ballistic impact into fabric and compliant composite laminates
TRANSCRIPT
Ballistic impact into fabric and compliant composite laminates
Bryan A. Cheeseman *, Travis A. Bogetti
US Army Research Laboratory, Aberdeen Proving Ground, Maryland 21005-5069, USA
Abstract
The development of tough, high-strength, high-modulus fibers has led to the use of fabrics and compliant composite lami-
nates for a number of impact-related applications, such as turbine blade containment, fuselage protection and body armor.
Numerous studies have been conducted to identify material properties and system mechanisms that are important to the per-
formance of these ballistic textiles. The current paper presents a review of the factors that influence ballistic performance; spe-
cifically, the material properties of the yarn, fabric structure, projectile geometry and velocity, far field boundary conditions,
multiple plies and friction. Each physical mechanism is described in detail, and original references are cited to allow further
investigation.
Published by Elsevier Science Ltd.
Keywords: Ballistic impact; Fabric; Armor-grade composite
1. Introduction
From ancient times, mankind has used textiles and
compliant laminates, not only for clothing and protec-
tion against the elements, but for bodily protection.From the use of leather on Grecian shields, layered silk
in ancient Japan, to chain mail and suits of armor in the
Middle Ages, personnel protection has sought to protect
its wearer from the corresponding advances in arma-
ments. However, the advent of firearms relegated these
forms of protection obsolete until the development of
high-strength, high-modulus fibers in the 1960s. These
materials ushered in a new era of body armor that of-fered protection against small arms munitions. The
current state-of-the-art body armor system being fielded
by the US Army is the Interceptor. Consisting of on
outer tactical vest (OTV) that is capable of stopping
high-powered handguns, it can be coupled with hard
ceramic inserts to stop rifle projectiles. However, heavier
inserts are required to protect against armor piercing
rounds, which result in system weights that would affectthe mobility of a soldier in the field. To achieve ad-
vancements in body armor performance levels at a re-
duced weight will not only require further advancements
in materials, but the use of models and simulations to
develop innovative system designs [1].
The current review was performed as part of an in-
vestigation to identify mechanisms that affect the bal-
listic performance of fabrics and compliant compositelaminates. (Unlike traditional structural composites,
compliant laminates, also known as armor-grade com-
posites, only contain �20% weight fraction matrix and
are made to readily delaminate. The authors will utilize
the term �ballistic textiles� to refer to both fabrics andcompliant laminates.) Although a thorough, quanti-
tative understanding of the all the mechanisms that
occur during ballistic impact into fabrics and compliantlaminates does not yet exist, much has been learned
through experimental observations and interpreted
from modeling efforts. (A separate review paper on
the modeling approaches to the impact of fabrics
and compliant laminates is planned.) The impact and
perforation of fabric and compliant laminates are
functions of a number of parameters including the
material properties of the yarns; the fabric structure;the projectile geometry and velocity; the interaction
of multiple plies; the far-field boundary conditions, and
the friction between the yarns themselves and between
the yarns and the projectile. These parameters will be
discussed separately in some detail; however, as a
starting point, a general description of the physical
phenomena of fabric impact deformation will be de-
scribed next.
*Corresponding author.
E-mail address: [email protected] (B.A. Cheeseman).
0263-8223/03/$ - see front matter Published by Elsevier Science Ltd.
doi:10.1016/S0263-8223(03)00029-1
Composite Structures 61 (2003) 161–173
www.elsevier.com/locate/compstruct
2. Impact into ballistic textiles
2.1. Background
As a starting point for a description of the impact
into fabric, the transverse impact into a single fiber will
be described first. Shown in Fig. 1, when a projectile
strikes a fiber, two waves, longitudinal and transverse,
propagate from the point of impact. The longitudinal
tensile wave travels down the fiber axis at the sound
speed of the material. As the tensile wave propagates
away from the impact point, the material behind thewave front flows toward the impact point, which has
deflected in the direction of motion of the impacting
projectile. This transverse movement of the fiber is the
transverse wave, which is propagated at a velocity lower
than that of the material.
Noting the similarities between the transverse impact
of a single ply of fabric (Fig. 2) with that of a single
fiber, Cunniff [2] notes that when a projectile impacts thefabric, it produces a transverse deflection in the yarns
that are in direct contact with the projectile (defined as
principal yarns) and generates longitudinal strain waves
that propagates at the sound speed of the material down
the axis of the yarns. Additionally, orthogonal yarns,
defined as yarns that intersect the principal yarns, are
then pulled out of the original fabric plane by the
principal yarns. These orthogonal yarns undergo a de-formation and develop a strain wave like those observed
in the principal yarns. Analogously, these orthogonal
yarns then drive yarns with which they intersect. These
yarn–yarn interactions, which are a function of the
friction between them, produce bowing, the misalign-
ment of the orthogonal yarns, toward the impact point.
The transverse deflection proceeds until the strain at the
impact point reaches a breaking strain [2]. Numericalstudies by Roylance [3] have shown that the majority of
the kinetic energy of the projectile is transferred to the
principal yarns as strain and kinetic energy, whereas, the
contribution of the orthogonal yarns to energy absorp-
tion is small. This can be seen in Fig. 2c from [4], which
shows the principal yarns highly stressed, while the or-
thogonal yarns are not. It can also be seen in Fig. 2 that
the orthogonal yarns change the profile of the transverse
wave from the V-shape seen in the single fiber impact
case to more of a parabolic profile.
The influence of the yarn crossovers has been inves-tigated and discussed by a number of researchers [3,5–7].
Freeston and Claus [5] have concluded from their
analysis that longitudinal strain wave transmission and
reflection at the yarn crossover do not considerably
affect the propagation of these strain waves away from
the impact point during a ballistic event. However,
Roylance [3] has shown that the profile of these strain
waves in a fabric differ considerably from those thatdevelop during the impact of a single fiber. A recent
numerical study by Ting et al. [7] has included the effects
of transverse yarn interactions and has found that these
interactions can significantly influence the results from
ballistic response models.
The description of single ply fabric deformation is
given to serve as an illustrative example to point out
some of the fundamental physical mechanisms observedthat influence the ballistic performance of fabrics.
Material properties, fabric structure, projectile geome-
try, impact velocity, multiple ply interaction, far field
boundary conditions and friction all play a role. Al-
though the authors attempt to describe these mecha-
nisms individually below, it should be noted that many
of the individual mechanisms have been reported in
a coupled manner (i.e. multiple ply ballistic panelsimpacted by different geometry projectiles at varying
velocities). As such, it is difficult to isolate each mech-
anism; therefore, what follows is a somewhat detailed
description to help elucidate the topic and give reference
to the original work if further detail is sought.
2.2. Mechanisms influencing ballistic performance
2.2.1. Material properties
The development of high-strength, high-modulus fi-
bers, which are subsequently bundled into yarns, has
allowed the development of current bullet resistant
fabrics and compliant laminates. When impacted, theyarn experiences a sharp increase in stress, the magni-
tude of which is related to the impact velocity. At a
sufficiently low velocity, below what is termed the �crit-ical velocity�, this initial stress increase is insufficient torupture the fibers; thus allowing transverse deflection
and resultant yarn extension time to propagate, result-
ing in the absorption of energy by the fabric [8]. Clearly,
fibers possessing high-tensile strengths and large failurestrains can absorb considerable amounts of energy. In
their study comparing the impact performance of dry
Spectra fabrics and their corresponding armor-grade
laminates, Lee et al. [9] have correlated the number of
yarns broken to the levels of impact energy absorbed,
which the researchers state is a clear indication that
fiber straining is the primary mechanism of the energy
TransverseWave Front
LongitudinalWave Front
Fiber V
Projectile
TransverseWave Front
LongitudinalWave Front
Fiber V
Projectile
Fig. 1. Projectile impact into body armor.
162 B.A. Cheeseman, T.A. Bogetti / Composite Structures 61 (2003) 161–173
absorption in the penetration failure of ballistic textiles.
These results reinforce those reported by Shim et al. [8]
and Cunniff [2] who note that at impact velocities
greater than the V50––the velocity at which 50% of the
projectiles perforate the target––fabrics are perforated
during the initial stress rise. As a result, no time is al-lowed for transverse deflection to propagate, which re-
duces fiber straining; therefore, the energy absorbed
above the V50 is smaller [8].
Using a model developed to analyze the impact of
fabric, Roylance and Wang [10] have shown that ma-
terials possessing a high modulus, E, and low density, q,(thus, a high-wave velocity) disperse the strain wave
rapidly away from the impact point, which distributesthe energy over a wider area and prevents large strains
from developing at the impact point. This can be seen in
the high-speed photographic study conducted by Field
and Sun [11], who examined the transverse wave speeds
of a number of different fibers, Kevlar fabrics and
Spectra laminates impacted with steel balls fired at ve-
locities of up to 1000 m/s. They showed that materials
having high-wave velocities were advantageous since thestresses and strains could propagate more quickly to
neighboring fibers and layers, thus involving more ma-
terial in the ballistic event [10].
Numerous modeling studies have been conducted to
study the influence of material tensile properties on the
ballistic performance. However, most of the studies note
the lack of high-rate properties and are conducted using
the static properties of the material. Limited studieshave been reported on the determination of the high-
rate properties of Kevlar 29 [12], and Kevlar 49 yarns
[12–15], Twaron filaments [16] and fabrics [17] and ar-
amid and polyethylene fiber composites [18]. Recently,
Lim et al. [19] have developed a three-element visco-
elastic representation for the rate dependent modulus of
the aramid fabric Twaron. Using the dynamic finite el-
ement analysis code LS-DYNA, they modeled the fabricas a stain rate dependent isotropic elastic–plastic mate-
rial and analyzed the response of a single ply of Twaron
impacted by a rigid sphere. They noted good qualitative
agreement when their numerical results were compared
with photographs of experimental backface deforma-
tions [19].
Although tensile strength, modulus and strain-
to-failure of a yarn play a large role in ballistic perfor-mance, each property individually does not control it.
Prosser et al. [20] note that if ballistic performance were
based on solely on yarn toughness, nylon would be a
better performer than Kevlar (which it is not). Also,
when the performance of high-strength polypropylene
was compared to that of nylon having two-thirds the
strength, the nylon was a better performer [21]. Re-
cently, Cunniff [22] has derived a dimensionless fiberproperty U � defined as the product of the specific fiber
toughness multiplied by its strain wave velocity.
U � ¼ re2q
ffiffiffiffiEq
sð1Þ
where r is the fiber ultimate tensile strength, e is the fiberultimate tensile strain. Developed as a first-level
screening tool to assess the performance of fibers, he
noted that armor performance is not defined by these
Fig. 2. Sphere impacting single ply of fabric (a) side view, (b) top view of z displacement contours and (c) bottom view showing principal yarns underhigh stress (from [4]).
B.A. Cheeseman, T.A. Bogetti / Composite Structures 61 (2003) 161–173 163
properties, but it is coupled to them. Laible [21] perhaps
sums it up best when he writes ‘‘the relationship between
the mechanical properties of a yarn and the ballistic
resistance of a plied fabric from such yarn has neverbeen established.’’ Clearly, there are other factors that
influence ballistic performance.
2.2.2. Fabric structure
While bullet resistant fabrics would not be possible if
it were not for existence of high-strength, high-modulus
fibers, Roylance et al. [23] note that the response of these
fabrics cannot be determined from the properties of the
fibers alone, but that ‘‘the material properties and the
fabric geometry combine to produce a structural re-sponse.’’ It has been observed that loosely woven fabrics
and fabrics with unbalanced weaves result in inferior
ballistic performance [2]. Weave patterns typically used
for ballistic applications are plain and basket weaves,
although other patterns have been investigated. The
density of the weave, known as the ‘‘cover factor,’’ is
determined from the width and pitch of the warp and
weft yarns and gives an indication of the percentage ofgross area covered by the fabric. Chitrangad [24] notes
that fabrics should possess cover factors from 0.6 to 0.95
to be effective when utilized in ballistic applications.
When cover factors are greater than 0.95, the yarns are
typically degraded by the weaving process and when
cover factors fall below 0.6, the fabric may be too
‘‘loose.’’
Loosely woven fabrics are more susceptible to havinga projectile �wedge through� the yarn mesh. As depictedin Fig. 3, when a projectile strikes a layer of fabric, the
fabric deflects transversely and the mesh of yarns is
distended, resulting in the enlargement of the spaces
between the yarns. Other factors, in addition to a loose
weave, can contribute to this phenomenon. Specifically,
if the projectile is relatively small and/or impacts at an
angle and/or a few yarns ahead of the projectile break,the projectile can slip through the opening or �wedge
through� by pushing yarns aside instead of breaking
them. This �wedge through� phenomena has been ob-served by a number of researchers including Mont-
gomery et al. [25], Kirkland et al. [26], Shim et al. [8],Prosser et al. [20], Lee et al. [9,27] and Lim et al. [19].
Evidence of this phenomenon is that the hole formed in
the perforated fabric is smaller in diameter than the
projectile [8] and that the number of yarns broken is less
than the number of yarns that intersect the projectile [9].
Prosser et al. [20] has observed (and gives a clear picture
of) the yarn spacing enlargement in his work investi-
gating the impact of chisel pointed 0.22 cal fragmentsimulating projectiles (FSPs) into nylon and Spectra
fabric. They define the hole formed by the yarn spacing
enlargement as a �trap door�.Trap door formation is a function of not only the
fabric structure, but also the mobility of the yarns and
the projectile geometry [26]. Yarn mobility can be in-
fluenced by the frictional behavior of the yarns with
themselves and with the projectile and minimized by theactual physical restraint of the lateral motion of the
yarns through the introduction of a matrix (i.e., making
an armor-grade composite). In their work investigating
Spectra fabric and their corresponding armor-grade
composite lamina, Walsh et al. [28] and Lee et al. [9]
have experimentally observed the matrix restricting the
lateral motion of the yarns. This restraint forces the
projectile to engage and break more yarns in the com-posite than the corresponding fabric, resulting in more
energy being absorbed by the composite [9]. It has also
been reported that Spectrashield, which is not a woven
fabric but consists of unidirectional cross-ply laminates
in a polymeric matrix, has also exhibited more resistance
to wedge through phenomena [29].
Another fabric structural property that has been
noted to influence ballistic performance is crimp [24].Crimp is the undulation of the yarns due to their in-
terlacing in the woven structure. In a plain weave, the
degree of crimp is unbalanced––the warp yarns are
typically more crimped than the weft. Chitrangad [24]
has proposed using weft yarns having a larger elonga-
tion to break. He reasoned that because the weft yarns
possess less crimp, they would break before the warp
yarns, because warp yarns need more time to decrimpand then elongate to failure. To mitigate this pheno-
menon, he proposed introducing weft yarns possessing
larger elongations to failure. To demonstrate the effec-
tiveness of the hybrizided weaves, three sets of V50 tests
were conducted using 17 grain FSPs. The first set of
experiments used plain weave fabrics, one comprised
entirely of 1500 denier Kevlar 29 having a tenacity of
23.0 g/denier, an elongation to break of 3.6% and amodulus of 565 g/denier, a second fabric comprised
entirely of 1500 denier Kevlar 119 having a tenacity of
24.4 g/denier, an elongation to break of 4.4% and a
modulus of 448 g/denier and a third fabric where theFig. 3. A depiction of the ‘‘wedge through’’ phenomenon associated
with fabric impact (figure courtesy of Duan [62]).
164 B.A. Cheeseman, T.A. Bogetti / Composite Structures 61 (2003) 161–173
warp yarns consisted of the 1500 denier Kevlar 29 yarns
and the weft yarns, the 1500 denier Kevlar 119 yarns.
Six-ply fabric packs were tested and the results are
shown in Table 1. It was seen that V50 from the hy-
bridized fabric was 3% and 5.5% greater than the fabrics
comprised entirely of Kevlar 29 or Kevlar 119 yarns,
respectively. Additionally, basket weave fabrics were
made of the Kevlar 29 yarns and the hybridized con-figuration were tested. Panels of 12 plies were impacted
and the results are shown in Table 1. The hybridized
basket weave yielded a V50 7% greater than that made
exclusively from the Kevlar 29 yarns.
2.2.3. Projectile geometry
The geometry of a projectile influences its ability toperforate a fabric. Montgomery et al. [25] investigated
four different 0.22 projectile geometries on the ballistic
performance of one, two and three layers of Kevlar 49.
The researchers found that pointed bullets had the
ability to wedge through fabric and were not decelerated
as quickly as blunt bullets. Similar results have been
reported by Bazhenov [30] who investigated the impact
of multiple layers of Armos fabric (an aramid fabricproduced in Russia) by a pointed 7.62 mm TT bullet and
a more rounded nose 9 mm bullet. Recently Tan et al.
[31] have studied the perforation of a single ply of
Twaron CT 716 plain weave fabric by projectiles having
a flat, hemispherical, ogival and conical head. They
found fabric creasing and perforation mechanisms
highly dependent on the shape of the projectile. The
conical and ogival projectiles perforated the fabric withleast amount of yarn pull-out, indicating these projec-
tiles were able to slip through the weave. These projec-
tiles resulted in the lowest V50s, 58 and 76 m/s,
respectively. The flat head projectile, with a V50 of 100
m/s, sheared the yarns across the thickness, while the
hemispherical projectile produced the most yarn
pull-out and had the highest V50 of 159 m/s. [31].
Montgomery et al. [25] also report that effect of bulletgeometry decreases as the number of plies increases,
which has also been observed by Lim et al. [19], who
investigated one and two plies of Twaron (also an ar-
amid) fabrics struck by four different geometry projec-
tiles and by Prosser et al. [20].
�Wedge through� perforation and tensile yarn failureare not the only mechanisms observed in fabric perfo-
ration. Sharp edged projectiles, or projectiles traveling
at high velocity, can penetrate fabric targets by shearing
yarns across their thickness [2,19,20,27,32]. Prosser et al.
[20] has reported that the cutting action of a projectilepossessing sharp edges is a prime mode of penetration of
fabric layers in their experiments conducted on multiple
layers of nylon or Spectrashield panels. In panels con-
sisting of 20 layers of fabric, the first few layers were
punched out in the shape of the leading surface of the
projectile [20]. Additionally, Lim et al. [19] have noted
that the reinforcement factor for two plies of fabric is
not observed for flat headed projectiles, due to the cut-ting action of their sharp edges.
2.2.4. Impact velocity
Clearly, the impact velocity of a projectile will affect
the performance of fabrics and compliant laminates.However, the mechanisms associated with the different
velocities needs to be quantified. As briefly mentioned
earlier, it has been observed that higher velocities and
sharper projectiles tend to fail fabrics and compliant
laminates by shearing across the yarns, rather than ex-
tending them to failure. (It should be noted that when
yarns are struck at a sufficiently high velocity, they can
rupture instantly at what has come to be known as thecritical velocity. For a detailed description of critical
velocity, the authors refer to Lyons [33].) In their work
impacting Twaron fabric with steel spheres, Shim et al.
[8] has described the differences observed between low-
and high-velocity impact. With low-impact velocities,
the yarns do not fail during the initial stress rise;
therefore, the transverse deflection of the fabric has time
to propagate to the edges of the panel, which allows thefabric to absorb more energy. Panels struck with a low-
velocity projectile are characterized by extensive creas-
ing and stretching, which may contribute to energy
dissipation. With a high-velocity impact, the damage is
localized and the yarns fail before significant transverse
deflection can develop. Similar descriptions have also
been reported by Tan et al. [31].
However, other potentially important mechanismsare observed for high-velocity impact. Recent studies by
Carr [34] on single yarn impact of Kevlar and ultra-
high-molecular weight polyethylene (UHMWPE) has
similarly found that at higher impact velocities, the
yarns fail in shear; moreover, with UHMWPE yarns,
melt damage of the filaments was also noted. Shear
failure and small amounts fiber melt damage has also
been observed in studies conducted with poly(para-phenylene benzobizoxazole) (PBO) fabric impacted by
chisel point FSPs [35] and in Dyneema panels impacted
by 5.56 mm bullets [36]. Such heat degradation of fibers
has been observed since the 1950s, when it was reported
that filaments were damaged by softening, melting, de-
composition, burning and fibrillation during ballistic
impact experiments of nylon panels [37]. Similar melt
Table 1
Ballistic performance of fabric (from [24])
V50 ballistic performance (ft/s)
Plain weave
six plies
2� 2 Basket weave12 plies
Kevlar 29 1266 1645
Kevlar 119 1235 N/A
Warp K-29/Weft K-119 1304 1761
B.A. Cheeseman, T.A. Bogetti / Composite Structures 61 (2003) 161–173 165
damage such as fiber fusion, bridging and contraction
has also been observed in impacted panels of
UHMWPE [20,36,38] along with crystallinity changes in
the UHMWPE filaments [20,39]. Using an infraredcamera focused on the rear surface of nylon ballistic
panels, temperatures as high as 76.6 �C have been re-
corded just after the panels were perforated by 0.22 cal
right circular cylinder projectiles [20]. However, using
finite element and finite difference analysis, Prevorsek
et al. [38] determined that the heat generation and cor-
responding temperature rise was due to friction and
concluded that due, in part, to the brief time frame ofthe impact event, that the temperature rise has a minimal
influence on the ballistic performance of UHMWPE.
This conclusion is supported by work on UHMWPE
panels that were shot in heated ovens with only a 5%
decrease in ballistic performance when the panel was
heated to 110 �C [26,40].In their investigation of bumper shields required for
the protection of space vehicles from hypervelocity im-pact, Hiermaier et al. [41] have investigated the behavior
of Nextel and Kevlar fabric and Kevlar-epoxy com-
posite under a range of strain rates. Using inverse flyer
plate experiments, the researchers observed that when
Kevlar-epoxy composite plates were impacted at 788 m/
s, all the epoxy vaporized. Evidence of epoxy vapor-
ization has been reported at plate impact velocities of
388 m/s [42]. At an impact velocity of 1015 m/s, theKevlar-epoxy plate underwent a phase change, ther-
mally decomposed and turned into a mass of fine Kevlar
particles.
2.2.5. Multiple plies
A great number of experiments have been performed
impacting multiple plies of ballistic textiles. The major-
ity of the information acquired is presented in the formof the residual velocity (VR) of a projectile as a functionof its of striking velocity (VS) (see, for example, [43–45]),which gives a measure of the ballistic performance of the
material against a particular threat. Cunniff [2] and Lim
et al. [19] have investigated the ballistic impact of multi-
ply systems to characterize the reinforcement effect of
multiple layers. These investigators compared the per-
formance of two ply spaced armor systems, where thetotal energy absorbed is the summation of the energy
absorbed by each ply, with two ply layered systems.
Cunniff [2] impacted panels of Kevlar, Spectra
(UHMWPE) and nylon with chisel-pointed FSPs, and
found that theoretically, the energy absorbed by spaced
single plies was greater than that absorbed by layered
systems. Lim et al. [19] impacted panels of Twaron with
various projectile geometries and found that the ab-sorbed energy for the layered systems was greater than
that of the spaced systems for certain impact velocities
for certain projectile shapes. Clearly, the issue of layered
or spaced multiple ply systems needs further investiga-
tion.
Detailed descriptions of the ballistic impact into
multiple ply compliant composite laminates have been
given in [9,27,46,47]. Damage mechanisms are depen-dent on the projectile geometry and velocity, the prop-
erties of the matrix and fibers and the fiber-matrix
adhesion. (It should be noted that for ballistic applica-
tions, weak fiber-matrix adhesion is wanted. This results
in the ready delamination of the compliant lami-
nate, which allows the fibers to extend to failure. How-
ever, depending on the application, a certain degree
of structural stiffness may be warranted, thus increasedfiber-matrix adhesion may be used.)
When an armor-grade composite is impacted, if the
projectile possess sharp edges and/or the composite
properties are somewhat brittle and/or there is an in-
creased level of fiber/matrix adhesion, the first few plies
may be sheared out, forming a plug. Depicted in Fig.
4(a), Lee et al. [27] describe this type of failure observed
when Spectra fiber reinforced composites were impactedby 0.22 cal FSPs. After the plug is formed, sequential
delamination was noted, along with fiber pull-out and
fiber tensile failure in the back layers of the laminate.
Lateral movement of fibers was observed for unidirec-
(b)
Formation of transverse shear cracks
Delamination crackscoalesce to form a‘wedge’ (shear plug)
Plug displaces,results in increaseddelamination, backsurface bulging
Tensile failure
Formation of transverse shear cracks
Delamination crackscoalesce to form a‘wedge’ (shear plug)
Plug displaces,results in increaseddelamination, backsurface bulging
Tensile failure
(a)
Fig. 4. Penetration into compliant laminates (a) with shear plug formation and (b) with compaction and spring-back (after Scott [47]).
166 B.A. Cheeseman, T.A. Bogetti / Composite Structures 61 (2003) 161–173
tional cross-ply laminates, but not seen in fabric lami-
nates [27].
Iremonger and Went [46] detail the deformation and
failure that is observed when a chisel-point FSP impactsa nylon panel. They postulate that when the projectile
initially impacts that panel, it produces a compressive
wave that propagates through the thickness of the
laminate and reflects off the rear surface as a tensile
wave, which may produce delamination. Iremonger and
Went [46] have observed that the sharp edges of the FSP
cause intense shear, which cut through the fibers, while
the oblique faces stretch the fibers, which eventually failin tension [46].
Depicted in Fig. 4(b), Scott [47] remarks that with
compliant laminates, there is considerable evidence of
fiber stretching, even in the first few layers. Fibers are
driven into the underlying layers before they fail, re-
bound and form a reverse pyramid on the impact sur-
face. Beneath the projectile, the material is compressed
and the remaining layers form a membrane, which ab-sorbs the remaining energy through fiber elongation and
fiber pull out [46].
When multiple ply armor systems are impacted by
sharp-edged projectiles, the first few layers are punched
out in the shape of the impacting surface [20]. The re-
maining layers behave as a membrane. In other words,
the layers close to the impact surface behave inelasti-
cally, whereas the layers toward the back behave elas-tically. Cunniff [43] has studied this decoupled response
through the thickness of multi-ply systems. He notes
that the material of the first few plies behaves as though
it were unbacked by the remaining plies of material.
When struck at sufficiently high velocities, the armor
system response is dominated by the inelastic behavior
of the material. Cunniff [43] has investigated hybridiza-
tion of armor systems by replacing the material at thestrike face with a different (less expensive) material.
Experimental results have shown that the ballistic per-
formance of the armor system can be maintained by
replacing the original material with a surrogate that has
similar inelastic properties and that the surrogate ma-
terial could be chosen to improve the other properties,
such as stiffness [43].
Hybridization of the armor through its thickness hasbeen done for a number of years and can be seen by the
number of patents and commercially available soft ar-
mor systems consisting of multiple materials. However,
few reports exist in the literature detailing the effect of
the hybridization on ballistic performance. Recently,
Larsson and Svenson [48] conducted a comprehensive
investigation of hybridized compliant armor systems for
improved ballistic performance using various combina-tions of carbon, Dyneema and PBO. Using a 5.46 mm
FSP, the performance of panels composed entirely of
either Dyneema or PBO was obtained and then com-
pared against the performance of panels where different
percentages of Dyneema or PBO fibers were replaced
with corresponding amounts of carbon fibers. It was
found that by using approximately 50% carbon fibers on
the impact face of the panels (i.e. replacing 50% of theDyneema or PBO), the ballistic limits were essentially
the same as the corresponding panels containing 100%
Dyneema or PBO. Ballistic limits were improved when
25% carbon fiber was used on the impact surface. Such
hybridized systems have also been investigated by
Thomas [49]. Thomas found that using a non-woven
facing on a woven fabric provided enhanced protection
against handgun threats rather than just Spectrashieldalone. Further improvement was found by using a
Spectrashield facing on a non-woven, backed by fabric.
The use of layers of woven and nonwoven aramid tex-
tiles has also been studied by Chitrangad [50].
2.2.6. Far-field boundary conditions
When testing fabric or compliant armor systems for
ballistic impact, the size of the specimen and the means
of fixturing it during the impact event are important.
Cunniff [2] tested single plies of Kevlar and Spectra
clamped between aluminum plates having 1-, 2-, 4-, and
8-in. apertures and observed that the ballistic limit ofthe fabric was strongly dependent on the aperture
size. Smaller apertures decreased the ballistic limit. It
was surmised that the smaller openings constrained
the amount of transverse deflection (therefore, the
amount of tensile elongation) and longitudinal deflec-
tion. However, the effectiveness of longitudinal con-
straint was questionable as it was observed that the
fabric slipped between the clamped plates for all veloc-ities tested. Above the ballistic limit, the size effect was
negligible, as the fabric is perforated without significant
transverse deflection for all cases [2]. However, using
two different aperture sizes, 50 and 200 mm, Lee et al.
[27] reported minor differences in the ballistic limit in
their experiments with Spectra fiber reinforced com-
posite laminates impacted by 0.22 caliber FSPs. Re-
cently, Lee et al. [9] have investigated the failuremechanisms for compliant laminates over a range of
testing rates using quasi-static punch, dynamic drop
tower and ballistic experiments. Using fixtures typical
for drop tower testing of rigid composite panels was
found to be inadequate because fabric and compliant
laminates slipped from the clamping apparatus due to
inadequate clamping pressure [9,28]. The absorbed im-
pact energy was found to be a function of the clampingpressure, therefore, specialized clamping plates were
employed and clamping pressures increased until the
absorbed impact energy was found to be independent of
the clamping pressure. It is interesting to note that when
insufficient clamping pressure was used and the speci-
men slipped from the clamps, the energy absorbed was
4.5 times greater than the no-slip cases [9].
B.A. Cheeseman, T.A. Bogetti / Composite Structures 61 (2003) 161–173 167
Chitrangad [51] has observed that improved ballistic
performance can be realized if the aramid filaments can
be maintained under tension. Ballistic tests using 17
grain FSPs were performed on fabrics that were eithertensioned or not tensioned. Improvements over in the
V50 performance of 7% and 8% were noted for two and
three plies of Kevlar 29 yarns in a basket weave when
the warp and weft tows were tensioned to an extent of
0.018 and 0.012 g/dtex, respectively. Utilizing five plies
of a hybrid plain weave with the Kevlar 129 yarns in the
warp direction and Kevlar 29 in the weft, both pre-
tensioned to 0.018 g/dtex, improved the V50 23% overthe no tension sample.
Investigating the application of PBO fabric to protect
airplane fuselages against turbine engine fragments,
Shockey et al. [52] have performed a number of quasi-
static and impact experiments to study the effect of the
boundary conditions on absorbed energy. Using 25 g
blunt and 26 g sharp fragment simulators, fabrics were
impacted at velocities between 52 and 113 m/s. It wasshown that when the targets are gripped on two edges
rather than four edges, more energy was absorbed
for both impactors. These results spurred an extensive
quasi-static penetration investigation of PBO, Kevlar
and Spectra fabric gripped on all four edges or gripped
on two edges and having the other two edges free. A
typical load-stroke (penetrator displacement) curve for a
quasi-static punch test into a single ply of PBO is shownin Fig. 5. Different loading rates and penetrator geom-
etries were studied, the failure mechanisms recorded and
it was seen that when gripped on four edges, the yarns
typically failed locally at the sharpest edge of the pene-
trator (Shockey et al. [52] remark that this type of failure
is also characteristic of that seen in high-velocity im-
pact). This local yarn failure corresponds to the peaks
on the curves shown in Fig. 5. However, the post-peak
behavior of the fabric clamped on four edges is quitedifferent than that clamped on two. For the four edge
case, the penetrator perforates the fabric and the load
drops abruptly to zero. In the case of the fabric clamped
on two edges, a number of different mechanisms were
observed. In addition to the local yarn failure, yarns
away from the impact site were observed to break.
Through frictional interaction with other yarns, re-
motely failed yarns still exerted a significant load on thepenetrator. Yarn pull-out, where the yarns do not break
but are pulled out of the fabric, was observed and
contributed to the energy absorption. This can be seen
as the post peak region in Fig. 5 [52].
Although the results of Shockey et al. [52] are for
quasi-static penetration of fabrics, qualitatively similar
curves have been experimentally obtained for ballistic
impact by Starratt et al. [53,54]. Square panels of eightand 16 plies of Kevlar 129 fabric were mounted in a
fixture that clamped the top and bottom while the sides
remained free. These panels were impacted with 5.38
mm diameter blunt projectiles at velocities ranging from
267 to 459 m/s. High-speed photography was used to
capture the deformation of the fabric, while a novel
technique, the enhanced laser velocity system (ELVS),
was used to continuously measure the projectile dis-placement before and during impact. From these
measurements, the velocity-time, force-projectile dis-
placement history and energy absorbed by the target
during the impact event was calculated. The force on the
projectile as a function of projectile displacement for the
Fig. 5. Load as a function of penetrator displacement for quasi-static penetration of a single ply of PBO fabric gripped on two or four edges (figure
from Shockey et al. [52], used with permission).
168 B.A. Cheeseman, T.A. Bogetti / Composite Structures 61 (2003) 161–173
impact into eight layers of Kevlar is shown in Fig. 6.
For the case where projectile impacts at 428 m/s, the
projectile perforates the layers of fabric. Here, the
loading increases to a peak of 12 kN, remains constant,
then drops rapidly as the projectile makes a hole in the
fabric layers. For the 267 m/s case, the projectile is
stopped by the fabric. As shown in Fig. 5, the load in-
creases to �12 kN, then gradually decreases. The in-vestigators report that this target had minimal broken
yarns and that the decrease in the force may be attrib-
uted, in part, to yarn pull-out [53].
When observing the curves in Figs. 5 and 6, one can
see similarities. Recall that Shockey et al. [52] noted the
failure of the fabric when gripped on four edges is
similar to that seen in high-velocity impact. This ob-
servation is supported by similarities in the force–dis-placement curves shown for the quasi-static push test
case where the fabric is gripped on four edges shown in
Fig. 5 and the ballistic perforation case shown in Fig. 6.
Moreover, the force–displacement curve for the case
where the projectile was arrested in the fabric is very
similar to the force–displacement curve of the fabric
push tests where the fabric was gripped on two edges.
Recalling that the ballistic experiments were done withthe fabric gripped on two edges, these similarities may
be the result of the yarn pull out mechanism, which both
Starrat et al. [53] and Shockey et al. [52] partially at-
tribute to the post-peak behavior of these cases. As the
yarn pull-out is responsible for some of the energy ab-
sorbed during the impact event, the frictional interaction
between yarns directly plays a role in the absorption of
energy during an impact event. The importance of yarn–yarn friction has also been noted in a numerical study of
fabric impact conducted by Parga-Landa and Hernan-
dez-Olivares [12]. The next section will review some of
the work concerning the role of friction, both directly
and indirectly, on impact performance.
2.2.7. Friction
Friction has been shown to play a role, both directly
and indirectly, on the impact performance of textiles. In
the previous section, it was seen that yarn pull-out maybe directly responsible for absorbing energy during a
non-perforating impact event. However, friction be-
tween the projectile and the yarns and the yarns them-
selves may also be responsible for how much energy is
absorbed during an impact event. The work of Lee et al.
[9] has shown that by restricting the ability of the yarn to
move laterally out of the path of the projectile during
impact (by using small amounts of resin) increases theamount of energy the fabric can absorb. Or, more gen-
erally, increasing the friction between the projectile and
the fabric and the yarns themselves will hinder the mo-
bility of the yarn and require the projectile to engage
and break more yarns, which would result in greater
energy absorption. The result of this type of interaction
can be considered an indirect mechanism of increased
energy absorption due to friction. The importance offriction for ballistic impact has been studied by a num-
ber of researchers. Some of this work is summarized
next.
Briscoe and Motamedi [55] published a quantitative
study examining the role of yarn friction on the ballistic
performance of Kevlar 29 and Kevlar 49. The investi-
gators studies a plain and a satin weave of Kevlar 29 and
a ‘‘crows foot’’ weave of Kevlar 49 under three states ofyarn–yarn lubrication: ‘‘as-received,’’ Soxhlet extracted
(scoured) and coated with a 5% solution of poly-
dimethysiloxane (PDMS). The ‘‘as-received’’ fabrics
were left with their proprietary lubrication aids intact.
The Soxhlet extracted, or ‘‘scoured,’’ fabrics were
soaked in acetone for two days to clean the yarns of the
as received processing aids and the PDMS fabrics were
first scoured and then immersed in a 5% solution ofpetroleum ether and dried. Yarn–yarn friction was
measured using the hanging fiber friction experiment
configuration, and the frictional coefficient was shown
to be a function of the applied normal load. The high-
load limit coefficients of friction for Kevlar 49 yarns are
shown in Table 2 [55].
From Table 2, it can be observed that the PDMS
treated fabric has more lubrication and the scouredfabric has less lubrication than the ‘‘as-received’’ fabric.
A previous investigation by the researchers on the
Fig. 6. Force–displacement results for impact into eight plies of Kevlar
129 fabric obtained from the ELVS (figure from Starratt et al. [54],
used with permission).
Table 2
High-load limit coefficients of friction and apparent yarn modulus for
Kevlar 49 (from [55,56])
Fabric treatment l E (N)
As-received 0.22� 0.03 2132
Soxhlet extracted
(scoured)
0.25� 0.03 2773
PDMS treated 0.18� 0.03 1964
B.A. Cheeseman, T.A. Bogetti / Composite Structures 61 (2003) 161–173 169
Kevlar 49 ‘‘crow�s foot’’ weave fabric examined the
amount of force required to pull out the yarns from
these fabrics and it was shown that the scoured yarns
required the most force, while the PDMS treated yarnsrequired the least [56]. Additionally, yarns were ex-
tracted from the Kevlar 49 fabric and tested in tension.
The apparent modulus, E (force/strain), from these tests
is given in Table 2. The increased modulus of the
scoured yarn and the decreased modulus of the PDMS
treated yarn is attributed to changes in the interfilament
friction in the yarn itself caused by the surface treat-
ments [56].Ballistic impact experiments were conducted along
with high-speed photography on single layers of fabric
to examine the effect of friction on the ballistic perfor-
mance. Steel ball bearings, 6.35 mm diameter, were fired
from a gas gun into 100 mm circular fabric specimens
that were pretensioned and clamped between two steel
rings. The researchers noted the transverse wave veloc-
ities (TWV) were different, with the scoured fabrichaving a much larger TWV. Also, the impacted fabrics
exhibited observable differences, with the scoured fabric
having more significant disruptions of the fabric struc-
ture and the ‘‘as-received’’ fabric having more fiber pull-
out. Generally, for each weave, the velocity required to
perforate increased with decreasing levels of lubrication
whereas the residual velocity increased with increasing
levels of lubrication. Alternatively, these results could berestated as more energy was absorbed in the fabric with
higher levels of friction. The researchers conclude that
even modest changes in yarn–yarn and inter-filament
friction can produce changes in the ballistic performance
of a fabric. The authors of this paper note that this may
be true, though the frictional interaction between the
steel sphere and the fabric was not considered and the
frictional properties under high pressures and velocitiesare not known.
The use of finishes on aramid yarns has been inves-
tigated since finishes are required to weave them into
fabric without damaging and degrading the constituent
yarns. Chitrangad and Rodriquez-Parada [57] have
noted that low coefficients of friction are needed between
the aramid yarn and metals and/or ceramics used in
processing, but high-fiber–fiber coefficients of frictionare thought to improve ballistic properties. Before the
disclosure of a novel finish developed by the researchers,
they noted that to achieve these conflicting frictional
goals, a finish would first be applied for processing, re-
moved and then a second finish applied to improve the
ballistic performance. Chitrangad and Rodriguez-
Parada [57] developed a fluorinated finish for aramids
that increased the fiber–fiber friction as compared tothat of the standard finish used in processing aramids
while keeping the frictional coefficient between the yarns
and metal approximately the same. Additional research
on aramid finishes can be found in Rebouillat [58] who
noted that a processing finish was still required before
coating the aramid fibers with a fluoro-containing finish,
which served as a water repellent agent. (If not treated
with water repellant, the performance of Kevlar, whenwet, is known to decrease). Rebouillat [58] reports the
development of a ketene dimer surface treatment for the
aramid fibers that can either be applied ‘‘in-line’’ during
the spinning of the fibers or ‘‘off-line’’ when the fibers
are on bobbins, when the fibers are ‘‘never-dried’’ (still
swollen with water) or dried. The ketene dimer serves as
a hydrophobic coating that changes the frictional
properties of the yarns and modifies the fiber-resin ad-hesion in aramid composites. Frictional measurements
between yarns and the yarns and metal were conducted
with a Rothschild friction meter for yarns coated when
‘‘never dried,’’ dried and a comparison yarn not coated
with the ketene dimer. The results are given in Table 3.
They show that when the ketene dimer is applied to the
fibers in a ‘‘never dried’’ state, they decrease the fric-
tional coefficients. Additional tests show that fabricswoven with the ‘‘never-dried’’ fibers were 100% hydro-
phobic (the dried yarns could not be woven). Ballistic
tests were done using fabrics produced with the ketene
dimer surface treated yarns and ‘‘comparison’’ yarns.
Using 12 layers of fabric, V50 tests were performed with
a FSP. These test showed the ballistic performance of
the fabrics to be the same, each having an average V50
of 452 m/s. Additional tests were conducted using 22layers of each fabric struck with a 124 grain 9 mm full
metal jacket projectile. The V50 performance for the
ketene dimer treated fabric was improved by 8% when
dry and 10% when wet when compared to the perfor-
mance of the ‘‘comparison’’ fabric. Composite plates
made from 24 layers of ketene dimer treated fabric and
18% phenol resin exhibited 20% higher ballistic resis-
tance against the 17 grain FSP than panels made fromthe ‘‘comparison.’’ This may be a result of the fiber-resin
interface in the composite. Recalling that delamination
is preferred in armor-grade composites, short beam
shear tests showed that the ketene dimer treatment re-
duced the adhesion of the matrix resin to the yarns. The
measured short beam shear strength was 33 MPa,
whereas the composite made from the ‘‘comparison’’
fabric was measured to be 54 MPa [58].Additional studies using a pin-on-disc tribometer in
either an alternating sliding mode or a continuous slid-
Table 3
Frictional coefficients determined using a Rothschild friction meter
(from [58])
Coefficients of friction
Never dried
fibers
Dried fibers Comparison
Fiber–fiber 0.09 0.18 0.15
Fiber-to-metal 0.20 0.40 0.30
170 B.A. Cheeseman, T.A. Bogetti / Composite Structures 61 (2003) 161–173
ing mode were reported by Rebouillat [59]. Here, he
determined the frictional properties of Kevlar yarns and
fabrics sliding on a polyvinyl chloride (PVC) disc as a
function of their surface treatment. (Rebouillat notesthat Lavielle [60] has reported that the friction coeffi-
cients measured using a PVC disc face are good ap-
proximations of those done with steel.) The friction
properties were determined for Kevlar 29 yarns of 930
dtex and 3300 dtex, and plain weave fabrics made from
them. For fabrics woven from the 3300 dtex yarns and
930 dtex yarns, the yarn count was 7� 7 yarns and12� 12 yarn per cm, respectively. However, the studywas tribological and not concerned with the ballistic
performance.
Recently, Dischler [61] has developed a coating �2lm thick that, when applied to aramid fibers, increases
the yarn–yarn frictional coefficients. He reports when
fiber-to-fiber bonding is minimized, the coated fibers
result in substantial performance increases when tested
against flechettes.Having observed the degradation of yarns, the high
temperatures generated due to friction and the plastic
deformation of the projectile caused, in part, by friction
at the projectile-fabric interface, the effect of friction
between adjacent Kevlar fabric layers and between the
fabric and various metals has been studied by Martinez
et al. [32]. Following ASTM standard D4917, the in-
vestigators determined the static friction coefficientsbetween two plies of same kind of fabric. Three different
fabrics were investigated: a 1100 dtex Kevlar HT with
8.5 yarn/cm, a 1100 dtex Kevlar 29 with 12.2 yarn/cm
and a 1270 dtex Kevlar 49 with 6.7 yarn/cm. Results are
given in Table 4 and show that the Kevlar 29 fabric,
which had the tightest weave, had the highest static
frictional coefficient. Yarn pull-out tests were also per-
formed and the frictional force per yarn crossover andfrictional force per unit length was also computed. The
Kevlar 29, which had the tightest weave, also took the
most force to extract the yarn. Dynamic wear tests for
mutual fabric plies between the fabric and steel, brass,
aluminum and lead were performed to determine the
dynamic frictional coefficients as a function of pressure.
Noting that the friction and wear properties were
characterized in the low-pressure regime, 1 kPa forfabric-to-fabric contact and 1 Mpa for aramid-metal
friction, the researcher noted that higher pressure data
are required [32].
Bazhenov [30] has investigated the mechanisms that
occur when multiple layers of an aramid fabric (Armos)
on a plasticine foundation are impacted by 9-mm bullets
(although not explicitly stated in the paper, it appearsthat the fabrics were not fixtured). In addition, the effect
of the moisture on the impact behavior of the multiple
fabric layers was studied. By studying the number of
yarns pulled out in each layer during the impact and the
width of the pull-out zones, Bazhenov concludes that
the pull-out zone gives some measure of the energy
transferred to a fabric layer and that friction between
the yarns leads to a larger pull-out zone and therefore,improved energy dissipation. When impacting 20 layers
of Armos fabric in a dry or wet state with a 9-mm bullet,
Bazhenov [30] observed that the width of the pull-out
zones were quite different. In the case of the dry fabric,
the pull-out zones were greater than the diameter of the
bullet. In the first layer, the width of the pull-out zone
was �14 mm, and this increased until the 15th layerwhere the pull-out zone width was �19 mm. In the lastfew layers, the pull-out zone width decreased, which he
attributed to the bullet stopping. For the case of the wet
fabric, the bullet perforates the system. Post-failure in-
spection revealed that the width of the pull-out zones
were much smaller than those observed from corre-
sponding layers in the dry system. In addition, in the
first fabric layer, impacted wet yarns were not broken,
but perforation was caused by the sliding of the bulletbetween slightly pulled out yarns. Bazhenov [30] sur-
mises that the water served to lubricate the interface of
the spherical bullet nose and the yarn (i.e., friction was
reduced).
3. Concluding remarks
The current paper has reviewed a number of mech-
anisms that influence the ballistic performance of bal-
listic textiles. Although it is clear a priori that some, such
as the material properties, projectile geometry, impact
velocity and multiple plies, have a profound influence onperformance, others, such as fabric structure, far field
boundary conditions and friction are not as apparent.
Indeed, although much has been learned, much more
could be investigated.
It appears that studies are ongoing to optimize the
performance of ballistic textiles through hybridization
of fabric and compliant composite laminate systems by
the layering of different materials and even differenttextiles, such as felts. However, it seems that most of
these research results are proprietary because they do
not appear in the open literature. Moreover, the effect of
fiber sizings and coatings and their influence on fric-
tional properties has generated a number of research
efforts. Though a quantitative understanding of how
these sizings affect the ballistic performance has not yet
Table 4
Ply–ply frictional coefficients and forces required during yarn pull-out
experiments (from [32])
Kevlar HT Kevlar 29 Kevlar 49
lstatic 0.47 0.51 0.41
Force per yarn crossover (N) 0.043 0.103 0.044
Force per cm of fabric (N) 0.365 1.257 0.295
B.A. Cheeseman, T.A. Bogetti / Composite Structures 61 (2003) 161–173 171
been gained, this may be an area future research (It is
interesting to note, that the ketene dimer surface treat-
ment, which decreased the yarn–yarn and yarn-metal
friction as evaluated alongside the ‘‘comparison’’ sizing,performed as well or better ballistically. A possible ex-
planation is that the frictional coefficients were deter-
mined for low pressures and slow sliding velocities).
Indeed, the work of Briscoe and Mohamedi [55,56]
seems to indicate that surface treatments not only affect
the inter-filament friction, as possibly indicated by the
differences in the apparent yarn modulus in Table 2, but
also the yarn pull-out results [56] and ballistic results[55].
References
[1] DARPA DSO Technology Thrust, Personnel Protection, http://
www.darpa.mil/dso/thrust/md/str_5.htm.
[2] Cunniff PM. An analysis of the system effects of woven fabrics
under ballistic impact. Text Res J 1992;62(9):495–509.
[3] Roylance D. Stress wave-propagation in fibers-effects of cross-
overs. Fiber Sci Technol 1980;13(5):385–95.
[4] Duan Y, Keefe M, Bogetti TA, Cheeseman BA. Modeling the
impact behavior of high-strength fabric structures. Presented at
the Fiber Society Annual Technical Conference, Natick, Massa-
chusetts, 16–18 October 2002.
[5] Freeston Jr WD, Claus Jr WD. Strain-wave reflections during
ballistic impact of fabric panels. Text Res J 1973;43(6):348–
51.
[6] Navarro C. Simplified modeling of the ballistic behaviour of
fabrics and fibre-reinforced polymeric matrix composites. Key
Eng Mater 1998;141–143(1):383–400.
[7] Ting C, Ting J, Cunniff P, Roylance D. Numerical characteriza-
tion of the effects of transverse yarn interaction on textile ballistic
response. In: Proceedings of the 1998 30th International SAMPE
Technical Conference, San Antonio, Texas, 20–24 October 1998.
p. 57–67.
[8] Shim VPW, Tan VBC, Tay TE. Modelling deformation and
damage characteristics of woven fabric under small projectile
impact. Int J Impact Eng 1995;16(4):585–605.
[9] Lee BL, Walsh TF, Won ST, Patts HM, Song JW, Mayer AH.
Penetration failure mechanisms of armor-grade fiber composites
under impact. J Compos Mater 2001;35(18):1605–33.
[10] Roylance D, Wang SS. Penetration mechanics of textile struc-
tures. In: Laible RC, editor. Ballistic Materials and Penetra-
tion Mechanics. New York: Elsevier Scientific Publishing Co;
1980.
[11] Field JE, Sun Q. A high speed photographic study of impact
on fibres and woven fabrics. In: The Proceeding of the 19th
International Congress on High-Speed Photography and Photon-
ics Part 2, 16–21 September 1990. p. 703–12.
[12] Parga-Landa B, Hernandez-Olivares F. An analytical model to
predict impact behaviour of soft armors. Int J Impact Eng
1995;16(3):455–66.
[13] Wang Y, Xia Y. The effects of strain rate on the mechanical
behavior of Kevlar fibre bundles: an experimental and theoretical
study. Composites, Part A 1998;29A:1411–5.
[14] Wang Y, Xia Y. Experimental and theoretical study on the strain
rate and temperature dependence of mechanical behaviour of
Kevlar fibre. Composites, Part A 1999;30:1251–7.
[15] Wang Y, Xia Y. Dynamic tensile properties of E-glass Kevlar 49
and polyvinyl alcohol fiber bundles. J Mater Sci Lett 2000;19:
583–6.
[16] Gu BH. Strain rate effects on the tensile behavior of fibers and its
application to ballistic perforation of multi-layered fabrics. J
Dong Hua Univ (English edition) 2002;19(1):5–9.
[17] Shim VPW, Lim CT, Foo KJ. Dynamic mechanical properties of
fabric armour. Int J Impact Eng 2001;25(1):1–15.
[18] Chocron-Benloulo IS, Rodriguez J, Martinez MA, Sanchez
Galvez V. Dynamic tensile testing of aramid and polyethylene
fiber composites. Int J Impact Eng 1997;19(2):135–46.
[19] Lim CT, Tan VBC, Cheong CH. Perforation of high-strength
double-ply fabric system by vary shaped projectiles. Int J Impact
Eng 2002;27:577–91.
[20] Prosser RA, Cohen SH, Segars RA. Heat as a factor in the
penetration of cloth ballistic panels by 0.22 caliber projectiles.
Text Res J 2000;70(8):709–22.
[21] Laible RC. Fibrous armor. In: Laible RC, editor. Ballistic
Materials and Penetration Mechanics. New York: Elsevier Scien-
tific Publishing Co; 1980.
[22] Cunniff PM. Dimensionless parameters for optimization of textile-
based body armor systems. In: Proceedings of the 18th Interna-
tional Symposium on Ballistics, San Antonio, Texas, 15–19
November 1999. p. 1303–10.
[23] Roylance D, Wilde A, Tocci G. Ballistic impact of textile
structures. Text Res J 1973;43:34–41.
[24] Chitrangad. Hybrid ballistic fabric. United States Patent No.
5,187,003, 16 February 1993.
[25] Montgomery TG, Grady PL, Tomasino C. The effects of
projectile geometry on the performance of ballistics fabrics. Text
Res J 1982;52(7):442–50.
[26] Kirkland KM, Tam TY, Weedon GC. New third-generation
protective clothing from high-performance polyethylene fiber.
In: Vigo TL, Turbak AF, editors. High-tech Fibrous Materials.
Washington DC: American Chemical Society; 1991.
[27] Lee BL, Song JW, Ward JE. Failure of Spectra polyethylene fiber-
reinforced composites under ballistic loading. J Compos Mater
1994;28(13):1202–26.
[28] Walsh TF, Lee BL, Song JW. Penetration failure mechanisms of
woven textile composites. In: Proceedings of the American Society
for Composites 11th Technical Conference, Atlanta, Georgia, 7–9
October 1996. p. 979–88.
[29] First Defense, http://www.firstdefense.com/html/vest_kevlar_vs_
spectra.htm.
[30] Bazhenov S. Dissipation of energy by bulletproof aramid fabric.
J Mater Sci 1997;32:4167–73.
[31] Tan VBC, Lim CT, Cheong CH. Perforation of high-strength
fabric by projectiles of different geometry. Int J Impact Eng
2003;28(2):207–22.
[32] Martinez MA, Navarro C, Cortes R, Rodriguez J, Sanchez-
Galvez V. Friction and wear behaviour of Kevlar fabrics. J Mater
Sci 1993;28:1305–11.
[33] Lyons WJ. Impact phenomena in textiles. Cambridge, Massachu-
setts: MIT Press; 1963.
[34] Carr DJ. Failure mechanisms of yarns subjected to ballistic
impact. J Mater Sci Lett 1999;18:585–8.
[35] Mitchell CA, Carr DJ. Post failure examination of a new body
armour textile by the use of an environmental scanning electron
microscope. Electron Microsc Anal 1999;161(3):103–6.
[36] Iremonger MJ. Polyethylene composites for protection against
high velocity small arms bullets. In: Proceedings of the 18th
International Symposium on Ballistics, San Antonio, Texas, 15–
19 November 1999. p. 946–53.
[37] Susich G, Dogliotti LM, Wrigley AS. Microscopic study of multi-
layer nylon body armor panel after impact. Text Res J
1958;28:361.
[38] Prevorsek DC, Kwon YD, Chin HB. Analysis of the temperature
rise in the projectile and extended chain polyethylene fiber
composite armor during ballistic impact and penetration. Polym
Eng Sci 1994;34(2):141–52.
172 B.A. Cheeseman, T.A. Bogetti / Composite Structures 61 (2003) 161–173
[39] Desper CR, Cohen SH, King AO. Morphological effects of
ballistic impact on fabrics of highly drawn polyethylene fibers. J
Appl Polym Sci 1993;47(7):1129–42.
[40] Lin LC, Bhatnagar A, Lang DC, Chang HW. Comparison of
ballistic performance of composites. In: Proceedings of the 33rd
International SAMPE Symposium, Anaheim, California, 7–10
March 1988. p. 883–9.
[41] Hiermaier SJ, Riedel W, Hayhurst CJ, Clegg RA, Wentzel CM.
Advanced material models for hypervelocity impact simulations
AMMHIS. European Space Agency Contract Report, 30 July
1999. EMI-Report No. E43/99.
[42] Hayhurst CJ, Hiermaier SJ, Clegg RA, Riedel W, Lambert M.
Development of material models for Nextel and Kevlar-epoxy for
high pressures and strain rates. Int J Impact Eng 1999;23:365–
76.
[43] Cunniff PM. Decoupled response of textile body. In: Proceedings
of the 18th International Symposium on Ballistics, San Antonio,
Texas, 15–19 November 1999. p. 814–21.
[44] Cunniff PM. The V50 performance of body armor under oblique
impact. In: Proceedings of the 18th International Symposium on
Ballistics, San Antonio, Texas, 15–19 November 1999. p. 814–21.
[45] Cunniff PM. The performance of poly(para-phenylene benzobiz-
oxazole) (PBO) fabric for fragmentation protective body armor.
In: Proceedings of the 18th International Symposium on Ballistics,
San Antonio, Texas, 15–19 November 1999. p. 814–21.
[46] Iremonger MJ, Went AC. Ballistic impact of fibre composite
armours by fragment-simulating projectiles. Composites, Part A
1996;27A:575–81.
[47] Scott BR. The penetration of compliant laminates by compact
projectiles. In: Proceedings of the 18th International Symposium
on Ballistics, San Antonio, Texas, 15–19 November 1999. p. 1184–
91.
[48] Larsson F, Svensson L. Carbon, Polyethylene and PBO hybrid
fiber composites for structural lightweight armour. Composites,
Part A 2002;33:221–31.
[49] Thomas HL. Multicomponent structures for ballistic protection.
http://www.eng.auburn.edu/~hthomas/Ballisticprotection.PDF,
undated.
[50] Chitrangad. Aramid ballistic structure. United States Patent No.
6.036,683. 29 February 2000.
[51] Chitrangad. Ballistic structure. United States Patent No.
5,275,873. 4 January 1994.
[52] Shockey DA, Erlich DC, Simons JW. Improved barriers to
turbine engine fragments: interim report III. US Department of
Transportation Federal Aviation Administration Report, DOT/
FAA/ER-99/8,III, May, 2001.
[53] Starratt D, Pageau G, Vaziri R, Poursartip A. An instrumented
experimental study of the ballistic impact response of Kevlar
fabric. In: Proceedings of the 18th International Symposium on
Ballistics, San Antonio, Texas, 15–19 November 1999. p. 1208–15.
[54] Starratt D, Sanders T, Cepus E, Poursartip A, Vaziri R. An
efficient method for continuous measurement of projectile motion
in ballistic impact experiments. Int J Impact Eng 2000;24:155–70.
[55] Briscoe BJ, Motamedi F. The ballistic impact characteristics of
aramid fabrics: the influence of interface friction. Wear 1992;
158(1–2):229–47.
[56] Briscoe BJ, Motamedi F. Role of interfacial friction and lubri-
cation in yarn and fabric mechanics. Text Res J 1990;60(12):697–
708.
[57] Chitrangad, Rodriguez-Parada JM. Flourinated finishes for
aramids. United States Patent No. 5,266,076, 30 November 1993.
[58] Rebouillat S. Surface treated aramid fibers and a process for
making them. United States Patent No. 5,520,705, 28 May 1996.
[59] Rebouillat S. Tribological properties of woven para-aramid
fabrics and their constituent yarns. J Mater Sci 1998;33:3293–301.
[60] Lavielle L. Polymer polymer friction––relation to adhesion. Wear
1991;151:63–75.
[61] Dischler L. Bullet resistant fabric and method of manufacture.
United States Patent No. 6,248,676, 19 June 2001.
[62] Duan Y. Personal communication, August 2002.
B.A. Cheeseman, T.A. Bogetti / Composite Structures 61 (2003) 161–173 173