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Inst. f. Materials Science and Welding
State of the art in numerical modellingof weld phenomena
N. Enzinger, H. Cerjak
Graz University of Technology, Inst. for Materials Science and Welding,
Kopernikusg 24 8010 Graz AustriaKopernikusg. 24, 8010 Graz, Austria
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Inst. f. Materials Science and Welding
Introduction
Wh i l i l ti ?• Why numerical simulation?• What is possible?
• Examples presented in M th ti l M d lli„Mathematical Modelling
of Weld Phenomena 8“• Actual examples from• Actual examples from
IWS at Graz University of Technology
• Summary and Conclusion
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Inst. f. Materials Science and Welding
Why numerical simulation?
P i ti ti d ti i ti• Process investigation and optimization– Process parameters
Tool development– Tool development
• Improved understanding• Improved understanding
• Prediction of behaviour• Prediction of behaviour– Without experiments– Long term forecastLong term forecast
• Failure analysis
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Failure analysis
Inst. f. Materials Science and Welding
Investigated Processes
A W ldi• Arc Welding– TIG
Submerged arc welding– Submerged arc welding
• Laser Welding• Resistant Spot Welding
and arbitrary, complex• Resistant Spot Welding
• Cladding• Friction and Friction Stir Welding
pcombinationsto model total production• Friction and Friction Stir Welding
• Heat treatmentMachining
chain
• Machining• Forming
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Inst. f. Materials Science and Welding
Investigated Materials
Al i i d it ll• Aluminium and its alloys
• Steel– Structural steel
Advanced high strength steels– Advanced high strength steels– Austenitic stainless steel
• Quartz Glass
• Polymers
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Inst. f. Materials Science and Welding
Considered Phenomena
T t di t ib ti• Temperature distribution• Welding residual stresses and deformation
mac
ro
• Stresses during welding m
odel
ling
• Fluid flow in arc and weld pool• Vaporation
mes
o
scal
em
o
• Solidification
Mul
ti –
s
• Metallurgical effects and transformation• Damage (creep, cracking, …) m
icro
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Inst. f. Materials Science and Welding
Scientific fields• Solid state physics and mechanics• Solid state physics and mechanics
– residual stresses and deformation– friction– damage model (creep fracture hot / cold cracking)damage model (creep, fracture, hot / cold cracking)
• Electromagnetism– arc processes– spot welding and arbitrary, p g
• Fluid flow– weld pool formation / weld pool shape
• Thermodynamics / kinetics
y,complexinteractionsby couplingy /
– microstructure– diffusion– phase transformation
• Heat transfer– heat input– cooling
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Inst. f. Materials Science and Welding
What to consider in simulation –What to consider in simulation –preliminary thoughts
A l t i t t i fl hi h b lt d iAnalyze most important influences, which can be altered in process, to consider proper modelling approach
M. Asadi and A.H. Kokabi. Numerical Modelling and Studying the Effects of
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Resistance Spot Welding Parameters on Tensile-Shear Strength in Automotive Sheets.
Inst. f. Materials Science and Welding
Modelling approachExecution Speed
Extrapolation quality
Theoretical model
Empirical modelNeural NetworkNeural NetworkRegression Analysis
Experimental Expense
D W i K H Ch i t d J K K i t C t C lib ti f Th l
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
D. Weiss, K.H. Christensen and J.K. Kristensen. Computer Calibration of Thermal Welding Models. p. 469-484 in Mathematical Modelling of Weld Phenomena 8.
Inst. f. Materials Science and Welding
Typical approach in Numerical Modelling
onm
plifi
catio
Sim
• Validation: “solving the correct equation” g q• Verification: “solving the equation correctly”
− Discretisation (meshing, time steps)− Iteration (convergence criteria)
Programming and user errors
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
− Programming and user errorsD. Radaj and L.-E. Lindgren. Verification and Validation in Computational Welding Mechanics
Inst. f. Materials Science and Welding
Time consuming
Model Half model Full model Full modelSize Medium LargeComplexity Simple Medium high
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
C. Schwenk, M. Rethmeier and D. Weiss. Rapid Generation of Temperatur Fields for Simulation of Welding Distortions
Inst. f. Materials Science and Welding
Typical application of NN
D W i K H Ch i t d J K K i t C t C lib ti f Th l
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
D. Weiss, K.H. Christensen and J.K. Kristensen. Computer Calibration of Thermal Welding Models. p. 469-484 in Mathematical Modelling of Weld Phenomena 8.
Inst. f. Materials Science and Welding
NN prediction of toughness
J.M. Vitek and S. Travis. Neural Network Design Options
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
for Mechanical Property Modelling. p. 373-386 in Mathematical Modelling of Weld Phenomena 8
Inst. f. Materials Science and Welding
Limits of NN
J.M. Vitek and S. Travis. Neural Network Design Options
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
for Mechanical Property Modelling. p. 373-386 in Mathematical Modelling of Weld Phenomena 8
Inst. f. Materials Science and Welding
Coupling of complex processes
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
V. Robin, E. Feulvarch, I. Masters, X. Fan and D. Dry. A local Spotweld Model to predict Large Assembly Distortions
Inst. f. Materials Science and Welding
spot welding simulation …
M.F. Zaeh, L. Papadakis and W. Rauh. Realisation of the Virtual Process
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Chain Forming-Welding on Whole Assembled Automotive Body Components by Means of Shell Elements
Inst. f. Materials Science and Welding
… of previously deformed sheets
M.F. Zaeh, L. Papadakis and W. Rauh. Realisation of the Virtual Process
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Chain Forming-Welding on Whole Assembled Automotive Body Components by Means of Shell Elements
Inst. f. Materials Science and Welding
Leads to remarkable results
M.F. Zaeh, L. Papadakis and W. Rauh. Realisation of the Virtual Process Chain Forming-Welding on Whole Assembled
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Automotive Body Components by Means of Shell Elements
Inst. f. Materials Science and Welding
Special spot weld elements
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
T. Heubrandtner and G. Rangger. Modelling of Plastic Deformation of a Spotweld Based on the Trefftz-Method.
Inst. f. Materials Science and Welding
Local global approachLocal global approach
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
V. Robin, E. Feulvarch, I. Masters, X. Fan and D. Dry. A local Spotweld Model to predict Large Assembly Distortions.
Inst. f. Materials Science and Welding
benefits
D f ti b ti t d• Deformation can be estimated
• Tools such as clamping devices can be optimized
• Improved accuracy of final part by– Proper clamping
P iti f t ld– Position of spot welds– Minimize deformation
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Inst. f. Materials Science and Welding
Basic Model of GMAW Process - SimWeld
• Ohmic heating of electrode• Contact resistance• Anode heat flux into droplet• Heat diffusion• Evaporation heat losses• Electromagnetic forces• Surface tension• Plasma composition• Power source
characteristics• Voltage in anode, arc and
th dcathode• Temperature dependence
of material properties
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
V. Pavlyk, O. Mokrov and U. Dilthey. Heat Source Modelling in GMA-Welding and its integration in Stress-Strain-Analysis.
Inst. f. Materials Science and Welding
Application of SimWeld Results in SysweldHeat source parameters Temperature fieldp p
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
V. Pavlyk, O. Mokrov and U. Dilthey. Heat Source Modelling in GMA-Welding and its integration in Stress-Strain-Analysis.
Inst. f. Materials Science and Welding
Post weld heat treatment to avoid higherPost weld heat treatment to avoid higherresdiual stresses and reduce hydrogen content
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
P. Wongpanya, Th. Boellinghaus and G. Lothongkum. Numerical Simulation of Hydrogen Removal Heat Treatment Procedures in High Strength Steel Welds
Inst. f. Materials Science and Welding
Hydrogen cracking in steelIncreased preheat temperatureIncreased preheat temperatureincreases resdiual stresses
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
P. Wongpanya, Th. Boellinghaus and G. Lothongkum. Numerical Simulation of Hydrogen Removal Heat Treatment Procedures in High Strength Steel Welds
Inst. f. Materials Science and Welding
Production modelling of complex parts
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
J. Goldak, J. Zhou, S. Tchernov and D. Downey. Designer Driven Analysis of Welded Structures II
Inst. f. Materials Science and Welding
Production modelling of complex parts
1. Ohji-Sudnik heat source model (instead of distributed heat source) weld pool h b di dshape can be predicted
2. Anisotropic non-convex i l ti it d lmicro-macro plasticity model
(instead of isotropic macro convex plasticity)
3. Monte Carlo synthetic microstructure model (instead of density Kirkaldyof density Kirkaldymicrostructure evolution model)
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
J. Goldak, J. Zhou, S. Tchernov and D. Downey. Designer Driven Analysis of Welded Structures II
Inst. f. Materials Science and Welding
Overlay technique to reduce SCCOverlay technique to reduce SCC susceptibility
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
S. Courtin and Ph.Gilles. Multipass Welding on a Dissimilar Metal Weld and Overlay Design.
Inst. f. Materials Science and Welding
reduction of computation costs - macrobead approachThe main features of the technique are:
One macrobead is defined per• One macrobead is defined per overlay layer
• Return to room or preheating temperature between twotemperature between two macrobeads,
• Thermal cycles similar to welding operation are just applied on theoperation are just applied on the extreme beads of the macrobead
• Residual Stresses are overestimatedResidual Stresses are overestimated
Results• Compressive stresses are introduced at inner diameterp• Overlay technique works up to 50% of wall thickness• Thicker overlays tend to introduce tensile stresses due to bending
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
S. Courtin and Ph.Gilles. Multipass Welding on a Dissimilar Metal Weld and Overlay Design.
Inst. f. Materials Science and Welding
Analytical thermal solution
speed up calculationtimes significantlytimes significantly
GTA-Welding250 Amps250 Amps12 Volt5 mm/s
V.A. Karkhin, P.N. Homich and V.G. Michailov. Models for Volume
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Heat Sources and Functional-Analytical Technique for Calculating the Temperature Fields in Butt Welding
Inst. f. Materials Science and Welding
FSW modelling
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
P. Colegrove, H. Shercliff, J. Robson, N. Kamp, A. Sullivan and S. Williams. Integrated Process Modelling of Friction Stir Welding
Inst. f. Materials Science and Welding
Particle tracking – simulation andParticle tracking – simulation andexperimental verification by CT
P. Colegrove, H. Shercliff, J. Robson, N. Kamp, A. Sullivan and S. Williams. Integrated Process Modelling of Friction Stir Welding
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
PhD Th. Weinberger
Inst. f. Materials Science and Welding
FSW
P di ti f t t fi ld k ll• Prediction of temperature field works well• Semi empirical modelling
• Future challange– Influence of parameters on final result– Physically based prediction of
• heat input (friction),heat input (friction), • microstructural development, • residual stresses
Defect prediction– Defect prediction– Tool wear
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Inst. f. Materials Science and Welding
Examples from current research at IWS
Si l ti f i t t l l ti i th HAZ f• Simulation of microstructural evolution in the HAZ ofa 9% Cr steel
• Modeling FSW considering a deformable tool
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Inst. f. Materials Science and Welding
Simulation of microstructural evolution in the HAZ of a 9% Cr steel
Chemical composition
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
PhD I. Holzer, IWS, TUGraz
Inst. f. Materials Science and Welding
Experimental Verification• Specimens for microstructural
investigations were produced on a GLEEBLE 1500
Experimental Verification
GLEEBLE 1500• Several specimens were exposed to
defined time-temperature sequences characterized by the peak temperature Tpy p p pand the t8/5 time
• For the microstructural characterisation the welding cycle characterised by T =1300°C and t =80s was selectedTP=1300 C and t8/5=80s was selected
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
PhD I. Holzer, IWS, TUGraz
Inst. f. Materials Science and Welding
•The “as-received” conditionis characterised by theis characterised by thepresence of M23C6 an MXprecipitates.
•During welding (at T=TP) allprecipitates are dissolved.
•In the “as-welded” conditionsmall rod shaped precipitateswere present in thewere present in themicrostructure.
•During PWHT re-precipitationtakes place and theprecipitation state again ischaracterized by thepresence if M23C6 and MXprecipitatesprecipitates.
Characterisation of precipitate size
Electron microscopy was carried out at the Institute for Electron Microscopy
Characterisation of precipitate size
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
y yof Graz University of Technology using a Philips CM20.
PhD I. Holzer, IWS, TUGraz
Inst. f. Materials Science and Welding
Evolution of precipitate diameters during welding cycle and PWHT:
•During Welding (2) and in the as-welded“ condition ∑
∑∑∑ +
=⋅
=i
i ii
ii
i
iii
tdt
td
w
wdd
S l
Sample,
During Welding (2) and in the „as welded condition (3) no MX and M23C6 precipiates could be identified
•After PWHT (7) the size of MX and M23C6 reach similar values to the size in the „as-received“ condition (1)
∑∑+i ii
ii
i
dtwSample,
B. Sonderegger, Ultramicroscopy, 2006,106, 941-950condition (1)
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
PhD I. Holzer, IWS, TUGraz
Inst. f. Materials Science and Welding
•Dissolution of M23C6 during austenitisationand re-precipitation during tempering
•Dissolution of all precipitate phases during
M23C6MXM Cwelding cycle and re-precipitation of M23C6
and MX precipitates during PWHTM3CM7C3
Database: MC_Steel.tdb (standard MATCALC)
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
PhD I. Holzer, IWS, TUGraz
Inst. f. Materials Science and Welding
Simulation resluts•After the heat treatment in the “as-received” condition the precipitates reach sizes of 70nm (M C ) and 27nm (MX)
M23C6MXM C(M23C6) and 27nm (MX)
•During the welding process (TP=1300°C) all precipitate phases dissolve
•After the PWHT the precipitates reach again
M3CM7C3
M23C6MXsizes of 45 nm (M23C6) and 11 nm (MX) MX
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
PhD I. Holzer, IWS, TUGraz
Inst. f. Materials Science and Welding
FSW (deformable tool)
S. Khosa, T. Weinberger, N. Enzinger; Finite element analysis of material flow patterns in
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
friction stir spot welding of AL6082-T6 using different process parameters and tool geometries - 5th International Conference (HEFAT) Sun City, South Africa (2007)
Inst. f. Materials Science and Welding
Boundary and Initial Conditions
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
S. Khosa, T. Weinberger, N. Enzinger; Investigation of Thermomechanical Response of Work piece during Friction Stir Spot Welding (FSSW) – Proceedings of 3rd FSW Modeling and Flow Visualization Seminar. (2008), P. 97 - 102
Inst. f. Materials Science and Welding
Thermal ModelThermal Modeltssq f Δ
Δ== ητητ &
Pμτ = P.μτ =• Thermal Model
• Interfacial Heat Input D f ti l H t I tεσα &..=dq • Deformational Heat Input
• Interaction• Friction Co-efficient• Strain Rate & Resultant Stress
Energy InputLosses (Mechanical efficiency, Rad & Conv, Sound, etc)
Frictional HeatEnergy Input Frictional Heat
Deformational Heat
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
S. Khosa, T. Weinberger, N. Enzinger; In Proceedings of 3rd FSW Modelling and Flow Visualization Seminar. (2008), P. 97 - 102
Inst. f. Materials Science and Welding
Material ModelsMaterial Models• Model Description
Material Model (Mises-Experimental)– Material Model (Mises-Experimental) (Temperature and Strain Rate Sensitive Data from Literature)
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
After Spegarelli et al; Scripta Materilia49 (2003) 179-183
Inst. f. Materials Science and Welding
Rotational Speed
Downward Loads
Pin Profile
Process Parameters
Traverse Speed
Tool
Weld Location & Geometry
Conductivity
Material Properties
Base Material
Parameters
System Parameters
Tool Geometry
FSW Process
Backing Plate
Tool Material
Temperature Field
St Fi ld
Outputs
Velocity Profile
Stress Fields
Tool Deformations
Microstructure
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Profile Predictions S. Khosa: 5th IWS Internal Seminar, TU Graz, Austria - 2007
Inst. f. Materials Science and Welding
Model DevelopmentModel Development• Model Description
M h C t l (ALE)– Mesh Controls (ALE) • Lagrangian & Eulerian Formulation
Without ALE Step – 2
With ALE Step – 1Step – 2
Step – 1
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
S. Khosa: 5th IWS Internal Seminar, TU Graz, Austria - 2007
Inst. f. Materials Science and Welding
Temperature Profile
Temperature (K)
Plunge Rate: 1.2 mm/s (72 mm/min)
Spindle Speed: 800 rpm
ALE mesh control with mass scaling
Material Model: Ideal Plastic
(SS 304)
Weinberger, T.; Khosa, S. U.; Führer, B.; Enzinger, N.: Analysis of tool wear and
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
failure mechanism during friction stir welding of steel. - in: Conference Proceedings 7th International Symposium ‘Friction Stir Welding’ . (2008) In Press
Inst. f. Materials Science and Welding
Results and DiscussionResults and Discussion
• Stir Zone Predictions
1200 RPMPlunge Rate: 72 mm/minMaterial: AA6082-T6
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
S. Khosa, T. Weinberger, N. Enzinger; Investigation of Thermomechanical Response of Work piece during Friction Stir Spot Welding (FSSW) – Proceedings of 3rd FSW Modelling and Flow Visualization Seminar. (2008), P. 97 - 102
Inst. f. Materials Science and Welding
Results and DiscussionResults and Discussion
• Material Flow TrendsMaterial Flow Trends
1200 RPMPlunge Rate: 72 mm/minSheet Material: AA6082-T6 Tool: RigidTool: Rigid
Schneider, Nunes: Metal. & Mate. Trans. B 35B (2004) 777
Khosa, S. U.; Weinberger, T.; Enzinger, N.: Effect of energy input rate on the deformation behavior of AL 6082-T6 matrix during friction stir spot welding "Computer Technology in Welding and
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
friction stir spot welding. – "Computer Technology in Welding and Manufacturing" - Cranfield University, Cranfield -UK (2008) In Press
Inst. f. Materials Science and Welding
Preliminary ResultsPreliminary Results
• Stress Profile
1600 RPMPlunge Rate: 72 mm/minSheet Material: SS 304Tool Material: Assumed WC-Co
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Tool Material: Assumed WC CoUnpublished Work: S. Khosa, T. Weinberger, N. Enzinger: IWS – TU Graz, Austria
Inst. f. Materials Science and Welding
Different Approaches and Aims
A i t• Accuracy improvement– More details (clamping, …)
Material model– Material model– Physical description (heat input due to friction)– Coupling of different phenomenap g p
vs. • faster calculation
– Phenomenalogical appraoch– Limited accuracy with still enough information– Large structure (real world problems)
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Inst. f. Materials Science and Welding
Summary and Conclusion
M t i l d t d d l i i l i t• Material data and model is a crucial point– Nowadays considering transformation is standard– Temperature (strain rate) dependance has to be considerede pe atu e (st a ate) depe da ce as to be co s de ed
• You have to know strength and limits of your approach, e.g.– Linear vs. quadratic finite elements formulation and stability
Transfereability of results from one mesh to another– Transfereability of results from one mesh to another– Accuracy / extrapolation
• Validation and Verification of simulation is absolutely necessary
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N. Enzinger, H. Cerjak Brussels, 29.4.2009
Inst. f. Materials Science and Welding
Thank you for your attention!Thank you for your attention!come and see more
9th International SeminarNumerical Analyses of Weldability
28 Sep - 30 Sep / Seggau Graz Austria
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N. Enzinger, H. Cerjak Brussels, 29.4.2009