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CHAPTER 1
INTRODUCTION AND LITERATURE REVIEW
1.1 INTRODUCTION
The use of compressed natural gas (CNG) as a vehicle fuel has been
growing worldwide due to the advantages of significant reduction of exhaust
emission and lower fuel cost compared with gasoline. Composite materials are
increasingly being used for the construction of high-pressure CNG fuel
containers owing to their high strength to weight ratio and corrosion resistance.
Composite CNG cylinders are typically constructed with inner metallic liners in
order to arrest the gas leakage at high operating pressures. The liner also serves
as a mandrel for the filament winding operation and shares 15-20% of cylinder
loading.
Another important advantage of composite cylinders is that these
cylinders provide safe burst behavior compared to that of metallic cylinders.
The typical mode of failure of a metal lined composite pressure vessel is
described as ‘leak-before-break’, in which the leakage starts from the liner
fracture and passes through the composite overwrap progressively. In this mode
of failure, sufficient leakage of the gas takes place before the full burst happens
and thus it offers greater safety in the event of a failure. This is considered a
very significant advantage of CNG fuel storage cylinders for automobiles.
2
As a part of the manufacturing process, all metal lined composite
cylinders undergo a process known as ‘autofrettage’ or ‘sizing’ which creates a
state of pre-compressive stress in the liner. This is done by subjecting the
finished composite cylinder to a pressure sufficient enough to cause plastic
deformation in the liner while the composite is in its elastic range. The
plastically deformed liner is consequently placed under a compressive stress on
depressurization and the composite overwrap is subjected to a slight tensile pre
stress. In normal operating cycles, the liner material operates between tension
and compression. The net result is a reduction in the operating strain range of
the liner material with a consequent increase in fatigue life. The operation of a
CNG cylinder constitutes a low cycle fatigue due to the periodical expending of
gas and re-pressurization and hence fatigue becomes an important design
criteria.
Metal lined composite pressure vessels are constructed in developed
countries using the carbon fiber-epoxy composite system with aluminium liner,
which offers the maximum weight reduction. However these cylinders are
costlier. Steel as liner material and glassfiber-epoxy as the composite overwind
can offer the combined overall benefit, considering weight saving, cost and the
local availability of glass fiber in most countries. Hence, with the objective of
developing cost effective and technically qualified composite CNG cylinder, a
steel lined glassfiber-epoxy reinforced composite construction was selected for
this work.
1.1.1 Types of Vessel Construction
There are two types of vessel construction normally being adopted for
the metal lined composite cylinders. They are called ‘fully wrapped
3
construction’ and ‘hoop wrapped construction’. In a fully wrapped construction,
the composite is wound over the cylinder as well as over the domes and the
winding consists of both helical and hoop layers. In a hoop wrapped
construction, the composite is wound over the cylindrical portion with hoop
layers (90°) only. Fig. 1.1 and 1.2 show the fully wrapped and hoop wrapped
constructions.
Fig. 1.1 Fully Wrapped Cylinder
Hoop Layers
Fig. 1.2 Hoop Wrapped Cylinder
The optimum winding angle for composite cylindrical vessel
subjected to internal pressure is given by netting analysis as 54.7°. The fiber
orientation at this angle exactly meets the 2:1 ratio of hoop verses axial loading
in composite cylindrical structures subjected to internal pressure. However, it is
4
not possible to use this angle for composite pressure vessels, since the fibers do
not stay in place over the dome surface when wound at 54.7°. Only with low
helical angle it is possible to wind over the dome. Hence the fully wrapped
pressure vessels are typically constructed with low angle helical layers to take
care of longitudinal loading and hoop layers to take care of hoop loading.
The standards for composite pressure vessels for CNG storage
applications are normally government-controlled regulations that define the
technical and safety requirements. The cylinder must fulfill the above
requirements, while at the same time being capable of mass production at a
competitive price. For composite CNG cylinders, the important regulatory
agencies are:
DoT (Department of Transportation, USA)
NGV2 (Natural Gas Vehicle Standard, USA)
TUV (Germany) and
HSE (UK)
ISO has recently published a standard for composite CNG cylinders
for vehicles (ISO 11439, First edition: 2000).
1.1.2 Filament Winding Process
1 Filament winding is an effective method to manufacture composite
cylinders. In a typical wet winding process, the unidirectional fiber rovings are
pulled through a resin bath and wound onto the rotating liner and then cured in
an oven to get the full strength. The filament winding also uses ‘prepregs’ in the
form of tapes. The wet winding is more commonly used for composite
cylinders owing to the advantages of low material cost and short winding time.
5
Filament winding is carried out on specially designed machines.
Precise control of the winding pattern and direction of the filaments are
required for maximum strength, which can be obtained with controlled machine
operation. Directional strength ratios can be varied in filament wound
structures. Filament winding provides high burst strengths in composite
pressure vessels. A filament wound construction provides an almost 100%
efficient strength-to-weight structure. Fig. 1.3 shows the wet winding process.
Head Stock
Fig.1.3 Filament Winding of CNG Cylinder
1.1.3 Performance Index
As far as the metal lined composite pressure vessels are concerned,
the effective weight saving that can be achieved depends on the liner material,
fiber material and the optimal design. Since the vessels can be designed for
different pressure rating and capacity with different materials, the net effect of
weight saving in pressure vessels is expressed by means of a parameter,
‘performance index’. Performance index is a number used to compare the
performance of pressure vessels and is calculated (Peters, S.T., 1994) as:
6
PVPerformance index = --------
W
Where, P - Pressure (bar)
V - Volume (liter)
W-Weight (kg)
Fig. 1.4 shows a comparison of performance index of vessels with
different material of construction (Masanori Kawahara et al., 1998).
Fig. 1.4 Comparison of Cylinder Performance Index
Higher performance index value indicates low weight vessel for the
given operating pressure and capacity. It can be seen from Fig. 1.4, that fully
wrapped carbon epoxy vessels with plastic liner (HDPE) gives the maximum
value of performance index. While using the plastic liner, the cylinder boss is
7
normally made in metal and attached to the plastic liner. Achieving a leak-proof
joint between the metallic boss and the plastic liner becomes extremely difficult
and hence the composite pressure vessels with plastic liners are not
commercially exploited, except for aerospace applications.
With respect to the vessel shape, it is well known that the spherically
shaped vessel gives minimum specific mass. However, spherical shaped vessels
are not constructed for commercial CNG and other gas storage applications due
to their constructional and mounting difficulties. CNG cylinders are typically
made as a cylindrical body with end domes. The required useful volume and the
accommodating space in the vehicle usually determine the length to diameter
ratio.
1.1.4 Material of Construction
Materials of CNG cylinder construction include fiber reinforcement,
resin matrix and liner. Most frequently used fibers are glass, aramid(Kevlar)
and carbon fibers. Typical material properties of different fibers along with the
cost are given in Tablel.l (Anthony Kelly, 2000)
Table 1.1 Fiber Properties
Property and Cost E-Glass S-Glass Aramid CarbonTensile Strength (MPa) 1700 2480 2480 2960
Elastic modulus (GPa) 70 87 131 220Density (kg/in’) 2540 2490 1440 1800
Cost (US Dollars/pound) 1.00 6.00 21.00 15.00
8
Glass fiber was chosen as the reinforcement fiber for the present
composite CNG cylinder developmental study owing to its low cost, moderate
strength and good damage tolerance and fatigue properties. Among the resin
candidates, the epoxy resin has better engineering properties in terms of good
adhesion, low water absorption and low cure shrinkage and generally used for
the pressure vessel construction.
The main selection criteria for liner materials are: high specific
strength, long fatigue life and good fracture toughness characteristics and strain
compatibility between liner material and composite overwrap. Aluminum
alloys, titanium alloys and alloy steels are the most commonly used liner
materials for the metal lined filament wound pressure vessels. The important
properties of these materials are listed in Table 1.2 (Technical Manual, PMA
Inc., 1997).
Table 1.2 Properties of Liner Materials
Criteria Titanium Alloy AluminiumAlloy Steel Alloy
Elastic modulus (GPa) 110 204 68
Ultimate strength (MPa) 900 850 350
Density (kg/m ) 4430 7920 2700
Fracture Strain (%) 8 10 12
Cost(US Dollars/pound) 21.5 3.2 4.5
Titanium alloys, due to their low density, best meet the criterion of
low weight. However, on account of their high cost, they are not used in
commercial pressure vessels. The alloy steel has high strength, better leak-
before-break criterion and lower cost compared with the aluminium alloys. On
the weight criterion, alloy steel is three times heavier than aluminium alloy.
9
However, due to its high strength, the required liner thickness will be less and
hence the actual weight increase would be only marginally high. A comparative
performance rating evolved on the basis of design criteria for different liner
materials is given in Table 1.3 (Technical Manual, PMA Inc., 1997). Weighing
the overall benefit, alloy steel has been selected as the liner material for the
present CNG cylinder developmental study.
Table 1.3 Performance Rating of Various Liner Materials
Selection Criteria TitaniumAlloy
AlloySteel
AluminiumAlloy
Low Weight 1 3 2
Strain Compatibility between Liner and Composite
4 3 2
Leak Before Burst 3 1 2
Cost 4 2 3
Rating Order: 1 - Best 2 - Good 3 - Reasonable 4 - Poor
The liners may be either seamless or welded type. Seamless steel
liners are fabricated from seamless steel tubes by forming the end domes (with
neck and boss) using the hot spinning process. The resulting liners are heat
treated to get the desired mechanical properties and finally machined to provide
threads in the boss for fixing the valve. Welded liners are fabricated by welding
the separately formed end domes to the cylindrical portion by a circumferential
welding. Most of the pressure vessel standards do not permit longitudinal
welding. The quality of welded liner depends upon weld efficiency and this is
to be ensured by non-destructive testing and suitable quality control procedures.
10
1.2 LITERATURE REVIEW
In order to understand and assess the current status of research in
metal lined composite pressure vessels, an extensive review of literature was
carried out in the areas of composite cylinder structural analysis, winding
process optimization and performance evaluation. The main aspects of the
literature review are given hereunder.
1.2.1 Analytical Studies on Orthotropic Composite Cylinders
A fair amount of studies dealing with laminated composite pressure
vessels have been reported in the literature. However, a vast majority of studies
deal with unlined composite pressure vessels. The first comprehensive
investigation of stress distribution in a body with cylindrical anisotrophy was
made by Lekhnitskii (1968). He has developed relations for the problem of
plane stress in an orthotropic cylindrical shell subjected to internal and external
pressures. By layering a number of such shells and by matching the radial
deformations of adjacent shells at their interfaces, he developed relations
describing the stresses and strains in a multi-layer cylindrical shell composed of
a number of cylindrical layers, each with its own elastic properties.
Tsai (1971) has extended Lekhnitskii’s work to a composite filament-
wound pressure vessel where each layer of Lekhnitskii’s model corresponds to
a ‘winding layer’ of the pressure vessel. Tsai has developed the stress analysis
of thin and thick composite cylindrical vessels. He compared burst pressure
calculations from thin wall and thick wall considerations and concluded that for
outer radiiis/inner radius ratios less than 1.10, the thin wall approximation was
adequate.
11
Optimal design of unlined laminated pressure vessels for maximum
burst pressure and minimum weight has been investigated by many researchers.
Most of these analyses were based on the elasticity approach. Few important
developments have been enumerated hereunder.
Tauchert (1981) studied the optimal stress distribution in reinforced
pressure vessels for minimum strain energy. The works of Fukunaga, et al.
(1983), G.C.Eckold, (1985), C.S. Mao, et al. (1992) S. Adali, et al. (1993) and
C.W.Kim, et al.(1993) are important in the development of laminated
cylindrical pressure vessels under strength criterion. H.Fukunaga and
T.W.Chou (1998) have formulated simplified design techniques for laminated
cylindrical pressure vessels under both strength and stiffness constraints. The
analytical formulation by Alexis A. Krikanov (2000) and Viktor E. Verijenko
et al. (2001) focused on the optimization of laminated pressure vessels for
higher stiffness.
Spherical composite vessel analysis and its failure prediction were
reported by C.E.Knight (1982) and B.Mouhamath (1993). M.T.Callaghan,
(1991) and R. Heydenreich, (1998) have reported the developmental studies
carried out on composite cryogenic tanks.
Netting analysis is another popular theory used in most of the cases of
unlined pressure vessels (Tew, B.W., 1995). Netting analysis is a simplified
approach to the design of cylindrical filament-wound structures under internal
pressure loading. Netting analysis assumes that all strength and stiffness
properties are derived from the fibers alone and it is considered as a
conservative approach. Apart from the popular netting theory, many composite
shell theories have also been developed for the structural analysis of composite
cylinders. These theories have addressed different features such as transverse
shear deformation and geometrical nonlinear effects and found most relevant to
the analysis of thick composite cylinders. The works of C.G.Chao et al. (1975)
K.Bhaskar and T.K. Varadan (1992) and Serge Abrate (1994) were important in
this respect. A method of evaluation of geometrical nonlinear effects in thin and
moderately thick composite shells was given by Erasmo Carrera and Horst
Parisch (1998). Claire Ossadzow and Maurice Toratier (2001) have developed
an improved shear membrane theory for multilayered shells.
1.2.2 Analytical Studies on Metal Lined Composite Pressure Vessels
The available research papers on the analysis of metal lined composite
pressure vessels are less compared to the unlined pressure vessels. An earlier
study carried out by F.A. Simonen et al. (1975) on the filament reinforced
aluminum cylinders is of importance in terms of its approach. In this study, an
existing alunimum cylinder was reinforced in the cylindrical portion with hoop
windings with the idea of increasing the load carrying capacity and reducing the
weight. Analysis was done using a commercial finite element software package
by incremental load approach and thereby predicting the pressure
corresponding to the liner yielding.
M.D. Witherell and M.A.Scavullo (1990) have derived analytical
expressions for the stress analysis of internally pressurised composite-jacketted
isotropic cylinders using the thick cylinder elasticity approach. Peter C.T.Chen
(1993) has carried out a nonlinear analysis of a steel gun barrel reinforced with
glassfiber-reinforced plastics. This structure was intended for achieving weight
reduction. Analytical solutions were obtained using thick cylinder theory for all
loading ranges up to failure.
13
David kokan and Kurt Gramoll (1994) have reported the research
work carried out at Georgia Tech, USA on the metal lined filament wound thick
composite tubes. The analysis concentrated on the stresses induced by winding
and curing. The result showed that considerable manufacturing related stresses
developed in metal lined thick composite tubes. However, the analysis did not
account interface effects between the metallic liner and the composite and
assumed perfect interface between composite layers as well as between the
metallic liner and the composite.
L.Varga et al. (1995) have developed a design methodology for CNG
tank made of aluminium liners with reinforced plastics overwrap. An analytical
method was developed considering unit internal pressure and operating stresses
were calculated for the full loading cycle of the cylinder. The paper also
reported the experimental results of burst testing.
J.M.Lifshitz and H.Dayan (1995) have outlined the basic approach for
the analysis of filament wound pressure vessel with thick metal liner. The
authors have concluded that the selection of arbitrary thick liner did not give the
optimized design; however the difference in weight reduction was found
marginal between thin and thick liners. The study has predicted an interfacial
clearance at the metal-composite interface by curing; however the analysis has
not accounted the total effect of winding and curing.
B.S.Kim, B.H.Kim, J.B.Kim and C.RJoe (1998) have reported the
studies on the effect of containing the compressed natural gas in steel cylinders
for a prolonged period (one year) at room temperature. Their study showed that
steels withstood the compressed natural gas without any chemical reaction and
adverse effects.
14
Though abundant literature is available on autofrettaging of steel
cylinders, the autofrettaging studies pertaining to metal lined composite
pressure vessels are rare. Few studies that have some relevance to composite
materials are discussed hereunder. R.S.Salzar et al., (1996 and 1999) studied
the elastoplastic analysis of layered metal matrix composite cylinders and the
influence of autofrettage on metal matrix composite reinforced gun barrels.
J.Bouchet et al. (2000) studied the static and dynamic behaviour of composite
aluminium tube for automotive applications.
Stress analysis based on finite element method has been used
increasingly for composite structural analysis in recent years. Many
formulations of the isotropic material have been adapted to composites
accounting the elastic properties and structural behaviour of composites. Wood
(1994) has given a summary on the application of finite elements to composite
parts with special reference to the type of element to be used for a particular
application. Apart from the most popular displacement formulated finite
element method, many new variational formulations with different energy
principles have been attempted for composite laminates.
Huang et al. (1987) have developed a three-dimensional finite element
formulation, which takes into account the interlaminar shear stresses. The
theoretical aspects of finite element formulation as applicable to composites
were discussed by G. Duvaut et al. (2000) and Maenghyo Cho et al. (2000). A
finite element formulation developed for crashworthiness studies for a multi
layered multi-material (steel and composite) was reported in a recent paper
(D.Coutellier, P.Rozycki, 2000).
15
1.2.3 Studies on Dome
Filament wound pressure vessels always require some type of end
closures or domes. Pressure vessels constructed out of isotropic materials, such
as steel or aluminum, utilized either an ellipsoidal or torispherical shape for the
end caps to reduce the critical stresses within the structure. The ideal dome
profile for the composite cylinder is an ‘isotensoid’ profile that provides
constant fiber stress along the dome profile.
A photoelastic investigation of stresses in torispherical drumheads
was done by H.Fessler and P.Stanley (1965). L.Younsheng and L. Ji (1992)
have used the sensitivity analysis in shape optimization design for pressure
vessels. Dome profile design equations for polymeric composite pressure
vessels were given by M.Hojjati et al. (1995). Chen et al. (1996) studied the
stress concentration at the round comers of flat heads in pressure vessels
subjected to internal pressure. The effect of localized plastic deformation in the
dome especially at the knuckle region was studied by J.Blachut (1997) and
Kalnins et al. (1998). Lei Zhu and J.T. Boyle (2000) have given a brief
overview of the optimal shapes for axisymmetric pressure vessels.
1.2.4 Studies on Winding Process Optimization
Many studies were reported on the filament winding process in an
effort to optimize the process variables and most of these studies were carried
out on composite tubes and pipes.
Several analytical models have been developed in recent years to
model the winding process. Lee et al. (1982) were the first to develop a fiber
16
motion model, namely sequential compaction, in which consolidation is
assumed to take place beginning with the outermost layer. The fiber
consolidation model described how the wound layers were influenced by the
external compaction pressure when a new layer was wound onto the surface of
existing layers. Dave (1987) and Gutowski (1987) have proposed a ‘squeezed
sponge’ model. In this model, compaction was not sequential and the applied
pressure was shared by both the fiber bed and resin.
Cai et al. (1992) described a fiber motion model that combined
Darcy’s flow and nonlinear spring compaction. They have concluded that the
deformation of the fiber bed defined the final cylinder dimensions and that the
fiber bed stiffness was a function of the fiber volume fraction. Susan C. Mantell
et al. (1994) has summarized the different filament winding process models.
These models have been developed for the general case of filament winding and
found to provide good results for prepreg winding than wet winding.
The influence of fiber waviness on the mechanical properties of
unidirectional fiber composites was reviewed by M.R.Piggot, (1995). Hung-
Chung Chen and Shu-Min Chiao, (1996) have used the undulating channel
model for fiber consolidation in the filament winding process. G.J.Dvorak
(1996) has derived analytical expressions for the stresses due to winding
tension using the three dimensional elasticity approach. He has considered the
mandrel as another layer with its thickness and the isotropic elastic properties.
D.Cohen (1997) has studied the influence of filament winding
parameters on composite pressure vessel strength. This study was done
primarily for rocket motor casing using the design of experiments (DOE)
approach.
17
Analytical and experimental study of fiber motion in wet filament
winding was done for the general case of filament winding by Banerji et al.
(1998). A.S.Hadi and J.N.Ashton (1998) have studied the influence of pre
stress on the mechanical properties of unidirectional composites. The influence
of winding patterns on the damage behaviour was analyzed by Rousseau
(1999). Liyang Zhao et al.(2001) has attempted to model the winding process
using finite element approach.
1.2.5 Life Prediction Studies
Safety considerations impose severe testing conditions for composite
CNG cylinders before approved for commercial use. Composite cylinders are
subjected to full-scale burst testing and fatigue testing to assess the long-term
durability under simulated service conditions. Considering that the cylinder is
subjected to two repressurizations (refueling) a day, 18,000 cycles are
experienced by the cylinder during its expected life of 15 years. Such a frequent
refueling cycle is found to be typical for a taxi.
The fatigue life of the reinforcing fibers is much higher than fatigue
life of steel or aluminium liners (Anthony Kelly et al., 2000). The fatigue
characteristics of composites are different in many respects from those of
metals. The fatigue damage in FRP tends to be progressive and extends
throughout the stressed region of the material. The progressive manner of the
failure of composite material can be broadly classified as debonding, resin
cracking and delamination (Owen and Duke, 1987). Composites can absorb
more energy before failure. The comparative fatigue behaviour of composites
and metals (Salkind, 1972) is shown in Fig. 1.5.
18
Fatigue Cycles ----------- p-
Fig. 1.5 Comparative Fatigue Behaviour of Composites and Metals
Some recent studies pertaining to the failure and life prediction of
pressure vessels are given hereunder.
X.B. Lin (1998) studied the fatigue growth prediction of internal
surface cracks in pressure vessels. The burst behaviour of a welded pressure
vessel was studied by G.S. Bhuyan et al. (1999). ‘Leak-Before-Break’ failure
mode was described by Gery Wilkowski, (2000). W.X.Yao and N.Himmal,
(2000) have given a new cumulative fatigue damage model for fiber reinforced
plastics. S.Michael Spotswood and Anthony N. Palazotto (2001) have given a
progressive failure analysis of a composite shell. Christos C. Chamis and Levon
Minnetyan (2001) have analyzed the Defect/Damage tolerance of pressurized
fiber composite shells.
Dam
age S
ize --------
-►
19
1.3 SCOPE AND OBJECTIVES OF THE THESIS
From the literature review, it can be observed that the previous studies
concentrated on aluminium lined carbon composite cylinders. Previous
analytical studies reported for steel with glassfiber composite overwrap were
relevant to non-autofrettaged composite tubes and cylinders and the analyses
have not addressed combined autofrettage and low cycle fatigue. The
performance characteristics of steel as liner in composite cylinders are quite
different from aluminium liners. Due to its high strength and high modulus, it
becomes necessary to take into account the fracture toughness characteristics of
steel also to meet the fatigue life of liner. Hence, there is a strong need for
theoretical and experimental research studies for developing glassfiber
reinforced composite CNG cylinders with steel liners.
Two other aspects that generated considerable interest during the
literature review are the winding parameter optimization and the effect of
winding and curing at the metal-composite interface. A winding parameter
optimization study reported by D.Cohen (1997) for rocket motor casing used
the conventional design of experiments (DOE) approach and the results were
found to have a wide range. Also, the selected parameters were more relevant to
the winding of rocket motor casing. Hence, a need was recognized for winding
parameter optimization study for the cylinder using a better experimental design
technique.
With regard to the winding and curing effect at the liner-composite
interface, most of the previous studies have assumed a perfect interface between
all layers including liner-composite interface. Though, a previous study on
metal lined composite cylinder by J.M.Lifshitz et al., (1995) has predicted an
20
interfacial clearance at the end of curing, the analysis has not accounted the
total effect of winding and curing. Hence, it is planned to study the winding and
curing effect at liner-composite interface in order to account for the major
autofrettage prestrain effects. Based on the above discussion, the objectives of
the present research work are listed below:
1. Development of analytical formulation incorporating the plastic yielding
of liner and fracture mechanics based fatigue life design of steel lined
glassfiber epoxy composite cylinders.
2. Development of a computer program based on the analytical formulation
to compute the stresses and strains in liner and composite in the hoop
and longitudinal directions for various pressurizing conditions such as
zero pressure (after autofrettage), service pressure and burst pressure.
3. Winding parameter optimization studies for the composite cylinder using
the ‘Taguchi Experimental Design Technique’: Taguchi technique is a
recent experimental design method increasingly being used for discrete
process optimization and is employed for the filament winding parameter
optimization in the present investigation.
4. Autofrettaging and prestrain evaluation studies: Experimental studies are
planned to evaluate the autofrettaging effect on the residual stress
development in the liner. Experimental studies are also planned to
evaluate the prestrain induced in the liner due to winding.
5. Performance evaluation studies by subjecting the prototype cylinders to
burst testing, cyclic testing, drop testing and bonfire testing and to carry
out failure analysis based on the failure pattern of the tested cylinders.