35 mm in depth. The die was equipped with a device for control of dome [2]. For
evaluating the formability of the sheet the forming time of hemisphere with the radius R=35
mm was taken into account. The forming time was measured as the time required for the sheet
to touch the die bottom. The formability has been investigated within a wide temperature
range from 500 to 800°C under constant pressure (Fig.1). The dome with height H=16 mm
was formed at the temperature 500°C for 60 min. Fig.2 shows the hemispherical sample
formed at the temperature 650°C.
For VT6 titanium alloy sheets with a mean grain size of 200 nm the temperature range 600-
650°C is recommended, since SPF carried out at these temperatures requires minimum time
Figure 1. Various forming time of hemisphere (R=35 mm) on temperature
0
5
10
15
20
25
30
550 600 650 700 750 800 Temperature (°C)
Form
ing
time
(min
.)
P-const
265
and creates conditions providing the absence of alpha case. Fig.3 shows cylindrical samples
formed at the temperature 650°C (left) and 600°C (right).
The obtained results show that the nanocrystalline grain size provides decreasing SPF process
temperature of titanium alloy sheets.
Figure 2. Hemispherical sample formed at the temperature 650° C
Figure 3. Cylindrical samples formed at the temperature 650° C (left) and 600° C (right)
[1] R.Z. Valiev, O.A. Kaibyshev, R.I. Kuznetsov, R.Sh. Musalimov, N.K. Tsenev, Doklady
AN SSSR, 301 (1988) 864 (in Russian)
[2] G.A. Salishchev, R.M. Galeyev, O.R. Valiakhmetov, R.V. Safiullin, R.Ya. Lutfullin,
O.N. Senkov, F.H. Froes, O.A. Kaibyshev, Materials Technology & Advanced
Performance Materials, 15 (2000) 133
[3] F.U. Enikeev, A.A. Kruglov, Int. J. Mech. Sci., 37 (1995) 473
266
BNM-2007, 17 August, Poster Session C Poster report
Mechanisms of Nanostructured States Formation in Austenitic Stainless Steels under Severe Plastic Deformation
Igor Yu. Litovchenkoa,1 , Natalia V. Shevchenkoa,2 , Alexander N. Tyumentseva,3 and
Alexander V. Korznikovb,4 a Institute of Strength Physics and Material Science SB RAS,
2/1 Akademicheskii Av., Tomsk 634021, Russia b Institute for metals superplasticity problems RAS, 39 Khalturin St., Ufa 450001, Russia
1 [email protected] , 2 [email protected] , 3 [email protected] , 4 [email protected]
A defective substructure of austenitic stainless steels after high pressure torsion in Bridgman's
anvils and cold rolling deformation was examined by transmission electron microscopy. It is
shown that the defective structure of steels was formed by the intersection of deformation
twins of one or more systems and strain localization bands with high-angle misorientation
boundaries. The particles of α and ε deformation martensite both inside the twinning structure
and strain localization bands were found. However, a small volume fraction of these phases
was not revealed by X-ray diffraction.
It is also shown that at the true logarithmic strain e> 3, a fragmented structure is observed
with the fragments being of submicrocrystalline and nanocrystalline scale. In this structure
high curvature-tensor components (up to χij ≈ 200 µm–1) of the crystal lattice and the
corresponding local internal stresses as high as σloc ≈ Е/30 (Е - Young’s modulus)
determined.
The presence of the magnetic α - phase at rolling deformation ε ≥ 60 % in the
02Cr17Ni14Mo2 stainless steel is verified by magnetic methods. The content of the α - phase
increases with deformation and amounts to ~ 0.5 % at the deformation ε = 99 %. The
formation of α- martensite correlates with that of strain localization bands with high-angle (θ
≈ 600<110>) reorientation. A concept of formation of strain localization bands and
deformation twins in austenitic steels due to the mechanism of local reversible
(fcc→bcc→fcc) transformations of martensitic type [1, 2] is discussed.
Based on the results obtained the mechanisms of formation of submicro- and nanocrystal
structural states at severe plastic deformation are discussed.
This work was partially supported by the Ministry of Education of the Russian Federation and
CRDF within the framework of program BRHE (project No. 016-02), grant of president of the
Russian Federation MK-7459.2006.8, grant of the RFBR No. 06-02-16312-a.
267
[1] A.N. Tyumentsev, I.Yu. Litovchenko, Yu.P. Pinzhin, etc. The Physics of Metals and
Metallography, 2 95 (2003) 86
[2] A.N. Tyumentsev, I.Yu. Litovchenko, Yu.P. Pinzhin, etc. The Physics of Metals and
Metallography, 3 95 (2003) 88
268
BNM-2007, 17 August, Poster Session C Poster report
Fracture of Bulk Ultrafine Grained Aluminum Alloys Processed by Severe Plastic Deformation
Michael V. Markusheva,1 and Maxim Yu. Murashkinb,2 a Institute for Metals Superplasticity Problems, Russian Academy of Sciences,
39 Khalturin St., Ufa 450001, Russia b Institute of Physics of Advanced Materials, Ufa State Aviation Technical University,
12 K.Marx St., Ufa 450000, Russia 1 [email protected], 2 [email protected]
The features of room temperature failure in 20mm plates of commercial aluminum alloys
1560 (Al-6.5Mg-0.6Mn) and 5083 (Al-4.4Mg-0.7Mn-0.15Cr) with fragmented and grained
submicrocrystalline (SMC) (d~0.4-0.5µm) and microcrystalline (MC) (d~5-8µm) structures
processed by severe plastic deformation (SPD) via complex angular extrusion and following
annealing are considered.
The analysis of pre-polished surfaces of tensile specimens has shown that irrespective the
alloys microstructure the fracture starts by microcracks opening in coarse primary particles of
excess phases and their penetration into the aluminum matrix. At strain increase the new
cracks are formed predominantly by particles brittle failure and the occurrence of these
processes is more intense in the SMC alloys (Fig.
1).
It has been revealed that less resistance to cracks
formation in submicrocrystalline structures is
attributed to earlier and stronger localization of
plastic deformation in aluminum matrix which is
accompanied by formation of coarse shear bands
passing through hundreds of grains. Concurrently
with the development of such a band structure
homogeneous initiation of cracks at grain
boundaries and in triple junctions occurs. As for
the MC alloys, the conditions for stress cracks
formation are realized at later stages of plastic deformation (at higher strains) in short
individual slip lines compatible with their grain size.
The data on qualitative analysis of the path of macrocrack growth and quantitative estimation
of energy expenditures spent on formation of free fracture surfaces (via surface area) and
plastic deformation at the crack tip (via size of plastic deformation zone (PDZ)) under
Figure 1. Microcrack density vs tensile strain of the 1560 alloy
Степень деформации, %0 2 4 6 8 10 12 14 16
Плотность
микротрещ
ин, м
м-2
0
200
400
600
800
1000
аб
Плотность трещин в сплаведо растяжения
SMCМC
Strain, %
Mic
rocr
ack
dens
ity, m
m-2
After SPD
269
bending tests are shown and discussed. In particular, it has been established that
transformation of the fragmented SMC structure into the MC grained one due to post-SPD
annealing leads to the change in the character of failure from brittle intercrystalline to ductile
transcrystalline one. This is accompanied by the deviation of the crack from the normal to the
axis of applied tensile stresses and the increase in crack surface area.
It has been concluded that the main factor determining the resistance to crack growth in SMC
and MC alloys is the size of PDZ at the crack tip. The dependences of PDZ size and crack
resistance parameters on structure of the alloys matrix are similar: the PDZ size and the
specific works of the alloys failure and crack growth are smallest in the SMC fragmented
materials, while in the MC alloys they
are largest (Fig. 2).
Besides, the fracture character essentially
depends on the observed distinction in
the changes of the alloys phase
composition upon annealing. Thus,
unlike 1560, the formation of SMC grain
structure in 5083 alloy upon low
temperature post-SPD annealing was
accompanied by the dissolution of
second β-phase (Al3Mg2) precipitates
formed at deformation processing and
the proportional increase in the PDZ size
and SMC alloy resistance to crack
growth which values become close to the ones apt to the alloy with MC structure.
Figure 2. Specific work for specimen failure and crack growth vs the size of plastic deformation zone at the crack tip in the 1560 alloy
050
100150200250300350400
2 3 4 5 6 7
PDZ size, mm
Spec
ific
wor
k, k
J/m
2
Роста трещины
РазрушенияММCC
SSMMCC
Crack growth Fracture
270
BNM-2007, 17 August, Poster Session C Poster report
Pressure Welding of VT6 Titanium Alloy under Conditions of Low Temperature Superplasticity
Minnaul Kh. Mukhametrakhimov, Ramil Y. Lutfullin and Amir K. Galimov Institute for Metals Superplasticity Problems, RAS, 39 Khalturin St., Ufa 450000, Russia
The essential role of deformation processes occurring at pressure welding under conditions of
“low temperature superplasticity” arises urgent necessity in thorough analysis of the strain-
stress state in the zone of joining.
Conditions of low temperature
pressure welding have been modeled
using FE-code ANSYS 5.7.
The goal of investigations was to
optimize the neck geometry and
parameters of the strain-stress state of
contacting processed sheets for
analyzing processing and reducing
sound composition to components of
one-axial interaction. Such an
approach allows performing controlled
deformation in the zone of welded
joint and provides optimal
(appropriate) temperature-strain rate
conditions of deformation under
relatively low pressure.
Unlike the sample with the constant cross section area the sample with the alternating area is
distinguished by the at once occurrence of local deformation since the laws of its development
are different in these samples. Thus, varying the sample shape one can control the time of
neck occurrence and change the laws of its development. At that the basic deformation is
localized in the zone of joint providing the best weldability of the construction. Imparting a
cylindrical shape to the welded sample with a less cross section area promotes steady
localization of plastic flow.
Figure 1. Normal stress in the sample with the constant cross section area and marked near-contact zone
271
a b Figure 2. Micrographs of the solid state joint for the VT6 alloy after pressure welding at 600 (а) and 650оС (b)
under condition s of low temperature superplasticity
Using the results of modeling a full-scale experiment was carried out. The experiment on
pressure welding of bulk samples of nanocrystalline titanium alloy VT6 at 600oC was aimed
to produce a joint having a tensile strength above 1150 MPa at room temperature.
One of the most important processing aspects is application of nano- and submicrocrystalline
alloys as sheet inserts for solid state joining of large-scale bulk semi-products. The decreased
flow stress of the NC material of the insert under similar temperature conditions provides
localization of superplastic deformation in the zone of joining. Moreover, the processed
mechanical properties of the zone of joining are similar to the ones of the welded semi-
products.
0
200
400
600
800
1000
1200
0 2 4 6 8 10 12 14 16 18 20
Степень деформации, %
Напряжения
течения
, МПа
- а) - б)
а b c
Figure 3. Micrographs of solid state joint (а;b) and mechanical properties of VT6 alloy (c) after pressure welding at 650оС using sheet inserts of nanocrystalline (a) and submicrocrystalline VT6 alloy (b).
The application of nanocrystalline and submicrocrystalline sheet inserts provides sound solid
state joining at lower temperature (T) and welding pressure (P) as compared to traditional
superplasticity. The obtained result is of practical importance for machine building and open
premises for developing recourse saving processing methods applying nanocrystalline
materials.
272
BNM-2007, 17 August, Poster Session C Poster report
Processing and Mechanical Properties of Bulk Nanostructured Nickel-Based Alloys
Shamil Mukhtarova,1, Nadezhda Dudovaa,2 and Vener Valitova,3 a Institute of Metals Superplasticity Problems RAS, 39 Khalturin St., Ufa 450001, Russia
1 [email protected], 2 [email protected], 3 [email protected]
The present paper deals with investigation of nanostructured nickel base alloys processed by
severe plastic deformation via multiple forging and high pressure torsion. The nanostructured
nickel base alloys - single-phase Ni-20%Cr and precipitation hardened Inconel 718 with a
mean grain size of 50-80 nm have been studied in terms of their thermal stability and
mechanical properties.
The nanocrystalline (NC) structure is characterized by high internal stress (relative
microdeformation about 0.33% of Ni-20%Cr) and microhardness being higher than the
microhardness of coarse-grained alloy (by a factor of 4 and 2, correspondingly, for Ni-20%Cr
and Inconel 718). The strongly nonequilibrium state of NC structure is responsible for
microstructure changes upon heating. It was established, that the NC structure of the Ni-
20%Cr alloy can be considered as thermally stable to 500oC (0.46Tm), which is lower than the
temperature threshold for the retention of this structure in the Inconel 718 (580oC = 0.5Tm)
[1]. Annealing of the alloys under study up to these temperatures results in occurrence of
recovery processes, which in turn results in a decrease in internal stresses, which is
accompanied by the decrease in the microhardness and the relative microdeformation. But in
the Ni-20%Cr alloy the anomalous increase in the microhardness (5.2-5.4 GPa) observed at
annealing temperatures of 400—500oC is probably connected with a short-range ordering in
the structure at these temperatures.
The increase in the annealing temperature of investigating alloys to 600oC causes static
recrystallization and transformation the NC structure to the submicrocrystalline (SMC) one.
It has been established that, alloy Inconel 718 with NC structure displays features of low
temperature superplasticity at 600°C and strain rate 1.5⋅10-4s-1. A value of relative elongation
is 350% and the strain rate sensitivity coefficient m is 0.37. The specific feature of NC
structure is more uniform strain distribution as compared a coarse-grained structure.
[1] V.A. Valitov, Sh.Kh. Mukhtarov, Yu.A. Raskulova, The Physics of Metals and
Metallography, 1 102 (2006) 97
273
BNM-2007, 17 August, Poster Session C Poster report
Vacancies in the Stress Fields of Disclinations: Relation to Bulk Nanomaterials Ramil T. Murzaev1 and Ayrat A. Nazarov 2
Ufa State Aviation Technical University, 12 K. Marx St., Ufa 450000, Russia 1 [email protected], 2 [email protected]
At present the mechanisms of grain boundary (GB) diffusion in nanostructured metals is one
of the least understood phenomena. Some experimental data indicate on a many orders of
magnitude enhancement of the GB diffusion coefficient in bulk nanomaterials as compared to
that in ordinary polycrystals, while others shown only an insignificant increase. Theoretical
analyses available in literature are mainly of a phenomenological character and do not provide
a sufficiently clear insight into the problem.
Atomistic computer simulation of grain boundaries and their junctions is an important tool for
elucidating the mechanisms and kinetics of diffusion in nanomaterials. In particular, an
information obtained on the energetics of point defects in GBs and their dependence on the
GB structure is very useful for an approximate comparison of the GB diffusion coefficients in
equilibrium and nonequilibrium GBs. Recently the authors have studied vacancy formation
and migration energies in special [001] tilt GBs in Ni containing extrinsic GB dislocations
and disclinations [1-3]. However, most of the GBs in real nanomaterials have a general
character and study of the properties of vacancies in such GBs seems very important.
The present paper is devoted to a computation and analysis of the vacancy formation energies
in a general twist GB in Ni containing a positive or negative wedge disclination with the
strengths equal to ω=-5.0° and ω=5.0°, respectively. The GB has a plane (310) and twist
misorientation angle 76.7°. The zero-temperature relaxation resulted in a fairly wide (7 Å) GB
region with an amorphous atomic structure. For this thickness, one period of the GB contains
269 atoms. By a successive removal of each of these atoms followed by relaxation, vacancy
formation energy on each site was calculated for this equilibrium GB. By a removal or
insertion of a wedge of material into one half of the GB positive and negative wedge
disclinations were created in the GB. The displacement fields of the disclinations were
calculated for a cylinder with radius R=100 nm in order to catch the influence of disclinations
on vacancy energies in bulk nanomaterials with the grain size of the same order. Then the
vacancy energies on all 269 sites were calculated for the GB periods lying on distances of 5.4,
9.0, and 12.6 nm from the disclination line.
274
The results show that the GB vacancy
energies have a bimodal distribution
(see, for example, the figure). In the
equilibrium GB the first peak is at 0.18
eV and the other at 1.33 eV (the lattice
vacancy energy is equal to 1.63 eV for
the embedded atom method used). The
stresses of a negative disclination result
in a 0.15 eV shift of the low-energy peak
to the left, while those of the positive disclination result in an opposite shift to the same value.
The vacancy formation energy averaged over all 269 positions is equal to 0.84 eV in the
equilibrium GB, 1.00 eV in the GB with negative disclination and 0.65 eV in the one with
positive disclination. Thus, the disclination stress fields can result in a significant, up to 0.2
eV change of the vacancy formation energies in general GBs.
[1] R. T. Murzaev and A. A. Nazarov, Phys.Metals Metallogr., 100 3 (2005) 228
[2] R. T. Murzaev and A. A. Nazarov, Phys.Metals Metallogr., 101 1 (2006) 86
[3] R. T. Murzaev and A. A. Nazarov, Phys.Metals Metallogr., 102 2 (2006) 198
Figure 1. The distribution of vacancy formation energies in an equilibrium (310) twist GB in Ni
275
BNM-2007, 17 August, Poster Session C Poster report
Diffusion-Controlled True Grain-Boundary Sliding in Nanostructered Metals and Alloys
Evgeny F. Dudareva,1, Galina P. Pochivalovaa, Yury R. Kolobov b,
Evgeny V. Naidenkinc and Oleg A. Kashinc a Siberian physical technical institute TSU, 1 Novosobornaya Sq., Tomsk 634050, Russia b Center for NanoStructured Materials and Nanotechnologies, Belgorod State University,
85 Pobeda St., Belgorod 308015, Russia c Institute of strength physics and materials science SB RAS,
2/1 Akademicheskii Pr., Tomsk 634021, Russia 1 [email protected]
One of the physically independent initial mechanisms of unelastic deformation of
polycrystalline metals and alloys is true grain boundary (GB) sliding controlled by diffusion
along GB. As a result of such unelastic deformation the appearance of grain boundary internal
friction is observed. Taking into account the above mentioned the internal friction method is
used in the present work to investigate of true grain boundary sliding in nanostructured metals
and alloys produced by severe plastic deformation. On the example of pure Ti, Al and
different alloys based on the metals it has been established that grain structure refinement by
means of severe plastic deformation down to nanoscale sizes results in displacement of grain
boundary internal friction peak to the range of lower temperatures. The data show the
decrease of temperature of onset and development of true grain boundary sliding as a result of
change of GB state from equilibrium in coarse grained materials to non-equilibrium in
nanostructured materials.
The activation energy Q of true GB sliding determined by rising branch of grain boundary
peak of the internal friction is reduced with a transition from coarse-grained structure to
nanostructure. The decrease of Q depends on increase of energy of non-equilibrium grain
boundaries. The value of activation energy of true grain boundary sliding is higher then
corresponding values for activation energies of GB diffusion for coarse-grained structure as
well as for nanostructure. At the same time the Q value is lower then activation energies of
volume diffusion in the both states. The influence of structure of high angle random grain
boundaries on true grain boundary sliding and activation energy of the process is arise from
diffusion model where true GB sliding considered as thermo-activated process obeyed by the
micro-mechanism like GB diffusion. The external stress results only in transition from
random transference of vacancies to their directional movement. It will be accompanied by
mutual displacement of adjacent grains in the case of rebuilding of GB’s resulting in decrease
276
of boundary energy by diffusional mass transfer between boundary and grain volume. In
consequence of that the activation energy for true grain boundary sliding must exceed the
corresponding value of activation energy of GB diffusion but still less than activation energy
of volume diffusion.
277
BNM-2007, 17 August, Poster Session C Poster report
The Model of Anomalous Grain Growth in Submicrocrystalline Metalls and Alloys Produced by Severe Plastic Deformation
Vladimir Perevezentseva,1, Alexander Pupynina,2 a Blagonravov Institute of mechanical engineering RAS, Nizhny Novgorod Branch, 85 Belinskiy St.,
Nizhny Novgorod 603025, Russia 1 [email protected] , 2 [email protected]
As it is known [1-2] that anomalous grain growth often observed in submicrocristalline
(SMC) materials produced by severe plastic deformation method. During short time annealing
grains whose size essentially exceeds this one of “matrix” grains appear in the structure of
material. Fraction of these grains depends on annealing temperature and time and it varis from
zero to 100%. Therefore, it is possible, using short time annealing, purposely create bimodal
structure in SMC materials with necessary ratio of fine and coarse grains and, thus, to
influence strength and plastic properties of material. The model to describe anomalous grain
growth in SMC materials is developed. It is based on the concept of grain growth boundaries
transfer into nonequilibrium state [3] according to generation of nonequilibrium vacancies
during sweeping of adjacent grain boundaries (GB) by migrating GB. Kinetics of
nonequilibrium GB migration and anomalous grain growth in SMC copper containing
disperse particles of second phase during annealing at the temperature T=0.4Tm, different
initial values of grain size deviations d∆ from grain size of “matrix” (d = 0.25 mkm),
dislocation densities in GB boρ and volume fractions of second phase fv are numerically
analyzed (Fig.1). It is shown that increase of d∆ , fv and decrease of boρ lead to decrease of
incubation period of anomalous grain growth (Fig.2).
[1] J. Lian, R.Z. Valiev, B. Baudelet, Acta Metal. Mater., 43 (1995) 4165
[2] N.M. Amirkhanov, R.K. Islamgaliev, R.Z. Valiev, Phys. Met. Metallogr., 86 (1998) 296
[3] V.N. Perevezentsev, Phys. Met. Metallogr., 93 (2002) 207
278
0 1 2 3 4
4
8
12
160d
d
1
2
3
4
210t ⋅ , s
Figure 1. The kinetics of anomalous grain growth at different volume fraction of disperse particles: (1) – fv = 0; (2) – fv = 0.005; (3) – fv = 0.01, (4) – fv = 0.025 at d∆ /do=0.5; boρ b=2.5⋅10-3; Rp=50nm, where
Rp – disperse particle size
a
b
Fig.2. The dependence of incubation period tL on the deviation value d∆ at tbo b∆ρ =2.56⋅10-3 (a) and initial
dislocation density boρ (b) at different values of volume fraction of disperse particles fv:
(1) – fv = 0; (2) – fv = 0.005; (3) – fv = 0.0125; (4) – fv = 0.025; d∆ /do=0.5
0 0.5 1 1.5 2 2.5
4
6
8 s,10t 2L ⋅
1 2
3
4
20b 10b −⋅ρ
0 0.2 0.4 0.6 0.8 1
0.4
0.8
1.2
1.6
0dd∆
s,10t 3L ⋅
1
2 3
4
279
BNM-2007, 17 August, Poster Session C Poster report
Ultra Grain Refinement of High Purity and Particle Containing Aluminum Alloys by Accumulative Roll Bonding
Abbas Akbarzadeh1 and Hadi Pirgazi2 Sharif University of Technology, Department of Materials Science and Engineering,
Azadi Ave., P.O. Box 11365- 9466, Tehran, Iran 1 [email protected], 2 [email protected]
Abstract: In the present study, accumulative roll bonding (ARB) as a severe plastic
deformation (SPD) method was carried out on commercial pure aluminum (AA1100) and a
particle containing alloy (AA3003). Electron back-scattered diffraction (EBSD) technique
was utilized to investigate the effects of second phase particles on microstructural and
microtextural evolution in the ARBed sheets. The results indicate that the development of a
strong texture during the ARB process leads to
unrefined bands in AA1100 alloy and transition of
microstructure to a submicron grain structure occurs at
final stages of the process (Fig. 1(a)). It was also
found that large lattice rotation around the second
phase particles in AA3003 alloy leads to the increase
of local misorientation and production of new high
angle grain boundaries. The presence of these
particles prevents developing a strong texture and
improves the grain refinement during the process.
This results in a more homogenous microstructure of
ultra-fine grains in AA3003 alloy (Fig. 1(b)). By
reducing the grain size in both alloys, the hardness of
the sheets increased more than 2 times of the initial
values. The hardness data held Hall-Petch relationship and were in a good conformity with
the microstructural changes.
Keywords: accumulative roll bonding, ultrafine grains, aluminum sheets, second phase
particles, texture and microstructure evolution
Figure 1. The orientation scans of the samples processed by 6 ARB cycles. (a) AA1100 and (b) AA3003
280
BNM-2007, 17 August, Poster Session C Poster report
Mechanical Behavior of Nanostructured Ti6Al4V ELI Alloy under Tension and Compression at 4.2, 77 and 300 K
Elena D. Tabachnikovaa,1, Aleksey V. Podolskiya,2, Vladimir Z. Bengusa,3,
Sergey N. Smirnova,4, Kornel Csachb,5, Jozef Miskufb,6, Lilia R. Saitovac,7 and
Irina P. Semenovac,8 a B. Verkin Institute for Low Temperature Physics & Engineering,
47 Lenin Av., Kharkov 61103, Ukraine b Institute of Experimental Physics, SAS, 47 Watsonova St. , Kosice, 04353, Slovakia
c Ufa State Aviation Technical University, 12 K. Marx St., Ufa 450000, Russia 1 [email protected], 2 [email protected], 3 [email protected],
4 [email protected], 5 [email protected], 6 [email protected], 7 [email protected], 8 [email protected]
Comparison of mechanical characteristics and failure peculiarities of Ti-6Al-4V ELI alloy at
300, 77 and 4.2 К under uniaxial compression and tension in the different structural sates [1]
was done. In the initial coarse grained state 1, average grain size (d) of α-phase is 10-25 µm.
Ultra-fine grained state 2 was produced from the state 1 through equal channel angular
pressing (ECAP) and has d value of ~ 0.5 – 1 µm. State 3 was obtained from the state 1 by the
thermal treatment, ECAP and an extrusion; average size d of α-graines is from 200 nm to
400 nm. Mechanical characteristics were investigated with a stiff testing machine, at strain
rate 5⋅10-4 s-1 , at 300, 77 and 4.2 K. Specimens for compression had a rectangular shape
(2×2×7 mm), and specimens for tension have dog-bone shape with the 5.5 mm gage length
and a square cross section of 0.75 × 2.4 mm2.
It is established that reducing of the grain size from the state 1 (d~ 10-25 µm) to the state 2 (d
~ 0.5 – 1 µm) leads to increasing of the yield stress σ0 and strength σf up to 50 % in the entire
temperature interval, moreover σ0 and σf values at the compression exceed corresponding
values under tension. Further decrease of the grains size (state 3) down to 200 nm - 400 nm
results in the additional increment of σ0 and σf for 25% in comparison with state 2.
In states 2 and 3 ductility of the material is about 3 – 4 % at 300 and 77 К. Fracture at 4.2 К
took place without macroscopic plastic deformation under σ~ 1.5-1.6 GPа, that corresponds to
the yield stress in the initial state at 4.2 К. Observed differences in the strength and ductility
characteristics of the Ti-6Al-4V ELI alloy, apparently, dependent on additional barriers for
dislocations motion in the 2 and 3 states: these are twins colonies (state 2) and additional
grain boundaries, which number increases essentially in the ultrafinegrained state 3 and (in a
lesser degree) in the state 2. Values of activation volume V for dislocations motion, obtained
from a stress relaxation data, are practically independent on the alloy structural state. Thus, at
281
the yield stress at 300 K and 77 К V ≈ 3.5x10-28 m3 and V ≈ 0.9x10-28 m3, correspondingly.
SEM fractographic analysis of the fracture surfaces of the ultrafinegrained Ti-6Al4V ELI
specimens shows that at 300, 77 and 4.2 К ductile failure takes place at the microscale.
[1] I. P. Semenova, L. R. Saitova, G. I. Raab, A. I. Korshunov, Y. T. Zhu, T. C. Lowe, R.Z.
Valiev, Material Science Forum, 503-504 (2006) 757
282
BNM-2007, 17 August, Poster Session C Poster report
Severely Cold-Rolled and Annealed Ti-Ni Shape Memory Alloys: Structure, Transformations and Functional Properties
Sergey Prokoshkina,1, Vladimir Brailovskib,2, Karine Inaekyana, Vincent Demersb,
Irina Khmelevskayaa, Sergey Dobatkinc and Evgeniy Tatyanind
a Moscow State Institute of Steel and Alloys, 4 Leninskiy Pr., Moscow 119049 Russia b Ecole de Technologie Superieure, 1100 Notre-Dame Ouest, Montreal (Quebec) H3C 1K3, Canada
c Baikov Institute of Metallurgy and Material Science of RAS, 49 Leninskiy Pr., Moscow 119049 Russia d Institute for High Pressure Physics of RAS, Troitsk, Russia
1 [email protected], 2 [email protected]
Ti-Ni shape memory alloys (SMA) subjected to low-temperature thermomechanical treatment
(LTMT) by cold rolling with true strains encompassing moderate (e=0.30) and severe (e=1.5-
2.1) deformations were studied using TEM, DSC, microhardness tests at room temperature,
mechanical tests, and functional properties determination. Post-deformation annealing (PDA)
allows obtaining the following structures in a deformed material: recovered and polygonized
dislocation substructures (after LTMT with moderate strain) or nanocrystalline structure of
austenite (after LTMT with severe plastic deformation).
The best combination of mechanical properties (critical stresses for B2(R)→B19’
transformation or reorientation of B19’-martensite, σtr, yield stress of B19’-martensite or B2-
austenite, σy) and functional properties (maximum recovery stress, σrmax, and completely
recoverable strain, εr,1max) was obtained for the nanocrystalline structure (50-100 nm) as
compared to polygonized dislocation substructure with the same size of grains and subgrains
(Table 1). The maximum completely recoverable strain obtained after tensile deformation is about 6%
for Ti-50.0%Ni alloy and 7% for Ti-50.7%Ni alloy, both nanocrystalline. The maximum
recovery stress value obtained for both nanocrystalline Ti-50.0%Ni and Ti-50.6%Ni alloys is
about 1400 MPa. To all appearances, 1400 MPa is the higher limit or recovery stress value for
binary Ti-Ni alloys.
Knowledge of time-stability of as-deformed structure and also nanocrystalline structure
obtained after post-deformation annealing will be useful for practical application. Using DSC
method allows simple estimating the amorphous phase fraction and predicting the properties
of the alloys.
This work was carried out under partial financial support of the Federal Research and
Development Program “Development of Scientific Potential of the Higher School” from the
283
Ministry of Education and Science of Russian Federation and Natural Science and
Engineering Research Council of Canada.
1)Ti-50.6%Ni alloy subjected to e=1.5+773K; 2)Ti-50.6%Ni alloy subjected to e=1.9+723K; 3)Ti-50.6%Ni alloy
subjected to e=1.5+673K
Table 1 - σyM and σtr values (at -18 °C), σr
max and �r,1max obtained after various thermomechanical treatments
Alloy LTMT
strain, e
PDA
temperature, K
Structure σtr,
MPa
σyM,
MPa
σyM-
σtr,
MPa
σrmax ,
MPa
�r,1max,
%
973 Recrystallized 190 620 430 490 2.2
673 180 1100 920 890 5.4
0.3
623 Polygonized
180 1300 1120 910 4.4
973 Recrystallized 200 580 380 460 2
Ti-
50.0%Ni
1.9
673 Nanocrystalline 140 1600 1460 1420 6.2
973 Recrystallized 120 540 420 470 4 0.3
673 Polygonized 110 1100 990 820 5.4
973 Recrystallized 130 560 430 - -
773 Nanocrystalline 100 1260 1160 8501) 7.2
723 220 1570 1350 13802) 5.9
Ti-
50.7%Ni
1.7
673 Nanocrystalline
290 1880 1590 10203) 4.1
284
BNM-2007, 17 August, Poster Session C Poster report
Effect of Severe Plastic Formation on Tensile Properties and Impact Toughness of a Zinc-Based (Zn-40wt.%Al) Alloy
Gencaga Purceka,1, Onur Saraya,2, Ibrahim Karamanb,3 and
Tevfik Kucukomeroglua,4
a Department of Mechanical Engineering, Karadeniz Technical University,
61080-Trabzon, Turkey b Department of Mechanical engineering, Texas A&M University,
College Station, TX 77843-3123, US 1 [email protected], 2 [email protected], 3 [email protected], 4 [email protected]
In recent years, Zn-Al alloys have emerged as a potential cost- and energy-effective, and
environmentally friendly system for substituting several ferrous and non-ferrous alloys in
various engineering applications. However, their low strength, very poor ductility and low
impact toughness limit the use of these alloys. Some traditional methods like alloying, heat
treatment and composite forming have been used; however, the resulting improvements in
these properties have not been satisfactory. In this study, the effect of equal-channel angular
extrusion (ECAE) processing at 130°C on tensile properties and impact toughness of two-
phase Zn-40Al alloy were investigated for up to four passes via route BC in order to improve
their inferior properties. Fracture behaviors of processed and un-processed alloy after tensile
and impact tests were also examined. As a result of multi-pass ECAE, elongation to failure
increased significantly with increasing the number of ECAE passes as shown in Fig.1(a). The
sample extruded 4 passes exhibited 88% elongation to failure at room temperature, which
were 13 times higher than that of the as-cast alloy. The ECAE also increased the strength of
the alloy after one pass, however, higher number of passes led to drop in the strength
(Fig.1(a)). Moreover, the impact toughness of the alloy was improved by multi-pass ECAE
due to the increased ductility as well as smaller fracture dimples as shown in Fig.1(b). By
means of multi-pass ECAE, Zn-40Al casting alloy having brittle fracture behavior were
transformed into the tougher alloy having typically ductile fracture behavior as shown in
Fig.2. These results indicate that the multi-pass ECAE is effective in improving the tensile
elongation and impact toughness of binary Zn-Al alloys.
285
Number of passes0 1 2 4
Stre
ngth
(MP
a)
100
150
200
250
300
350
Elo
ngat
ion
to fa
ilure
(%)
20
40
60
80
100
Tensile strengthYield strengthElongation to failure
Number of passes0 1 2 3 4
Impa
ct to
ughn
ess
(kg.
cm/c
m2 )
40
60
80
100
120
140
a b
Figure 1. The effect of multipass-ECAE on (a) strength and elongation to failure, and (b) impact toughness of Zn-40Al alloy
Figure 2. Appearance of the failed tensile specimens and their fractured surfaces. a) As-cast (0 P), b) one pass
(1 P), c) two passes (2 P) and d) four passes (4 P)
286
BNM-2007, 17 August, Poster Session C Poster report
Dissipation and Deposition Discontinuous Harden Particles in Cu-1Cr-0.7Al-0.2Zr Alloy by ECAP
Svetlana N. Faizova1, Vladimir V. Latysh2, Valery N. Danilenko4, Elena A.
Sarkeeva3,a and Irek V. Kandarov2 1 Instititute of Mechanics, Ufa Science Center, Russian Academy of Sciences,
71 Oktyabr Pr., Ufa 450001 Russia 2 Designing Technological Bureau “Iskra”, 81 Pushkin St., Ufa 450000 Russia 3 Ufa State Aviation Technical University, 12 K. Marx St., Ufa 450000 Russia
4 Institute for Metals Superplasticity Problems, 39 Khalturin St., Ufa 450001 Russia a [email protected]
Chromium bronzes are a special class of high-copper alloys combining in their properties high
electrical conductivity with high strength what makes them attractive for many industrial
applications. Chromium bronzes of the Cu-Cr-Zr system are the precipitation hardening
alloys. The optimal composition of physical and mechanical properties for these materials
may be reached through the specific combination of mechanical and thermal treatments.
Using the severe plastic deformation (SPD) methods, particularly the multi-pass equal
channel angular pressing (ECAP), with the appropriate thermal treatment it is possible to
significantly increase the strength of the materials while preserving the high electrical
conductivity.
In the present work the influence of the solid solution treatment and the SPD parameters on
the dissolution and precipitation of alloying elements in Cu-1%Cr-0.7%Zr alloy has been
studied. The chemical composition, the morphology and the size distribution of the
precipitation particles have been studied using the extraction replicas technique.
The solid solution treatment of the commercial alloy samples was carried out at 1050°C for 5
and 10 hours. It has been found that the degree of dissolution and, correspondingly, the size
distribution of the remaining particles are different for these treatment durations. The size
distribution of the particles had the bi-modal form. The microhardness values were 510 MPa
and 670 MPa for 5 and 10 hrs, correspondingly, what well correlated with structural
differences.
The analysis of the structural changes demonstrated that the SPD (8 passes of the ECAP along
the Bc route) activates the diffusion what results in the stain-induced decay of the solid
solution prepared at the previous stage. The average size of the remaining particles
significantly decreased and became approximately equal for both treatment times. This result
287
may also be considered as the evidence for the strain-induced diffusion enhancement during
the SPD.
The ECAP resulted in the structure refining of the material to the sub-micrometer scale. The
microhardness values after the SPD were 1670 MPa and 1670MPa for 5 and 10 hrs,
correspondingly.
This work was supported by RFBR grant (projects No. 06-08-00971, 07-08-00567-а).
288
BNM-2007, 17 August, Poster Session C Poster report
Bulk Nanostructured Materials: Pathways for Commercialization Andrey Shcherbakova,1
a Institute of Physics of Advanced Materials, Ufa State Aviation Technical University, 12 K. Marx St., Ufa 450000 Russia
Nanostructured materials are a new class of materials with unique consumer’s properties. As
far back as yesterday only products from organic chemistry and pharmaceutics were presented
in the market. Today the market is enriched with composites, textiles and powders, including
powder metallurgy and coatings. Tomorrow the market will see bulk nanostructured materials
(BNM) and ultrafine-grained materials (UFG) materials and engineering structures from
them. One of the steps into the tomorrow market can be made through processing BNM and
UFG materials by severe plastic deformation (SPD) techniques. A promising sector for these
materials in the industrial market is estimated at several billion dollars. Transport,
engineering, sports industry, industries of tourism and recreation, medicine constitute the
market.
Specialists from IPAM in close cooperation with Russian and foreign partners have been
working on processing BNM by SPD techniques over 10 years. Work on commercialization
of the technologies developed by them is performed. With the help of these technologies
semi-products and pilot samples for medicine, sports and engineering were manufactured.
Today work on launching the industrial production of semi-products and items from BNM is
conducted.
289
BNM-2007, 17 August, Poster Session C Poster report
The Nanocrystalline Material LitAr and the Compositions Diagram of the System Collagen– CaO – P205 – H2O
Andrei I. Sechnoya,1, Tatyana V. Sudakovab,2 Sergey D. Litvinovb,2 a Samara State Aerospace University, 34 Moscow Highway, Samara 443086, Russia
b Samara State Technical University, 244 Molodogvardejskaya St., Samara 443100, Russia 1 [email protected] , 2 [email protected]
For the purpose of evaluating the strategy of creating the implant materials it is advantageous
to investigate the topological rules of
the compositions diagrams. The
investigation of this kind lies in the
fact that the composition of the
complex compounds is at the
intersection of the secants connecting
the binary phases tops in the
compositions polyhedron as it was
made for the multicomponent system
of Collagen– CaO – P205 – H2O
(Fig.1). This fact has made it
possible to reveal the identification
region of the nanocrystalline
compound material LitAr used for
filling the defects of the bone and parenchymatous tissues [1].
This compound material is a high integrated system of collagen fibers with nanocrystalline
hydroxyapatite. The problem of conformity of the present material with the native bone has
been successfully solved with the help of analyzing the diagram on which the composition
region (hydroxyapatite HA, enamel, LitAr, bone, blood cell, blood) (Fig.2) has been
distinguished.
The condition which determines the biological activity of the material is nanometricity (Fig.3)
of its salt component [2]. This fact ensures universality of the material stimulating the
patient`s stem cells [3].
CaO
Collagen
HA
P O2 5
H O2
H P O4 2 7
H PO3 4
HPO3
H[P O ]3 81:3
2:13:1
1:1
mol.%
HA region
5:1 10:31:1
Ca(OH)2
1:1
HA
Са5[P O ]2 10Ca(PO )3 2
Ca P O2 2 7
2:1
Са10 6 25[P O ]Ca (PO )3 4 2
3:1
Figure 1. The diagram of the compositions of the 4-component system Collagen – CaO – P205 – H2O
290
The application of the topological choosing
criterions will make it possible to determine the
promising region of synthesis of the new
nanometric compound materials of the medical
purpose.
[1] S.D. Litvinov, I.I. Markov, M.M.
Olennikova, Biomaterialien, 3 7 (2006) 186
[2] S.D. Litvinov, T.V. Sudakova, A.S.
Seryogin. Book of Abstracts of Topical
Meeting of the European Ceramic Society
"Structural Chemistry of Partially Ordered
Systems, Nanoparticles and
Nanocomposites". Saint-Petersburg, Russia
(2006) 162
[3] S.D. Litvinov, I.I. Markov, T.V. Sudakova.
Proceedings of International Conference
“Chemistry, Chemical Engineering and
Biotechnology”. Tomsk: TPU, 2 (2006)
395
HA
H O2
enamel
bone
plasma
bloodcell
LitAr
Figure 2. The compositions plane
Figure 3. The hydroxyapatite nanocrystals in the material LitAr
291
BNM-2007, 17 August, Poster Session C Poster report
Modeling of Isothermal Forging of Compressor Blade Made of Nanostructured Ti-6Al-4V Alloy
Alexander V. Botkina,1, Azat F. Shayahmetova,2, Alexander A. Kuzminyha,3 a Institute of Physics of Advanced materials and Nanotechnology Department, Ufa State Aviation
Technical University, 12 K. Marx St., Ufa 450000, Russia 1 [email protected], 2 [email protected]
The samples made of nanostructured Ti-6Al-4V alloy have high mechanical properties after
isothermal straining [1]. It is supposed that the compressor blade of GTE made of the
nanostructured Ti-6Al-4V alloy produced by isothermal forging at temperature 650°C should
have elevated service properties.
Investigation of the blade stress and strain state in forging, determination of the process power
parameters are an essential problem the solution of which will make it possible to develop
forming technique.
The investigation of the stress and strain state was conducted by finite-element method at
isothermal setting of the problem. The program product “Deform-3D” was used for doing it.
An energy method was used for analytical dependences output of strain energy and specific
force of straining.
There was modeled a press forming of the blade with overall dimensions (taking into account
a technological lap on the pen width): 110×142 and a mean pen size of the blade t=3 mm, in
the closed press tool. The initial cylindrical billet was 23 mm in diameter and 135 mm in
length.
The investigation results:
The specific force of straining in press forming of the nanostructured billet exceeds the
specific force in press forming of the same blade made of BT-6 alloy in as-received condition
by 6 times and amounts to 760 MPa.
The specific force of straining 769 MPa corresponds to the strain rate 0.5 mm/s. At this rate in
all material particles of the billet at the final stage of the press forming the strain rate meets
the speed regime of low-temperature superplastic deformation of the nanostructured Ti-6Al-
4V alloy.
The pressure in the hydroprocess cylinder providing a required press forming regime was
determined by using the law of dynamics.
As it was shown by modeling, the deformed state of the billet at the final stage of filling the
press forming is close to the two-dimensional one.
292
As the deformed state is two-dimensional, by energy method there were obtained
dependences of the strain energy, the specific force, the hydroprocess pressure on the main
geometrical dimensions of the blade, the friction coefficient and flow stress of the metal.
The data of the dependence correspond well to the data obtained at the pilot press forming and
form the basis for performing scientific process designs of isothermal forging of the product
“blade”.
[1] I.P. Semenova, G.I. Raab et al, FMM, in press
293
BNM-2007, 17 August, Poster Session C Poster report
Nanostructures and Grain Boundaries Migration at the Atomic Scale Dmitrii Titorova,1
a Physical-technical Institute, Ural Branch of the RAS, 132 Kirov St., Izhevsk 426000 Russia 1 [email protected]
The problem of the development of nanostructured materials is a problem of developing
materials with the high density of grain or phase boundaries. The occurrence of grain
boundaries is a consequence of the distinction of orientations of lattices of next volumes of
substance. The disorientation can be created by the very local and very non-uniform
deformation, and by providing heterogeneity of orientations of crystallization or
recrystallization centres.
It is known that boundaries of grains in sizes from tens even to hundreds of micrometers
significantly affect the level of mechanical, physical, and chemical properties of
polycrystalline materials. In nanostructured materials the share of atoms, which are in the
boundary one-atom layer, can be equal to about 1 % of all atoms, if the diameter of a grain is
about 100 nm, and almost 10 %, if the size of grains is reduced up to 10 nm. It is natural to
expect that the role of grain boundaries in nanomaterials significantly increases.
Experimental methods do not allow one yet to understand reliably the atomic structure of
grain boundaries, especially triple and fourfold joints of grains. The interpretation of the data
obtained by electronic microscopy and, especially, by other investigation methods of these
structural formations is too ambiguous and subjective. It is impossible to search for optimum
structures on minima at the surface of potential energy, because there is a great quantity of
these minima, and minimum of boundary structures can not be global.
Nevertheless, the properties, exhibited by complexes of the connected atoms, essentially
depend on the location of the atoms rather each other in these complexes. Therefore, there is a
need to try to understand and to predict somehow the atom structure, atom reorganizations on
boundaries and joints of grains to operate them.
To maintain the stability of the nanostructure it is necessary to prevent grain growth. But for
this to happen it is essential to know the grain growth mechanism. Growth of grains at the
atomic level is not the transition of atoms from a state with the raised energy in the state with
the lowered energy.
It is the transition of atoms from places where their centres are coincident with an
arrangement of points of the lattice of one grain, to places, where their centres coincide with
an arrangement of points of the lattice of another growing grain.
294
These atomic readjustments occur on the boundaries of grains, therefore the grain boundaries
drift giving the impression that the grain growth is caused by the movement of boundaries.
Only adequately understanding how these atom transitions are carried out, it is possible to try
to search ways making these transitions difficult, and, thus, ways for realizing the stability of
the nanostructure.
In the paper it is shown how the atom structure of boundaries, triple joints and the atomic
bonding between adjoining grains can be presented, and how the atomic relay-race
mechanism of grain growth in a solid phase is given using the model of interpenetration
atoms. This model has been found [1, 2] when solving the problem of modeling the formation
of well known crystal structures described by the Bravais lattice. It is the “structural atom
model” of its origin and thus more effective for the decision of structural problems in science
of materials, as opposed to an electronic-quantum model developed from the analysis of
results of spectral researches, that is this model of its origin is the “spectral atom model” and
consequently it is a more effective one in the solution of spectral problems.
[1] D.B. Titorov, Crystallography Reports, 1 (2001) 19
[2] D.B. Titorov, Povrhnost’(Surface), 6 (2003) 93 (in Russian)
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BNM-2007, 17 August, Poster Session C Poster report
Nanotechnology of Macroobjects Georgy M. Volkov
Moscow State Technical University MAMI, 38 B.Semenovskaya St.,
Moscow 105839, Russia [email protected]
On an example of carbon - carbon system the opportunity of realization the monostage
technology nanocomposits for engineering industry is shown.
Considering graphite as a limiting degree of condensation of aromatic hydrocarbons have
estimated a critical diameter it nanoparticles .For carbon in allotropic modification of graphite
that make up about 10 nm. The many years research of a representative samples of industrial
batches of nanocomposite has shown the satisfactory compliance of experimental value of
d cr.(9.2 nm) of graphite with the theoretical data.
Nanoparticles of carbon and carbon matrix, connecting them, are formed in uniform
technological process simultaneously. The industrial technology of the nanocomposite as
plates and tubular pieces, and also as specific articles with the size up to 200 mm and the wall
thickness up to 10 mm is developed during the practical production processes.
Structure and basic properties the nanocomposite of carbon–carbon systems compliance with
the theoretical data. The carbon nanocomposite has a unique combination of properties: it is
chemically and biologically inert, air and liquid impermeable, radiation resistant and
surpasses any carbon materials: in friction coefficient 5 times, in cathode sputtering
coefficient 15 times, in oxidizing resistance up to 300 times and surpasses tungsten in high-
temperature specific durability. The above properties ensure functioning capability of
advanced machines and devices.
The offered approach to solution of technological problems of nanomaterials can be used in
creation of one-stage technology nanosystems of a filler-matrix of other chemical
composition.
296
BNM-2007, 17 August, Poster Session C Poster report
Brittle-Ductile Transition in Commercial Pure Tungsten with Ultrafine-Grained Microstructure
Yue Zhanga,1, Jing Tao Wanga,2 J.Q.Liua,3, Artur Ganeevb,4 and Igor V.Alexandrovb,4 a School of Materials Science and Engineering, Nanjing University of Science and Technology,
Nanjing, Jiangsu 210094, P. R. China b Institute of Physics of Advanced Materials, Ufa state Aviation Technical University,
12 K. Marx St., Ufa 450000 Russia 1 [email protected], 2 [email protected], 3 [email protected], 4 [email protected]
Tungsten is an important material with highest refractory property among all metals. Its
application is, however, restricted by its brittleness. The Brittle-Ductile Transition
Temperature (DBTT) of commercial pure bulk tungsten materials could be as high as 500oC.
Plastic deformation was well used to improve the ductility of tungsten, following a empirical
rule that DBTT of tungsten decrease monotonously with plastic deformation. The un-
recrystallized fibrous microstructure in the materials retards the propagation of crack and thus
improves the ductility. It is believed that equiaxed grains, even fine, will result in brittleness
in tungsten. Dopants of various kinds are thus well used to resist recrystallization in tungsten
products, which usually owns thin size to allow the necessary plastic deformation.
Equal channel angular pressing (ECAP) provides a useful processing to impose high plastic
deformation into bulk materials, which makes bulk ductile tungsten products possible.
Meanwhile, this process could also introduce sub-micro to nano-meter grain size into the
materials, which provide an opportunity to test the effect of quiaxed grains at a sub-
micrometer level. Commerial pure tungsten was used to approaching these aims in the present
work. During ECAP, the die with a channel angle of 135o was heated to 600 oC and tungsten
sample was heated to 1150 oC. ECAP was conducted up to 7 passes via Route C.
Figure 1. TEM microstructures of the tungsten samples
ECAPed As received
297
The present work indicates that: 1) DBTT of commercial tungsten decrease from > 483oC in
as received state with a grain size of ~3 µm, to <350oC in ECAP processed state with an
equiaxed grain size of ~0.9 µm, this shows that ductility of tungsten could also substantially
improved by equiaxed grain structured when ultra-refined; 2) ECAP substantially increased
the HV of the commercial tungsten. This provides an effect processing for obtaining bulk
tungsten with high strength and ductility, in contrast to the thin materials by conventional
working processes.
Figure 2. The dependence of Vickers-hardness on Testing temperature
Figure 3. HV test pit at 483oC and cracks around it in as received tungsten
60 µm
298
BNM-2007, 17 August, Poster Session C Poster report
Influence of the Scale Factor on Strain Fields in the Materials Processed by Equal-Channel Angular Pressing
Vladimir Zhernakova,1, Anatoliy Ermolenkoa a Ufa State Aviation Technical University, 12 K. Marx St., Ufa 450000 Russia
Equal-channel angular pressing (ECAP) is a promising process which allows obtaining large
plastic shear strains. In this process a sample is deformed when passing through two equal-
sized channels situated at some angle to each other. Formation of large plastic strains in the
sample material is achieved by simple shear. Large plastic strains are provided by multiple
repetition of the process or at the expense of use of multichannel scheme of deformation. This
results in grain refinement and unique mechanical and physical properties of the material.
Finite element modeling is widely used to study inhomogeneity of deformation during ECAP.
Inhomogeneity of deformation across the width of a billet, a multichannel deformation
scheme require a more thorough and deep description of the process by numerical procedures.
Study of ECAP samples with square and round cross sections is promising in this field.
The report presents the research data on behavior of the material subjected to equal-channel
angular pressing (ECAP). Influence of the scale factor on formation of nanostructures in Cu
and Ti samples after the 1st pass is studied. The samples after several passes according to the
multichannel scheme of deformation were also investigated. Influence of sample sizes on the
degree of deformation inhomogeneity was studied. The process was modeled by the finite
element method with the help of the software SFTC DEFORM-3D v.5.1. The calculation data
were compared with the experimental ones obtained at the Institute of Physics of Advanced
Materials (IPAM).
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BNM-2007, 17 August, Poster Session C Poster report
Mechanics of Plastic Deformation of Cu and Ti Ingots during Multipass Combined ECAP
Igor Budilova,1, Yuri Lukaschuka and Vladimir Zhernakova,3 a Ufa State Aviation Technical University, 12 K. Marx St., Ufa 450000 Russia
1 [email protected], 3 [email protected]
The report analyzes the plastic flow of material during equal-channel angular (ECA) pressing
of Cu and Ti ingots. The analysis of accumulated plastic strains at different stages of ECA
pressing was carried out within the frames of the isotropic model of the material.
Numerical techniques play an important role during development of the most optimal
geometry of the die-set and modes of ECA pressing. In particular, this approach allowed
investigating the influence of such ECAP parameters as a friction coefficient, a channels’
intersection angle, a pressing route and number of passes, geometric sizes of a channel, a fillet
radius of channels, a strain rate and a diagram of material deformation of a billet, back
pressure. Combination of these factors results in contradictory conclusions about regularities
of the plastic flow, evenness of channels filling and a value of accumulated total strain.
Influence of the friction coefficient and outer radius curvature radius on the peculiarities of
the plastic flow and distribution of accumulated over the billet body is studied on 3D models
in detail. Special attention is paid to evaluation of evenness of distribution of plastic strains in
the billet body and analysis of presence of zones with maximal values of plastic strains. Grain
refinement was assessed in the process of ECAP. Homogeneity of plastic strain fields was
analyzed.
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18 August
Innovation Trends and
Applications of Nanomaterials
(ISTC session)