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Tanzeem ul Hasan1
, Raisuddin Ansari / International Journal of Engineering Research and
Applications (IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587
580 | P a g e
Study of the Impact Response of Glass Fiber Reinforced
Aluminium Laminates for Conical and Blunt Nose Projectiles
Tanzeem ul Hasan1
, Raisuddin Ansari2
1, 2
Department of Mechanical Engg. , ZHCET, Aligarh Muslim University, Aligarh, India
ABSTRACT
It is known that fiber metal laminates
(FML) as one of hybrid materials with thin metal
sheets and fiber/epoxy layers have the
characteristics of the excellent damage tolerance,
fatigue and impact properties with a relatively low
density. Therefore, the mechanical components
using FML can contribute the enhanced safety
level of the sound construction toward the whole
body. In the present study, the impact
performance of glass fibers reinforced aluminum
laminates (GFRAL) is investigated by experiments
and numerical simulations. Impact tests are
carried out with the blunt and conical nose
projectiles of mass 29 g within sub ordnance
velocity range (50-150 m/s). Two different
thicknesses viz. 2.6 mm and 3.1 mm are
impacted. Dynamic non-linear transient analyses
are also accomplished using finite element analysis
software, ABAQUS.
Results show higher ballistic limit for conical nose
projectile compared to blunt nose. Also, failure
mode in case of conical nose projectile impact is
petalling with localized delamination of the
GFRAL specimen. In case of blunt nose projectile
impact plugs are sheared off from front
(aluminium) plate and middle (GFRP) plate. One
thing is common in failure modes by both conical
and blunt nose projectiles, delamination of GFRP
plate in itself.
Keywords - Impact Performance, Fiber Metal
Laminates (FML), Glass Fiber Reinforced
Aluminium Laminates (GFRAL), Sub Ordnance
Range, Numerical Simulation.
I. Introduction
Weight reduction and improved damage
tolerance characteristics were the prime drivers to
develop new family of materials for the
aerospace/aeronautical industry. For this objective,
new lightweight fiber metal laminates (FML) has
been developed. The combination of metal and
polymer composite laminates can create a synergistic
effect on many properties. The mechanical properties
of FML show improvements over the properties of
both metal alloys and composite materials
individually. Strength of FML depends upon type of
fiber (viz. carbon fiber, glass fiber etc.), the used
metal and various other factors viz. fiber architecture,
weaving quality and the resin.
High stiffness of fibers allows for good efficient
crack bridging and therefore very low crack growth
rates. At the same time, the presence of a metal layer
is very favorable for the impact properties. The
combination of high stiffness and strength with good
impact property gives FML a great advantage for
space applications.
Recent advances using composite in modern
aircraft constructions were reviewed and carbon
fibers were particularly argued in terms of design,
manufacturing by Soutis [1]. He summarized that
because of significant weight savings, carbon fiber
reinforced composites are to be utilized for future
aircraft construction. For secondary structures,
weight reduction up to 40% is feasible by using
composites instead of light weight metal alloys, while
for primary structures, such as wings and fuselages,
20% or more is realistic. Advancement in fabric
engineering and emergence of new type of
reinforcement has resulted in new form of composite
materials with higher performance characteristics.
Utilization of these reinforcement solely or in
combination for impact application requires detail
understanding of their response towards impact
loading. A significant amount of work [2-4] has
already been published on polymer composite
structures under high velocity impact, different
aspects have been reviewed Cuniff [5] observed that
loosely woven fabrics and fabrics with unbalanced
weaves result in inferior ballistic performance. Kim
and Sham [6] showed that cross woven fabric
composites exhibits higher fracture toughness as
compared to unidirectional laminates under high
velocity impact.P. Soltani, M. Keikhosravy et. al.
investigated the tensile behaviour of glass fiber
reinforced aluminium laminates (GLARE) [7]. They
recommended use of composite laminates with fibers
aligned to load directions. Alireza et. al. [8]
investigated the effect of reinforcement type on high
velocity impact response of GFRP in velocity range
of 80-160 m/s. Five different types of reinforcements
are investigated viz. chopped strand mat (CSM),
plain weave, satin weave, unidirectional and cross ply
unidirectional. For the specimens of thickness 3 mm,
highest ballistic limit was found for cross ply (95
m/s) UD layup followed by UD and satin weave
(86.4 m/s). In case of 6 mm thickness specimens,
highest ballistic limit was found for plain weave type
(146 m/s) followed by CSM (140 m/s. S.H. Song et.
al. [9] carried out drop impact test and numerical
Tanzeem ul Hasan1
, Raisuddin Ansari / International Journal of Engineering Research and
Applications (IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587
581 | P a g e
modeling on CARAL (carbon fiber reinforced
aluminium laminates). Two layers of CFRP
(thickness 0.2 mm each) were laminated in between
three layers of aluminium of thickness 0.5 mm each.
Impact energy levels 2.35 J and 9.40 J. The specimen
showed no critical damage area at 2.35 J, but in case
of 9.40 J it showes fiber and matrix cracking in CFRP
layers. In the present study, the impact performance
of glass fibers reinforced aluminum laminates
(GFRAL) is investigated by experiments and
numerical simulations. Impact tests are carried out
with the blunt and conical nose projectiles of mass 29
g within sub ordnance velocity range (50-150 m/s).
Two different thicknesses of 255 mm circular plates
viz. 2.6 mm and 3.1 mm are impacted. Dynamic non-
linear transient analyses are also accomplished using
finite element analysis software, ABAQUS. The
experiment results and numerical results are
compared.
II. Experimental Analysis
Impact tests are carried out on pneumatic
impactor shown in Fig. 3, embedded with velocity
measuring devices e.g. velocity sensors, oscilloscope
and DC supply etc.
Material and Projectiles
GFRAL specimens were made by
laminating cross woven (00
and 900
) E glass/epoxy
(GFRP) with pure commercial aluminum Fig. 1.
Adhesive films of ARALDITE were inserted
in between the interfaces of GFRP and aluminum
sheets to laminate them. Before laminating the sheets,
interfaces are washed with acetone in order to
remove any oil film to ensure flawless bonding. After
laminating, the sheets are cured under constant
pressure for about 30 hours at room temperature.
The GFRAL is made in two thicknesses viz.
2.6 mm and 3.1 mm, by laminating two different
thicknesses of GFRP viz. 1 mm and 1.5 mm and
keeping thickness of the front and rear aluminium
plates 0.8 mm. The diameter of the GFRAL equals
255 mm having eight holes of 8 mm diameter
arranged on a 230 mm pitch circle diameter in order
to clamp the target by means of two circular holding
rings.
Fig. 1 The GFRAL Layup
Fig. 2 The Blunt and Conical Nose Projectiles Used
in the Study.
Two solid projectiles of different nose
shapes i.e. conical (45o
nose angle) and blunt nose,
both having a mass of 29 g and 12.8 mm
diameter, are used in the present study (Fig. 3). The
projectiles are made of EN-24 steel, manufactured on
a lathe machine. Impact tests are carried out by
varying the impact velocity.
III. Numerical Simulation Using ABAQUS
3.1 Damage Initiation Criteria for Auminium
To simulate the impact test, a damage model
is essential to predict the onset of damage in
aluminium and GFRP plates. To predict damage in
aluminum an elasto-viscoplastic material model
presented by Johnson and Cook was employed [10,
16]. The Johnson and Cook model is the product of
three material characteristics namely, strain
hardening, strain rate hardening and temperature
softening and is expressed as:
𝜎𝑦𝑖𝑒𝑙𝑑 = 𝐴 + 𝐵 𝜀 𝑝 𝑛
1 + 𝐶 ln 𝜀∗
1 + 𝑇∗ 𝑚
(1)
Where A, B, n, C, m are material parameters
measured at or below the transition temperature,𝜀 𝑝
is
the equivalent plastic strain,𝜖∗
is the ratio of
equivalent plastic strain rate and reference strain rate,
T* is the non-dimensional temperature defined below
as:
𝑇∗
=
𝑇−𝑇𝑟𝑜𝑜𝑚
𝑇 𝑚𝑒𝑙𝑡 −𝑇𝑟𝑜𝑜𝑚
(2)
Where T is the current temperature, Tmelt is the
melting temperature and Ttransition is the transition
temperature defined as the one at or below which
there is no temperature dependence on the expression
of the yield stress. The material parameters must be
measured at or below the transition temperature.
When T>Tmelt, the material will be melted and will
behave like a fluid; there will be no shear resistance
since σo=0:
𝜎𝑦𝑖𝑒𝑙𝑑 = 𝐴 + 𝐵 𝜀 𝑝 𝑛
1 + 𝑇∗ 𝑚
(3)
Where σo is the static yield stress. In the modelling
these parameters are used from the literature [11].
Johnson and Cook Dynamic Failure Criteria
The Johnson and Cook dynamic failure
model is based on the value of equivalent plastic
Aluminium
GFRP
Aluminium
Aluminium
Tanzeem ul Hasan1
, Raisuddin Ansari / International Journal of Engineering Research and
Applications (IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587
582 | P a g e
strain at element integration points; failure is
assumed to occur when the damage parameter
exceeds 1. The damage parameter, D, is defined as:
𝐷 =
∆𝜀 𝑝𝑙
𝜀 𝑓
𝑝𝑙 (4)
Where ∆𝜀 𝑝𝑙
an increment of the equivalent plastic
strain is, 𝜀𝑓
𝑝𝑙
is the strain at failure and the summation
is performed over all increments of the analysis. The
strain at failure 𝜀𝑓
𝑝𝑙
is assumed to be dependent on a
non-dimensional plastic strain rate, 𝜀∗
; a
dimensionless pressure deviatoric stress ratio or the
stress triaxiality ratio, 𝜎∗
and the non-dimensional
temperature, 𝑇∗
as:
𝜀𝑓
𝑝𝑙
= 𝐷1 + 𝐷2 𝑒(𝐷3 𝜎∗)
1 + D4ln( 𝜀∗
] 1 + 𝐷5 𝑇∗
(5)
Where D1-D5 are failure parameters
measured at or below the transition temperature and
𝜀∗
is the reference strain rate. The first set of brackets
in the Johnson and Cook damage criteria is intended
to represent the observation that the strain to fracture
decreases as hydrostatic tension increases. The
second bracket represents the effect of strain rate on
material ductility, while the third bracket gives the
effect of thermal softening on material ductility.
The values of above parameters have been taken
from [11].
3.2 Damage Initiation Criteria for GFRP
To simulate the damage in GFRP an elastic-
brittle materials with anisotropic behavior is
employed. The implemented model uses the Hashin
damage initiation criteria [12]. This criteria consider
four different damage initiation mechanisms: fiber te
ns-ion, fiber compression, matrix tension and matrix
compression. The initiation criteria have the
following general forms:
Fiber tension (𝜎11 ≥ 0):
𝐹𝑓
𝑡
=
𝜎11
𝑋 𝑇
2
+ ∝
𝜏12
𝑆 𝐿
2
Fiber compression (𝜎11 < 0):
𝐹𝑚
𝑐
=
𝜎11
𝑋 𝐶
2
Matrix tension (𝜎22 ≥ 0 ):
𝐹𝑚
𝑡
=
𝜎22
𝑌 𝑇
2
+
𝜏12
𝑆 𝐿
2
Matrix compression (𝜎22 < 0):
𝐹𝑚
𝑐
=
𝜎22
2𝑆 𝑇
2
+
𝑌 𝐶
2𝑆 𝑇
2
− 1
𝜎22
𝑌 𝐶 +
𝜏12
𝑆 𝐿
2
(6)
Where 𝑿 𝑻
is the longitudinal tensile
strength, 𝑿 𝑪
is the longitudinal compressive strength,
𝒀 𝑻
is the transverse tensile strength, 𝒀 𝑪
is the
transverse compressive strength, 𝑺 𝑳
is the
longitudinal shear strength, 𝑺 𝑻
is the transverse shear
strength shear strength, and 𝜶 is a coefficient that
determines the contribution of the shear stress to the
fiber tensile initiation criterion, respectively. And
𝝈 𝟏𝟏 , 𝝈 𝟐𝟐 , 𝝉 𝟏𝟐 are components of the effective stress
tensor, 𝝈 . These values are used from the literature
[13] .
3.3 Finite Element Anlysis
A 2D- axisymmetric model is created (due
to symmetry) with ABAQUS/ Explicit. The target
Plate (GFRAL) is modelled as deformable part. The
projectiles are modelled as analytical rigid parts and
no property is assigned except the mass and initial
velocity to the reference point. Cohesive interaction
is given in between the interfaces of middle GFRP
plate and upper and lower aluminium plates. Surface
to surface contact is given between the projectile and
the plate. Penalty contact algorithm was employed in
the mechanical constraint formulation with projectile
as the master surface and plate as node based slave
surface with coefficient of friction 0.05.
IV. Results and Discussion
4.1 Failure Mode and Deformation of the Plate
In case of conical nose projectile GFRAL
fails are petalling accompanied with local
delamination of the member plates viz. alminium-
gfrp-aluminium plates – as shown in Fig. 4 (a). The
GFRAL specimen is delaminated in nearby region of
impact zone. . The GFRP gets delaminated in itself
along the fault interfaces introduced during
manufacturing [15].
In case of blunt nose projectile plugging are
dominant mode of failure in case of blunt nose
projectile. A clear cut plug is sheared off from the
front aluminium plate and GFRP plate. The plug of
the GFRP gets splitted into layers. A plug get sheared
off from the rear aluminium plate but remains
attached to the plate as shown in Fig. 4 (b).
Figure 5 (a) and (b) shows the
deformation of the plate for both the thicknesses.
Deformation is more in 2.6 mm thick GFRAL for
both the projectiles (about 20 mm) compared to 3.1
mm thickness (13 mm). Also there is no significant
effect of nose shape on deformation. Also
deformation area decreases little bit at higher impact
velocity.
Tanzeem ul Hasan1
, Raisuddin Ansari / International Journal of Engineering Research and
Applications (IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587
583 | P a g e
Fig. 3 Schematic Diagram of the Experimental Setup.
(a) (b)
Fig. 4 Failure of GFRAL by (a) Conical and (b) Blunt Nose Projectiles.
(a) (b)
Fig. 5 Deformation of the Plate.
0
5
10
15
20
25
0 50 100 150
Deflection(mm)
Distance from Center (mm)
Conical
Plate 3.1 mm, 121 m/s
Plate 2.6 mm, 122 m/s
0
5
10
15
20
0 50 100 150
Deflection(mm)
Distance from Center (mm)
Blunt
Plate 3.1 mm, 75 m/s
Plate 2.6 mm,79 m/s
Petalling in
GFRP with
splits along the
thickness Petalling in
front
aluminum
plate
Petalling in
Rear
Aluminum
Plate
Separated
plug of
front
aluminum
plate
Attached,
sheared off
plug of rear
aluminum
plate
Delaminated,
sheared off
plug of GFRP
Plate
Tanzeem ul Hasan1
, Raisuddin Ansari / International Journal of Engineering Research and
Applications (IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587
584 | P a g e
(a) (b)
Fig. 6 Variation of Residual Velocity with Impact Velocity for both the Thicknesses.
4.2 Ballistics Performance of the GFRAL
Ballistic limit and effect of nose shape on
residual velocity and energy absorbed is studied for
the GFRAL. Figure 6 (a) and (b) shows the
variation of residual velocity for both the
thicknesses. Residual velocity if found more for
blunt nose projectile as compared to the
conical nose projectile.
At higher impact velocity, residual velocity
is more for conical nose projectile. Also increase in
residual velocity is more rapid than the blunt nose
projectile.
(a) (b)
Fig. 7 Variation of Energy Absorbed with Impact Energy.
Figure 7 shows the energy absorption results
of the specimen. In case of 2.6 mm thickness, energy
absorption is higher for conical and this is more
evident at low impact velocity. At higher impact
velocity, this difference of energy absorption between
conical and blunt nose projectiles decreases. In case
of 3.1 mm thickness, energy absorption is higher for
conical nose projectile at lower impact velocity and
drops down the blunt nose at higher impact velocity.
From the above results it has been observed
during projectile-plate impacts that the nose shape of
the projectile used changes the energy absorbed, the
failure mode and the ballistic limit. Energy
absorption is higher for conical nose projectile than
blunt nose projectile at impact velocity smaller than
0
10
20
30
40
50
60
70
80
50 70 90 110 130
ResidualVelocity(m/s)
Impact Velocity (m/s)
t= 2.6 mm
Blunt-Experimental
Conical-Experimental
Blunt-Numerical
Conical-Numerical
0
10
20
30
40
50
60
70
80
90
70 90 110 130
ResidualVelocity(m/s)
Impact Velocity (m/s)
t = 3.1 mm
Blunt-Experimental
Conical-Experimental
Blunt-Numerical
Conical-Numerical
0
40
80
120
160
200
70 110 150 190 230
EnergyAbsorbed(J)
Impact Energy (J)
t = 2.6 mm
Blunt-Experimental
Conical-Experimental
Blunt-Numerical
Conical-Numerical
0
40
80
120
160
70 110 150 190 230
EnergyAbsorbed(J)
Impact Energy (J)
t = 3.1 mm
Blunt-Experimental
Conical-Experimental
Blunt-Numerical
Conical-Numerical
Tanzeem ul Hasan1
, Raisuddin Ansari / International Journal of Engineering Research and
Applications (IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587
585 | P a g e
110 m/s. At impact velocity higher than110 m/s, the
energy absorption for conical nose projectile
decreases rapidly. At these higher impact velocities,
the energy absorbed for conical nose projectile is
lower than that of the blunt nose.
Figure 8 shows the effect of target thickness
on residual velocity. It can be observed for both
the projectiles, residual velocity decreases as
target thickness increases. For conical nose project-
ile (a), the difference between the residual velocities
for both the thicknesses decreases as impact velocity
increases. But in case of blunt nose projectile, this
difference is almost constant (b).
Figure 9 shows the effect of target thickness
on energy absorption for conical nose and blunt nose
projectiles. The graphs depict energy absorption
increases with increases in target thickness. For
conical nose projectile (a) the difference in energy
absorption is higher at low impact velocities and
reduces at higher impact velocities. But in case of
blunt nose projectile this difference increases as
impact velocity increases (b).
Ballistic Limit
Table 1 shows the experimental and numerical
ballistic limits for different combinations. Ballistic
limit is high for conical nose projectile as compared
to the blunt nose projectile for both the thicknesses. It
shows that conical nose projectile experiences more
resistance in passing through GFRAL plate.
The ballistic limit increases as thickness of the target
GFRAL increases for both the projectiles. Increases
in ballistic limit with thickness for both the
projectiles is almost at same rate i.e. there is no rapid
increase in ballistic limit as thickness increases from
2.6 mm to 3.1 mm.
(a) (b)
Fig. 8 Effect of Target Thickness on Residual Velocity.
(a) (b)
Fig. 9 Effect of Target Thickness on Energy Absorption.
0
10
20
30
40
50
60
70
80
90
80 90 100 110 120 130 140
ResidualVelocity(m/s)
Impact velocity (m/s)
Conical
3.1 mm-Experimental
2.6 mm-Experimental
3.1 mm-Numerical
2.6 mm-Numerical
0
10
20
30
40
50
60
70
80
70 90 110 130
ResidualVelocity(m/s)
Impact Velocity (m/s)
Blunt
3.1 mm-Experimental
2.6 mm-Experimental
3.1 mm-Numerical
2.6 mm-Numerical
0
40
80
120
160
200
100 120 140 160 180 200
EnergyAbsorbed(J)
Impact Energy (J)
Conical
3.1 mm-Experimental
2.6 mm-Experimental
3.1 mm-Numerical
2.6 mm-Numerical
0
40
80
120
160
200
80 100 120 140 160 180 200
EnergyAbsorbed(J)
Impact Energy (J))
Blunt
2.6 mm, Experimental
3.1 mm, Experimental
2.6 mm-Numerical
3.1mm-Numerical
Tanzeem ul Hasan1
, Raisuddin Ansari / International Journal of Engineering Research and
Applications (IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587
586 | P a g e
Table 5.1 Ballistic Limit for Blunt and Conical Nose Projectiles.
S.
No. Plate Thickness
(mm)
Ballistic Limit for Blunt Nose
Projectile (m/s)
Ballistic Limit for Conical Nose
Projectile (m/s)
Experimental Numerical Experimental Numerical
1 2.6 67.7 68.5 79.72 78
2 3.1 74.8 76.7 89.8 88.9
V. Conclusion
(a) Failure mode of the composite plate
GFRAL in case of conical nose projectile is petalling
accompanied with localized delamination of the spe-
cimen. Composite plate
gets delaminated in nearby region of the impact
zone. This delamination zone slightly decreases as
impact velocity increases. The GFRP of the composite
plate get delaminated in itself. The GFRP get splitted,
usually, into three (3) pieces along the thickness. This
is due to faults induced in the matrix (resin) during
manufacturing. These faults get delaminated due to
vibrations generated by strucking of the
projectile.Number of petals is equal in middle GFRP
plate and successive rear aluminium plate.
(b) Failure mode of composite plate in case
of blunt nose projectile is shearing of the plate. A
clear cut plug is obtained from the front aluminium
plate and middle GFRP plate. The plug obtained from
the GFRP plate was splitted into three pieces along
the thickness.Failure of the rear aluminium plate is
somewhat combination of petalling and shearing. The
plug formed but did not get separated from the plate
and in half the region, petals formation occurs.
(c) Ballistic limit for both the thickness is
found more for conical nose projectile (89.8 m/s and
79.2 m/s) as compared to the blunt nose projectile
(74.75 m/s and 67.65 m/s) (Fig.7). Blunt nose
projectile is found to be the better penetrator as
compared to conical nose projectile i.e. blunt nose
projectile requires less impact energy to penetrate the
target.
So, the composite plate (GFRAL) exhibits more
resistance to the conical nose projectile as compared
to the blunt nose projectile.
(d) The deformation of plate 2.6 mm
thickness is more (about 20 mm) as compared to 3.1
mm thickness (about 13 mm) for both the projectiles.
References
Journal Papers:
[1] C. Soutis, Fiber reinforced composites in
aircraft constructions. Prog Aerosp Sci, 41,
2005, 141- 151.
[2] S. Abrate, Impact on laminated composites,
recent advances in materials, Appl Mech Rev,
47(11),1994, 517-543.
[3] XL. Gao, JQ. Zheng, NV. David, Ballistic
resistance body armour : contemporary and
prospective materials and related protection
mechanism. Apple Mech Rev, 2009,
62.05802 – 1- 05082-20.
[4] BA. Cheesman, TA Bogetti, Ballistic impact
into fabric and compliant composite
laminates, Compos Struct, 61, 2003, 16 –73.
[5] PM Cuniff, An analysis of the system effects
in woven fabrics under ballistic impact.
Text Res J, 69 (9), 1992, 495-509.
[6] JK. Kim, ML. Sham, Impact and
delamination failure of woven fabric
composites., Compos Sci Techl, 60 (5), 2000,
745-61.
[7] P. Soltani, M. Kiekhohsravy, RH
Oskouei, C Soutis, Studying the tensile
behaviour of GLARE laminates – A finite
element approach. Appl Compos Mater, 18,
2011, 271-282.
[8] S. Alireza, F. Nargis, MH. Baheshty, Effect
of reinforcement type on high velocity
impact response of GRP plates using a sharp
tip projectile. Int J Impact Eng, 38, 2011,
715-722.
[9] SH. Song, YS. Byun, TW. Ku, Experimental
and numerical investigation on impact
performance of carbon fiber reinforced
aluminium laminate (CARAL), JMST, 26
(4), 2010, 327-332.
[10] Johnson GR, Cook WH. Fracture
characteristics of three metals subjected
to various strain, strain rates,
temperatures and pressures. Eng Fract
Mech, 21, 1985, 31-48.
[11] NK. Gupta, MA. Iqbal, GA. Sekhon,
Experimental and numerical studies on the
Tanzeem ul Hasan1
, Raisuddin Ansari / International Journal of Engineering Research and
Applications (IJERA) ISSN: 2248-9622 www.ijera.com
Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587
587 | P a g e
behavior of thin aluminum plates subjected
to impact by blunt and hemispherical nose
projectiles. Int J Imp Eng, 32, 2006, 1921-
1944.
[12] Z. Hashin, A. Rotem, Fatigue criterion for
fiber-reinforced materials. Compos Mater, 7,
1973, 448-64.
[13] C. Menna, D. Aspron, G. Caprino, G.
Lopresto, A. Prota, Numerical simulation of
impact tests on GFRP composite laminates.
Int J Impact Eng, 38, 2011, 677-685.
Books:
[14] ABAQUS Analysis User’s Manual, 2010.
Version 6.10.
Theses:
[15] KP. Subrat, U. Paritosh, Failure
characterization of FRP failure by scanning
electron microscope technique. B. Tech.
Thesis, , Department of Metallurgical and
Materials Engineering, National Institute of
Technology, Rourkela. India. 2008.
Proceedings Papers:
[16] GR. Johnson, WH. Cook, A constitutive
model and data for metals subjected to large
strains, high strain rates and high
temperatures. In: Proceedings of the seventh
international symposium on ballistics, The
Hague. 1983

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  • 1. Tanzeem ul Hasan1 , Raisuddin Ansari / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587 580 | P a g e Study of the Impact Response of Glass Fiber Reinforced Aluminium Laminates for Conical and Blunt Nose Projectiles Tanzeem ul Hasan1 , Raisuddin Ansari2 1, 2 Department of Mechanical Engg. , ZHCET, Aligarh Muslim University, Aligarh, India ABSTRACT It is known that fiber metal laminates (FML) as one of hybrid materials with thin metal sheets and fiber/epoxy layers have the characteristics of the excellent damage tolerance, fatigue and impact properties with a relatively low density. Therefore, the mechanical components using FML can contribute the enhanced safety level of the sound construction toward the whole body. In the present study, the impact performance of glass fibers reinforced aluminum laminates (GFRAL) is investigated by experiments and numerical simulations. Impact tests are carried out with the blunt and conical nose projectiles of mass 29 g within sub ordnance velocity range (50-150 m/s). Two different thicknesses viz. 2.6 mm and 3.1 mm are impacted. Dynamic non-linear transient analyses are also accomplished using finite element analysis software, ABAQUS. Results show higher ballistic limit for conical nose projectile compared to blunt nose. Also, failure mode in case of conical nose projectile impact is petalling with localized delamination of the GFRAL specimen. In case of blunt nose projectile impact plugs are sheared off from front (aluminium) plate and middle (GFRP) plate. One thing is common in failure modes by both conical and blunt nose projectiles, delamination of GFRP plate in itself. Keywords - Impact Performance, Fiber Metal Laminates (FML), Glass Fiber Reinforced Aluminium Laminates (GFRAL), Sub Ordnance Range, Numerical Simulation. I. Introduction Weight reduction and improved damage tolerance characteristics were the prime drivers to develop new family of materials for the aerospace/aeronautical industry. For this objective, new lightweight fiber metal laminates (FML) has been developed. The combination of metal and polymer composite laminates can create a synergistic effect on many properties. The mechanical properties of FML show improvements over the properties of both metal alloys and composite materials individually. Strength of FML depends upon type of fiber (viz. carbon fiber, glass fiber etc.), the used metal and various other factors viz. fiber architecture, weaving quality and the resin. High stiffness of fibers allows for good efficient crack bridging and therefore very low crack growth rates. At the same time, the presence of a metal layer is very favorable for the impact properties. The combination of high stiffness and strength with good impact property gives FML a great advantage for space applications. Recent advances using composite in modern aircraft constructions were reviewed and carbon fibers were particularly argued in terms of design, manufacturing by Soutis [1]. He summarized that because of significant weight savings, carbon fiber reinforced composites are to be utilized for future aircraft construction. For secondary structures, weight reduction up to 40% is feasible by using composites instead of light weight metal alloys, while for primary structures, such as wings and fuselages, 20% or more is realistic. Advancement in fabric engineering and emergence of new type of reinforcement has resulted in new form of composite materials with higher performance characteristics. Utilization of these reinforcement solely or in combination for impact application requires detail understanding of their response towards impact loading. A significant amount of work [2-4] has already been published on polymer composite structures under high velocity impact, different aspects have been reviewed Cuniff [5] observed that loosely woven fabrics and fabrics with unbalanced weaves result in inferior ballistic performance. Kim and Sham [6] showed that cross woven fabric composites exhibits higher fracture toughness as compared to unidirectional laminates under high velocity impact.P. Soltani, M. Keikhosravy et. al. investigated the tensile behaviour of glass fiber reinforced aluminium laminates (GLARE) [7]. They recommended use of composite laminates with fibers aligned to load directions. Alireza et. al. [8] investigated the effect of reinforcement type on high velocity impact response of GFRP in velocity range of 80-160 m/s. Five different types of reinforcements are investigated viz. chopped strand mat (CSM), plain weave, satin weave, unidirectional and cross ply unidirectional. For the specimens of thickness 3 mm, highest ballistic limit was found for cross ply (95 m/s) UD layup followed by UD and satin weave (86.4 m/s). In case of 6 mm thickness specimens, highest ballistic limit was found for plain weave type (146 m/s) followed by CSM (140 m/s. S.H. Song et. al. [9] carried out drop impact test and numerical
  • 2. Tanzeem ul Hasan1 , Raisuddin Ansari / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587 581 | P a g e modeling on CARAL (carbon fiber reinforced aluminium laminates). Two layers of CFRP (thickness 0.2 mm each) were laminated in between three layers of aluminium of thickness 0.5 mm each. Impact energy levels 2.35 J and 9.40 J. The specimen showed no critical damage area at 2.35 J, but in case of 9.40 J it showes fiber and matrix cracking in CFRP layers. In the present study, the impact performance of glass fibers reinforced aluminum laminates (GFRAL) is investigated by experiments and numerical simulations. Impact tests are carried out with the blunt and conical nose projectiles of mass 29 g within sub ordnance velocity range (50-150 m/s). Two different thicknesses of 255 mm circular plates viz. 2.6 mm and 3.1 mm are impacted. Dynamic non- linear transient analyses are also accomplished using finite element analysis software, ABAQUS. The experiment results and numerical results are compared. II. Experimental Analysis Impact tests are carried out on pneumatic impactor shown in Fig. 3, embedded with velocity measuring devices e.g. velocity sensors, oscilloscope and DC supply etc. Material and Projectiles GFRAL specimens were made by laminating cross woven (00 and 900 ) E glass/epoxy (GFRP) with pure commercial aluminum Fig. 1. Adhesive films of ARALDITE were inserted in between the interfaces of GFRP and aluminum sheets to laminate them. Before laminating the sheets, interfaces are washed with acetone in order to remove any oil film to ensure flawless bonding. After laminating, the sheets are cured under constant pressure for about 30 hours at room temperature. The GFRAL is made in two thicknesses viz. 2.6 mm and 3.1 mm, by laminating two different thicknesses of GFRP viz. 1 mm and 1.5 mm and keeping thickness of the front and rear aluminium plates 0.8 mm. The diameter of the GFRAL equals 255 mm having eight holes of 8 mm diameter arranged on a 230 mm pitch circle diameter in order to clamp the target by means of two circular holding rings. Fig. 1 The GFRAL Layup Fig. 2 The Blunt and Conical Nose Projectiles Used in the Study. Two solid projectiles of different nose shapes i.e. conical (45o nose angle) and blunt nose, both having a mass of 29 g and 12.8 mm diameter, are used in the present study (Fig. 3). The projectiles are made of EN-24 steel, manufactured on a lathe machine. Impact tests are carried out by varying the impact velocity. III. Numerical Simulation Using ABAQUS 3.1 Damage Initiation Criteria for Auminium To simulate the impact test, a damage model is essential to predict the onset of damage in aluminium and GFRP plates. To predict damage in aluminum an elasto-viscoplastic material model presented by Johnson and Cook was employed [10, 16]. The Johnson and Cook model is the product of three material characteristics namely, strain hardening, strain rate hardening and temperature softening and is expressed as: 𝜎𝑦𝑖𝑒𝑙𝑑 = 𝐴 + 𝐵 𝜀 𝑝 𝑛 1 + 𝐶 ln 𝜀∗ 1 + 𝑇∗ 𝑚 (1) Where A, B, n, C, m are material parameters measured at or below the transition temperature,𝜀 𝑝 is the equivalent plastic strain,𝜖∗ is the ratio of equivalent plastic strain rate and reference strain rate, T* is the non-dimensional temperature defined below as: 𝑇∗ = 𝑇−𝑇𝑟𝑜𝑜𝑚 𝑇 𝑚𝑒𝑙𝑡 −𝑇𝑟𝑜𝑜𝑚 (2) Where T is the current temperature, Tmelt is the melting temperature and Ttransition is the transition temperature defined as the one at or below which there is no temperature dependence on the expression of the yield stress. The material parameters must be measured at or below the transition temperature. When T>Tmelt, the material will be melted and will behave like a fluid; there will be no shear resistance since σo=0: 𝜎𝑦𝑖𝑒𝑙𝑑 = 𝐴 + 𝐵 𝜀 𝑝 𝑛 1 + 𝑇∗ 𝑚 (3) Where σo is the static yield stress. In the modelling these parameters are used from the literature [11]. Johnson and Cook Dynamic Failure Criteria The Johnson and Cook dynamic failure model is based on the value of equivalent plastic Aluminium GFRP Aluminium Aluminium
  • 3. Tanzeem ul Hasan1 , Raisuddin Ansari / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587 582 | P a g e strain at element integration points; failure is assumed to occur when the damage parameter exceeds 1. The damage parameter, D, is defined as: 𝐷 = ∆𝜀 𝑝𝑙 𝜀 𝑓 𝑝𝑙 (4) Where ∆𝜀 𝑝𝑙 an increment of the equivalent plastic strain is, 𝜀𝑓 𝑝𝑙 is the strain at failure and the summation is performed over all increments of the analysis. The strain at failure 𝜀𝑓 𝑝𝑙 is assumed to be dependent on a non-dimensional plastic strain rate, 𝜀∗ ; a dimensionless pressure deviatoric stress ratio or the stress triaxiality ratio, 𝜎∗ and the non-dimensional temperature, 𝑇∗ as: 𝜀𝑓 𝑝𝑙 = 𝐷1 + 𝐷2 𝑒(𝐷3 𝜎∗) 1 + D4ln( 𝜀∗ ] 1 + 𝐷5 𝑇∗ (5) Where D1-D5 are failure parameters measured at or below the transition temperature and 𝜀∗ is the reference strain rate. The first set of brackets in the Johnson and Cook damage criteria is intended to represent the observation that the strain to fracture decreases as hydrostatic tension increases. The second bracket represents the effect of strain rate on material ductility, while the third bracket gives the effect of thermal softening on material ductility. The values of above parameters have been taken from [11]. 3.2 Damage Initiation Criteria for GFRP To simulate the damage in GFRP an elastic- brittle materials with anisotropic behavior is employed. The implemented model uses the Hashin damage initiation criteria [12]. This criteria consider four different damage initiation mechanisms: fiber te ns-ion, fiber compression, matrix tension and matrix compression. The initiation criteria have the following general forms: Fiber tension (𝜎11 ≥ 0): 𝐹𝑓 𝑡 = 𝜎11 𝑋 𝑇 2 + ∝ 𝜏12 𝑆 𝐿 2 Fiber compression (𝜎11 < 0): 𝐹𝑚 𝑐 = 𝜎11 𝑋 𝐶 2 Matrix tension (𝜎22 ≥ 0 ): 𝐹𝑚 𝑡 = 𝜎22 𝑌 𝑇 2 + 𝜏12 𝑆 𝐿 2 Matrix compression (𝜎22 < 0): 𝐹𝑚 𝑐 = 𝜎22 2𝑆 𝑇 2 + 𝑌 𝐶 2𝑆 𝑇 2 − 1 𝜎22 𝑌 𝐶 + 𝜏12 𝑆 𝐿 2 (6) Where 𝑿 𝑻 is the longitudinal tensile strength, 𝑿 𝑪 is the longitudinal compressive strength, 𝒀 𝑻 is the transverse tensile strength, 𝒀 𝑪 is the transverse compressive strength, 𝑺 𝑳 is the longitudinal shear strength, 𝑺 𝑻 is the transverse shear strength shear strength, and 𝜶 is a coefficient that determines the contribution of the shear stress to the fiber tensile initiation criterion, respectively. And 𝝈 𝟏𝟏 , 𝝈 𝟐𝟐 , 𝝉 𝟏𝟐 are components of the effective stress tensor, 𝝈 . These values are used from the literature [13] . 3.3 Finite Element Anlysis A 2D- axisymmetric model is created (due to symmetry) with ABAQUS/ Explicit. The target Plate (GFRAL) is modelled as deformable part. The projectiles are modelled as analytical rigid parts and no property is assigned except the mass and initial velocity to the reference point. Cohesive interaction is given in between the interfaces of middle GFRP plate and upper and lower aluminium plates. Surface to surface contact is given between the projectile and the plate. Penalty contact algorithm was employed in the mechanical constraint formulation with projectile as the master surface and plate as node based slave surface with coefficient of friction 0.05. IV. Results and Discussion 4.1 Failure Mode and Deformation of the Plate In case of conical nose projectile GFRAL fails are petalling accompanied with local delamination of the member plates viz. alminium- gfrp-aluminium plates – as shown in Fig. 4 (a). The GFRAL specimen is delaminated in nearby region of impact zone. . The GFRP gets delaminated in itself along the fault interfaces introduced during manufacturing [15]. In case of blunt nose projectile plugging are dominant mode of failure in case of blunt nose projectile. A clear cut plug is sheared off from the front aluminium plate and GFRP plate. The plug of the GFRP gets splitted into layers. A plug get sheared off from the rear aluminium plate but remains attached to the plate as shown in Fig. 4 (b). Figure 5 (a) and (b) shows the deformation of the plate for both the thicknesses. Deformation is more in 2.6 mm thick GFRAL for both the projectiles (about 20 mm) compared to 3.1 mm thickness (13 mm). Also there is no significant effect of nose shape on deformation. Also deformation area decreases little bit at higher impact velocity.
  • 4. Tanzeem ul Hasan1 , Raisuddin Ansari / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587 583 | P a g e Fig. 3 Schematic Diagram of the Experimental Setup. (a) (b) Fig. 4 Failure of GFRAL by (a) Conical and (b) Blunt Nose Projectiles. (a) (b) Fig. 5 Deformation of the Plate. 0 5 10 15 20 25 0 50 100 150 Deflection(mm) Distance from Center (mm) Conical Plate 3.1 mm, 121 m/s Plate 2.6 mm, 122 m/s 0 5 10 15 20 0 50 100 150 Deflection(mm) Distance from Center (mm) Blunt Plate 3.1 mm, 75 m/s Plate 2.6 mm,79 m/s Petalling in GFRP with splits along the thickness Petalling in front aluminum plate Petalling in Rear Aluminum Plate Separated plug of front aluminum plate Attached, sheared off plug of rear aluminum plate Delaminated, sheared off plug of GFRP Plate
  • 5. Tanzeem ul Hasan1 , Raisuddin Ansari / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587 584 | P a g e (a) (b) Fig. 6 Variation of Residual Velocity with Impact Velocity for both the Thicknesses. 4.2 Ballistics Performance of the GFRAL Ballistic limit and effect of nose shape on residual velocity and energy absorbed is studied for the GFRAL. Figure 6 (a) and (b) shows the variation of residual velocity for both the thicknesses. Residual velocity if found more for blunt nose projectile as compared to the conical nose projectile. At higher impact velocity, residual velocity is more for conical nose projectile. Also increase in residual velocity is more rapid than the blunt nose projectile. (a) (b) Fig. 7 Variation of Energy Absorbed with Impact Energy. Figure 7 shows the energy absorption results of the specimen. In case of 2.6 mm thickness, energy absorption is higher for conical and this is more evident at low impact velocity. At higher impact velocity, this difference of energy absorption between conical and blunt nose projectiles decreases. In case of 3.1 mm thickness, energy absorption is higher for conical nose projectile at lower impact velocity and drops down the blunt nose at higher impact velocity. From the above results it has been observed during projectile-plate impacts that the nose shape of the projectile used changes the energy absorbed, the failure mode and the ballistic limit. Energy absorption is higher for conical nose projectile than blunt nose projectile at impact velocity smaller than 0 10 20 30 40 50 60 70 80 50 70 90 110 130 ResidualVelocity(m/s) Impact Velocity (m/s) t= 2.6 mm Blunt-Experimental Conical-Experimental Blunt-Numerical Conical-Numerical 0 10 20 30 40 50 60 70 80 90 70 90 110 130 ResidualVelocity(m/s) Impact Velocity (m/s) t = 3.1 mm Blunt-Experimental Conical-Experimental Blunt-Numerical Conical-Numerical 0 40 80 120 160 200 70 110 150 190 230 EnergyAbsorbed(J) Impact Energy (J) t = 2.6 mm Blunt-Experimental Conical-Experimental Blunt-Numerical Conical-Numerical 0 40 80 120 160 70 110 150 190 230 EnergyAbsorbed(J) Impact Energy (J) t = 3.1 mm Blunt-Experimental Conical-Experimental Blunt-Numerical Conical-Numerical
  • 6. Tanzeem ul Hasan1 , Raisuddin Ansari / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587 585 | P a g e 110 m/s. At impact velocity higher than110 m/s, the energy absorption for conical nose projectile decreases rapidly. At these higher impact velocities, the energy absorbed for conical nose projectile is lower than that of the blunt nose. Figure 8 shows the effect of target thickness on residual velocity. It can be observed for both the projectiles, residual velocity decreases as target thickness increases. For conical nose project- ile (a), the difference between the residual velocities for both the thicknesses decreases as impact velocity increases. But in case of blunt nose projectile, this difference is almost constant (b). Figure 9 shows the effect of target thickness on energy absorption for conical nose and blunt nose projectiles. The graphs depict energy absorption increases with increases in target thickness. For conical nose projectile (a) the difference in energy absorption is higher at low impact velocities and reduces at higher impact velocities. But in case of blunt nose projectile this difference increases as impact velocity increases (b). Ballistic Limit Table 1 shows the experimental and numerical ballistic limits for different combinations. Ballistic limit is high for conical nose projectile as compared to the blunt nose projectile for both the thicknesses. It shows that conical nose projectile experiences more resistance in passing through GFRAL plate. The ballistic limit increases as thickness of the target GFRAL increases for both the projectiles. Increases in ballistic limit with thickness for both the projectiles is almost at same rate i.e. there is no rapid increase in ballistic limit as thickness increases from 2.6 mm to 3.1 mm. (a) (b) Fig. 8 Effect of Target Thickness on Residual Velocity. (a) (b) Fig. 9 Effect of Target Thickness on Energy Absorption. 0 10 20 30 40 50 60 70 80 90 80 90 100 110 120 130 140 ResidualVelocity(m/s) Impact velocity (m/s) Conical 3.1 mm-Experimental 2.6 mm-Experimental 3.1 mm-Numerical 2.6 mm-Numerical 0 10 20 30 40 50 60 70 80 70 90 110 130 ResidualVelocity(m/s) Impact Velocity (m/s) Blunt 3.1 mm-Experimental 2.6 mm-Experimental 3.1 mm-Numerical 2.6 mm-Numerical 0 40 80 120 160 200 100 120 140 160 180 200 EnergyAbsorbed(J) Impact Energy (J) Conical 3.1 mm-Experimental 2.6 mm-Experimental 3.1 mm-Numerical 2.6 mm-Numerical 0 40 80 120 160 200 80 100 120 140 160 180 200 EnergyAbsorbed(J) Impact Energy (J)) Blunt 2.6 mm, Experimental 3.1 mm, Experimental 2.6 mm-Numerical 3.1mm-Numerical
  • 7. Tanzeem ul Hasan1 , Raisuddin Ansari / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587 586 | P a g e Table 5.1 Ballistic Limit for Blunt and Conical Nose Projectiles. S. No. Plate Thickness (mm) Ballistic Limit for Blunt Nose Projectile (m/s) Ballistic Limit for Conical Nose Projectile (m/s) Experimental Numerical Experimental Numerical 1 2.6 67.7 68.5 79.72 78 2 3.1 74.8 76.7 89.8 88.9 V. Conclusion (a) Failure mode of the composite plate GFRAL in case of conical nose projectile is petalling accompanied with localized delamination of the spe- cimen. Composite plate gets delaminated in nearby region of the impact zone. This delamination zone slightly decreases as impact velocity increases. The GFRP of the composite plate get delaminated in itself. The GFRP get splitted, usually, into three (3) pieces along the thickness. This is due to faults induced in the matrix (resin) during manufacturing. These faults get delaminated due to vibrations generated by strucking of the projectile.Number of petals is equal in middle GFRP plate and successive rear aluminium plate. (b) Failure mode of composite plate in case of blunt nose projectile is shearing of the plate. A clear cut plug is obtained from the front aluminium plate and middle GFRP plate. The plug obtained from the GFRP plate was splitted into three pieces along the thickness.Failure of the rear aluminium plate is somewhat combination of petalling and shearing. The plug formed but did not get separated from the plate and in half the region, petals formation occurs. (c) Ballistic limit for both the thickness is found more for conical nose projectile (89.8 m/s and 79.2 m/s) as compared to the blunt nose projectile (74.75 m/s and 67.65 m/s) (Fig.7). Blunt nose projectile is found to be the better penetrator as compared to conical nose projectile i.e. blunt nose projectile requires less impact energy to penetrate the target. So, the composite plate (GFRAL) exhibits more resistance to the conical nose projectile as compared to the blunt nose projectile. (d) The deformation of plate 2.6 mm thickness is more (about 20 mm) as compared to 3.1 mm thickness (about 13 mm) for both the projectiles. References Journal Papers: [1] C. Soutis, Fiber reinforced composites in aircraft constructions. Prog Aerosp Sci, 41, 2005, 141- 151. [2] S. Abrate, Impact on laminated composites, recent advances in materials, Appl Mech Rev, 47(11),1994, 517-543. [3] XL. Gao, JQ. Zheng, NV. David, Ballistic resistance body armour : contemporary and prospective materials and related protection mechanism. Apple Mech Rev, 2009, 62.05802 – 1- 05082-20. [4] BA. Cheesman, TA Bogetti, Ballistic impact into fabric and compliant composite laminates, Compos Struct, 61, 2003, 16 –73. [5] PM Cuniff, An analysis of the system effects in woven fabrics under ballistic impact. Text Res J, 69 (9), 1992, 495-509. [6] JK. Kim, ML. Sham, Impact and delamination failure of woven fabric composites., Compos Sci Techl, 60 (5), 2000, 745-61. [7] P. Soltani, M. Kiekhohsravy, RH Oskouei, C Soutis, Studying the tensile behaviour of GLARE laminates – A finite element approach. Appl Compos Mater, 18, 2011, 271-282. [8] S. Alireza, F. Nargis, MH. Baheshty, Effect of reinforcement type on high velocity impact response of GRP plates using a sharp tip projectile. Int J Impact Eng, 38, 2011, 715-722. [9] SH. Song, YS. Byun, TW. Ku, Experimental and numerical investigation on impact performance of carbon fiber reinforced aluminium laminate (CARAL), JMST, 26 (4), 2010, 327-332. [10] Johnson GR, Cook WH. Fracture characteristics of three metals subjected to various strain, strain rates, temperatures and pressures. Eng Fract Mech, 21, 1985, 31-48. [11] NK. Gupta, MA. Iqbal, GA. Sekhon, Experimental and numerical studies on the
  • 8. Tanzeem ul Hasan1 , Raisuddin Ansari / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 3, Issue 4, Jul-Aug 2013, pp.580-587 587 | P a g e behavior of thin aluminum plates subjected to impact by blunt and hemispherical nose projectiles. Int J Imp Eng, 32, 2006, 1921- 1944. [12] Z. Hashin, A. Rotem, Fatigue criterion for fiber-reinforced materials. Compos Mater, 7, 1973, 448-64. [13] C. Menna, D. Aspron, G. Caprino, G. Lopresto, A. Prota, Numerical simulation of impact tests on GFRP composite laminates. Int J Impact Eng, 38, 2011, 677-685. Books: [14] ABAQUS Analysis User’s Manual, 2010. Version 6.10. Theses: [15] KP. Subrat, U. Paritosh, Failure characterization of FRP failure by scanning electron microscope technique. B. Tech. Thesis, , Department of Metallurgical and Materials Engineering, National Institute of Technology, Rourkela. India. 2008. Proceedings Papers: [16] GR. Johnson, WH. Cook, A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures. In: Proceedings of the seventh international symposium on ballistics, The Hague. 1983