Ballistic Test of Multilayered Armor with Intermediate Epoxy Composite Reinforced with Jute Fabric

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Multilayered armors with a front ceramic followed by aramid fabric (Kevlar™) are currently used against high velocity ammunition. In these armors, a front ceramic layer that shatters and spalls the bullet is followed by an intermediate layer, usually plies of aramid fabric, which dissipates both the bullet and ceramic fragments energy. In the present work, the intermediate aramid fabric layer was replaced by an equal thickness layer of 30 vol% jute fabric reinforced epoxy composite. Ballistic impact test with 7.62 caliber ammunition revealed that both the plain epoxy and the jute fabric composite have a relatively similar performance of the Kevlar™ and also attended the NIJ standard for body protection. The energy dissipation mechanisms of jute fabric composite were analyzed by scanning electron microscopy and found to be the rupture of the brittle epoxy matrix as well as the interaction of the jute fibers with the post-impact fragments. This latter is the same mechanism recently disclosed for aramid fabric. However, the lightness and lower cost of the jute fabric composite are additional advantages that favor its substitution for the aramid fabric.

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DOI: http://dx.doi.org/10.1590/1516-1439.358914

Ballistic Test of Multilayered Armor with Intermediate

Epoxy Composite Reinforced with Jute Fabric

_Fernanda Santos da Luz_ _a_ _, Edio Pereira Lima Junior_ _a_ _, Luis Henrique Leme Louro_ _a_ _,_

_Sergio Neves Monteiro_ _a_ _*_

_aDepartamento de Ciência dos Materiais, Instituto Militar de Engenharia – IME,_
_Praça General Tibúrcio, 80, Praia Vermelha, Urca, CEP 22290-270, Rio de Janeiro, RJ, Brazil_

Received: November 21, 2014; Revised: July 28, 2015

Multilayered armors with a front ceramic followed by aramid fabric (Kevlar ™ ) are currently used
against high velocity ammunition. In these armors, a front ceramic layer that shatters and spalls the
bullet is followed by an intermediate layer, usually plies of aramid fabric, which dissipates both the
bullet and ceramic fragments energy. In the present work, the intermediate aramid fabric layer was
replaced by an equal thickness layer of 30 vol% jute fabric reinforced epoxy composite. Ballistic impact
test with 7.62 caliber ammunition revealed that both the plain epoxy and the jute fabric composite
have a relatively similar performance of the Kevlar ™ and also attended the NIJ standard for body
protection. The energy dissipation mechanisms of jute fabric composite were analyzed by scanning
electron microscopy and found to be the rupture of the brittle epoxy matrix as well as the interaction
of the jute fibers with the post-impact fragments. This latter is the same mechanism recently disclosed
for aramid fabric. However, the lightness and lower cost of the jute fabric composite are additional
advantages that favor its substitution for the aramid fabric.

Keywords: _ballistic test, multilayered armor, jute fabric composite, bullet penetration depth_

1. Introduction

Bullet proof vests for personal protection may use a
single layer armor with just one ballistic resistant material
as that of a composite formed with plies of aramid fabric; the
well known Kevlar ™[1,2] . This protection, however, is limited
to relatively low impact velocity (vi < 600 m/s) projectiles,
such as a 9 mm ammunition. Protection against high impact
velocity (vi > 700 m/s) ammunition, such as a 7.62 mm
caliber bullet requires a multilayered armor system (MAS) 3,4 .
To stand the 7.62 mm fast bullet with perforating power,
a conventional MAS possesses a front ceramic tile, which
absorbs most of the impact energy. This energy dissipation
mechanism combines not only the bullet spalling but also the
fragmentation of the brittle ceramic 5,6 . A high velocity impact
projectile will also produce a blast of fragments, both from
the bullet and the ceramic, with sufficient energy to inflict
lethal personal trauma. Consequently, a second layer is added
after the front ceramic to decrease even further the energy
of the blast of fragments associated with the post-impact
shock wave. In usual MAS configuration, Kevlar ™ acts as
the second layer and may be followed by a ductile metal
sheet, like aluminum, to restrict the penetration of fragments
in a body. Eventually, a spall shield covers the MAS front,
before the ceramic, to avoid flight way fragments 6 . The use
of Kevlar ™ as the second intermediate layer is indicated by
the aramid fiber strength around 4,000 MPa 7, which is much
higher than any conventional material and comparable to
carbon fiber. It is reported that the Kevlar ™ ballistic energy

dissipation occurs by yarn rupture and elastic stretching as
well as friction and pullout in the aramid fabric 2,8 .

Another factor affecting the energy absorbed in a MAS
is the shock impedance at the interface between layers 9 .
Upon projectile impact in the front layer, a compressivetransverse wave travels inside the ceramic and suffers
multiple reflections as it crosses the other interfaces. The
nature of the reflected waves depends on the impedance of
the interface. A lesser dense second layer, such as Kevlar ™, is
associated with relatively lower shock impedance and causes
the compressive component of the wave to reflect as a tensile
wave 10 . This contributes to an effective fragmentation of the
brittle ceramic. Furthermore, the proceeding compressive wave
travelling in the other MAS layers will carry a comparatively
lower transmitted energy. Thus, the lesser dense is the second
layer, the more efficient is the energy absorption.

Another possible second layer to be used is substitution
for the Kevlar ™ with even lower density could be a natural
fiber reinforced polymer composite. Natural fibers, especially
those extracted from plants, are used since the beginning of
our civilization in simple items, such as ropes, baskets and
fabrics. From the middle of last century, several natural fibers
were incorporated into different matrices to be applied as
engineering materials 11 . In past decades, an exponential growth
in both research works 12-22 and industrial applications 23-25
has confer to natural fiber composites a prominent position
owing to their technical properties (lightness, lower abrasion
to molding equipments, toughness and strength) as well as

i l i l d i l d 20

Among the natural fibers, that extracted from the stem
of the jute plant ( _Corchorus capsularis_ ) is worldwide
cultivated and has been extensively investigated in this
decade as composite reinforcement 26-32 . The jute fiber was
reported 20 to present density, 1.30-1.45 g/cm 3 and tensile
strength, 393-800 MPa, convenient to replace synthetic
fibers in polymer composites. In particular, both recycled
and new fabrics made from jute fiber yarns, were found to
significantly increase the Charpy and Izod impact energy
of a polyethylene matrix 33,34 .

As for the possibility of using jute fiber composites as
ballistic resistant material, Wambua et al. 35 investigated
the performance of polypropylene matrix reinforced with
46 vol% of jute plain woven. Their composites were
either faced or sandwiched by mild steel sheets. In terms
of energy absorption, they concluded that the sandwiched
(steel/composite) have advantage over neat steel and plain
jute composite. Moreover, the composite dominant failure
modes included delamination as well as fiber rupture and shear
cut-out. Despite these relevant information, it was not the
direct scope of their work 35 to assess the ballistic performance
of jute composites as armor for personal protection. This is
for the first time conducted in the present work.

Based on the aforementioned considerations, the ballistic
performance of armors composed of a front ceramic and
an intermediate composite as well as a back aluminum
layers was investigated in terms of depth of penetration
into clay witness simulating a personal body. Ballistic tests
were conducted in MAS with a front Al2O3-based ceramic
tile. As the following intermediate layer, lighter jute fabric
reinforced epoxy composite plates were compared (same
thickness), to plain epoxy plates and Kevlar ™ . The contribution
of each separated material was also assessed by individual
ballistic tests. The fracture aspects of the different types of
intermediated layer materials were analyzed by scanning
electron microscopy.

2. Material and Methods

Figure 1 illustrates schematically the side view of the
multilayered armor system (MAS) arrangement used in
this investigation. The front layer (A), first to be hit by the
projectile, was a 10 mm thick hexagonal tile with 31mm of
side dimension and made of 4 wt% Nb2O5 doped Al2O3 impact
resistant ceramic. Ceramic tiles were fabricated by sintering
Al2O3 powder (0.3 µm of particle size) supplied by Treibacher
Schleifmittel as commercial purity (US$ 1.59/kg) mixed with
Nb2O5 powder (0.69 µm of particle size) supplied by the
Brazilian firm CBMM as 99% pro-analysis (US$ 16.13/kg).
Sintering was carried out at 1,400 ºC for 3 hours under air.
Before tests, the clay witness was subjected to thermal
treatments and evaluated according to the norm.

The intermediate layer (B) with 10 mm in thickness
and square sides with 150 mm was either: (i) Kevlar ™ with
16 plies of aramid fabric, or (ii) 30 vol% of jute fabric
reinforced epoxy matrix composite (jute fabric composite
for short) plate, or (iii) plain epoxy plate. The Kevlar ™ was
supplied by the Brazilian firm LFJ Blindagem Com. Serv.
S.A. (US$ 47.69/kg). The jute fabric was supplied by a
Brazilian textile industry Lealtex Ltda. in the form of a roll
(US$ 8.38/kg). Pieces of fabric were taken from the roll, dried
at 60 ºC in a laboratory stove for 2 hours, and placed with

h i id l ld h Ch i l

produced diglycidyl ether of the bisphenol-A (DGEBA) epoxy
resin and the trietylene tetramine (TETA) as hardener were
supplied by the Brazilian firm Resinpoxy (US$ 19.35/kg).
Still fluid epoxy resin mixed with phr stoichiometric fraction
of the hardener was poured in between the fabric pieces
onto the mold. A pressure of 5 MPa was applied and the
composite plate cured for 24 hours. Figure 2a illustrates a
plate of jute fabric composite. In a similar procedure, plain

Figure 1. Schematic diagram of the multilayered armor.

Figure 2. Plate of jute fabric composite (a) and the actual front

DGEBA/TETA epoxy plates were also fabricated. The back
layer (C) was a 150 × 150 mm 5052-H34 aluminum alloy
sheet with 5 mm in thickness, supplied by the Brazilian firm
Metalak (US$ 12.43/kg). These layers were bonded in the
composite with commercial Sikaflex ™ adhesive supplied
by the Brazilian firm Sika Co. Figure 2b shows the actual
front view of a typical jute fabric composite second layer
MAS target. The density of each distinct MAS component:
ceramic tile (3.51 ± 0.60 g/cm 3 ); jute fabric composite
(1.13 ± 0.07 g/cm 3 ); aramid fabric (1.08 ± 0.03 g/cm 3 ) was
determined by precise measurements of volume and mass
in 20 samples, using Weibull statistics.

In direct contact with this metallic back layer, a block of
clay witness simulated a body protected by the MAS. The clay
witness was a commercially supplied CORFIX ® plastilene.
The trauma in the clay duplicates the plastic deformation
imposed by the projectile impact on the aluminum back layer.
The corresponding depth of penetration was measured with
a special Mitutoyo caliper with an accuracy of 0.01 mm, as
shown in Figure 3. At least 15 measurements were performed
for each test and the average/deviation values determined
by means of the Weibull statistics. Eventual random and
systematic errors were identified and treated as per this
statistical methodology.

The ballistic tests were conducted at the Brazilian Army
shooting range facility, CAEX, in the Marambaia peninsula,
Rio de Janeiro. All tests, 10 for each type of MAS target,
were carried out according to the NIJ 0101.06 standard using
7.62 × 51 mm NATO military ammunition (7.62 mm for
short) with a 9.7 g projectile propelled from a gun barrel.
Figure 4 shows, schematically, the exploded view of the
ballistic test setup. A dashed straight line indicates the
projectile trajectory. A steel frame was used to position the
target, which was held in place by spring clips. The gun,
located 15 m from the target, was sighted on its center with
a laser beam. The exact velocity of the projectile at two
moments: leaving the gun and immediately before impacting
the MAS target was measured by an optical barrier, Figure 4,
and a model SL-52 OP Weibel fixed-head Doppler radar
system. Tests in which the target was totally perforated,
allowed the residual velocity of the outcoming projectile to
be measured. Fractured samples of each MAS component
after the ballistic test were analyzed by scanning electron
microscopy (SEM) in either a model FSM 6460 LV Jeol or
a model QUANTA FEG250 Fei microscopes operating with
secondary electrons at 20 kV.

3. Results and Discussion

All ballistic tests conducted in MAS targets failed to
perforate the materials and the impact energy was dissipated
inside the armor in association with a penetration depth
in the clay witness, as shown in Figure 3. To evaluate the
individual ballistic behavior of each distinct intermediate
layer, tests were separately performed in the ceramic tile,
Kevlar ™, jute fabric composite plate and plain epoxy plate.
In these tests, contrary to the MAS tests, the target was always
perforated. Therefore, in addition to the impact velocity (vi),
the projectile residual velocity (vr) after perforation could

l b d

Table 1 presents the average depth measured in the clay
witness, Figure 3, for the different MAS targets investigated.
In this table, some points are worth discussing. The three
materials, tested as the intermediate layer that follows the
front ceramic layer, showed corresponding penetration depth
below the NIJ 0101.06 standard limit of 44 mm for serious
body trauma. The Kevlar ™, with 23 ± 3 mm, displays the
deepest average penetration value in confront to both the
jute fabric composite, with 21 ± 3 mm and the plain epoxy,
with 20 ± 1 mm. However, by considering the corresponding
deviations, the three different MAS targets display similar
ballistic performance. For application in armor vest, it is
important to mention that the jute fabric composite is lighter
and significantly cheaper than the Kevlar ™ . These are factors
that are further discussed and might play practical advantages
in considering the substitution of jute fabric composites
for Kevlar ™ in a MAS for personal protection against high
velocity projectiles.

The projectile impact against the first MAS ceramic layer,
which is responsible for most of the energy dissipation 5,6 is
associated with spalling of the brittle ceramic tile. In order
to investigate its fracture, ceramic particles collected after
the tests were observed by SEM after gold sputtering to
provide an electrical conducting coating. Figure 5 shows the

d i lli b i l f f f ll d

Figure 3. Measurement of the depth of penetration in the clay
witness caused by the projectile impact.

Figure 4. Schematic exploded view of the ballistic experimental setup.

Table 1. Average depth of penetration in the clay witness backing
different multilayered armors.

Intermediate Layer

Material

Depth of Penetration (significant
figures) from Measurements and

Weibull Analysis (mm)

Kevlar ™ 23 ± 3
Epoxy composite 21 ± 3

reinforced with
30% of jute fabric

21 ± 3

Plain epoxy plate 20 ± 1

macroscopic ceramic particle, which is almost splitting
into microscopic fragments associated with grains. Grain
boundary embrittlement was caused by the 4 wt% Nb2O5
addition to the Al2O3. This contributes to dissipate more
energy by increasing the fractured surface. As indicated by
Medvedovski 6, a 7.62 mm projectile causes different kinds
of cracks to be formed during the impact. This complex
pattern of propagating cracks associated with intercrystalline
fracture is observed in Figure 5.

Figure 6 shows the damage region of the Kevlar ™ caused
by blast of fragments resulting from the projectile impact
against the front ceramic tile. The general features in Figure 6a
corroborate evidences, pointed by arrows of fiber pullout
from the fabric yarn, fiber stretching and fiber rupture 2,8 .
Additionally, Figure 6b reveals a massive participation of
bright and white particles of Al2O3 attached to the fibers.
This indicates that the Kevlar ™ contributes in the energy
dissipation by collecting ceramic fragments. Indeed, in a
recent publication 36, the main energy absorption mechanism of
the aramid fabric in a MAS was found to consist on its fibers
capacity to collect fragments by mechanical incrustation and
van der Waals forces. A surprising conclusion was that the
superior strength and stiffness of the Kevlar ™ in a MAS is
not as important as its fragment collecting capacity.

Figure 7 shows the fracture region of a jute fabric
composite after penetration by fragments resulting from the
projectile impact suffered by the front ceramic tile. In this
Figure 7a, with higher magnification, it is observed the jute
fabric separation in thinner fibrils, which is a characteristic of
its mechanical rupture 34 . This certainly contributes to absorb
the impact energy. Moreover, the fracture of the brittle epoxy
matrix in Figure 7b is another source of energy dissipation.
Similar to what was recently reported 36 and here found in
the damaged Kevlar ™, Figure 6b, the capture of fragments
also impregnated the jute fabric composite (fiber and epoxy
matrix) by bright and white particles shown in Figure 7.

Figure 8 shows the fracture of a plain epoxy after hit by
fragments (projectile/ceramic) resulting from the projectile
impact in the front ceramic tile. In addition to collected
fragments, an important mechanism for energy dissipation
in this figure is the nucleation and propagation of cracks in
a typical “river pattern” characteristic of brittle polymers.
Consequently, the plain epoxy rupture might also be efficient
in reducing the energy or stopping fragments from the ballistic
post-impact. This explains the similar depth, Table 1, as
compared with the Kevlar ™ and the jute fabric composite.

The contribution of each MAS component was assessed
b i di id l b lli i i h i i 62

Figure 5. Fracture surface of a particle from the Al2O3 after the
ballistic test.

Figure 6. Damaged Kevlar ™ by fragments (projectile/ceramic)
after the ballistic impact: (a) lower magnification and (b) higher i

mm, and methodology described in the previous section.
Individual targets of the separate component layers indicated
in Figure 1: Al2O3 ceramic tile, Kevlar ™, jute fabric composite
plate and plain epoxy plate, were tested in 10 samples of each.
All targets were completed perforated after these individual
tests. Not only the projectile impact velocity (vi) but also
the residual velocity (vr) of the fragments passing through
the target were measured by the Doppler radar system. The
corresponding Ei and Er kinetic energies were calculated
by Equation 1:

E = _1_ mv _2_ (1)
_2_

The amount of energy ΔEd, dissipated inside the target
could be estimated by Equation 2:

d = 1 m ( vi _2_ _-_ v _2_ r )

Ed = 1 m ( vi _2_ _-_ v
2

∆ Ed = 1 m ( vi _2_ _-_ v _2_ r ) (2)

where m = 9.7 g is the projectile mass.

Figure 7. Fracture region of a jute fabric composite caused by
fragments after the ballistic impact.

Radar spectrum analyses were performed for Kevlar ™,
jute fabric composite and plain epoxy targets. In these cases,
the residual velocities were found to be relatively closer to
the corresponding impact velocities.

Table 2 presents the impact and residual velocities
as well as the internally dissipated energy, Equation 1,
from ballistic tests of individual MAS components. In this
table, it is important noticing the more than 50% of energy
dissipation in the ceramic as compared to less than 6% for
the other components. The Kevlar ™ dissipates the lowest
amount, (0.06 kJ) of energy in comparison with jute fabric
composite (0.16 kJ) and plain epoxy (0.19 kJ). This is coherent
with the results in Table 1, where the Kevlar ™ presents, in
average, the lowest ballistic performance in terms of depth
of penetration although within the same precision intervals
for jute fabric composite and plain epoxy.

The possible explanation for this relatively low individual
absorption energy of the aramid Kevlar ™ in the present ballistic
tests might be associated with the type of ammunition. A direct
strike of a high velocity sharp-pointed 7.62 mm projectile
penetrates easily in between a single aramid fabric weave not
only breaking and stretching the fibers but also separating or
pulling out the yarns. This is certainly not the case of energyreduced blunt fragments resulting from eroded and shattered
7.62 mm projectile after striking the front ceramic layer in a
MAS. In this case, as recently revealed 36 and corroborated
by the present results, the Kevlar ™ is an efficient MAS
component to prevent personal trauma. However, both in
MAS, Table 1, or individually, Table 2, Kevlar ™ may not
be as effective barrier to a 7.62 mm projectile as compared
to a jute fabric composite or a plain epoxy, in which the
brittle matrix is able to dissipate additional energy, Table 2,
by polymer spalling.

Table 3 presents densities (measured in laboratory) and
specific prices (provided by suppliers in 2015) for both fabrics,
aramid and jute, as well as the plain DGEBA/TETA epoxy
and the Al2O3 + 4% Nb2O5 ceramic. These data permitted
the evaluation of weight and cost of each distinct component
and total MAS target. For calculation, the face area of the
ceramic (smaller hexagonal tile in Figures 1 and 2) was

Figure 8. Fracture region of a plain epoxy caused by fragments ceramic (smaller hexagonal tile in Figures 1 and 2) was
id d 1 0 1 0 ( l i i ) i il h

Table 2. Impact and residual velocities together with internally dissipated energy in individually ballistic tested MAS components.

vi
MAS component
(m/s)

vi Ei vr Er ΔEd
MAS component
(m/s) (kJ) (m/s) (kJ) (kJ)

Al2O3 ceramic 848 ± 6 3.49 ± 0.05 567 ± 43 1.60 ± 0.30 1.9
(100%) (54%)

Ei
(kJ)

vr
(m/s)

Er
(kJ)

O3 ceramic 848 ± 6 3.49 ± 0.05 567 ± 43 1.60 ± 0.30 1.9
(100%) (54%)

Kevlar ™ 848 ± 6 3.49 ± 0.05 841 ± 7 3.40 ± 0.06 0.06
(100%) (1.7%)

Jute fabric composite 842 ± 7 3.44 ± 0.06 835 ± 6 3.30 ± 0.05 0.16
(100%) (4.7%)

Plain epoxy 850 ± 2 3.50 ± 0.03 (100%) 827 ± 6 3.30 ± 0.05 0.19
(5.3%)

Table 3. Evaluation of weight and cost of the different multilayered armor components.

Volume
Armor component

(cm 3 )

Density

(g/cm 3 )

Weight

(kgf)

Price per kg
(US dollars)

Component

Volume Density Weight Price per kg
Armor component cost

(cm 3 ) (g/cm 3 ) (kgf) (US dollars)

(US dollars)
Ceramic tile 225 3.51 0.790 2.18 1.72
Aramid 225 1.08 0.243 47.69 11.59
Jute fabric composite 225 1.13 0.254 Jute fabric (30%) 4.06

(cm 3 )

0.254 Jute fabric (30%)

Jute fabric (30%) 4.06

8.38

plate

225 1.13
Epoxy (70%) 19.35

Plain epoxy plate 225 1.30 0.293 19.35 5.67

5052-H34 aluminum
alloy sheet

112.5 2.70 0.304 12.43 3.78

Total weight with aramid (kgf) 1.337 Total cost with aramid fabric 17.09
Total weight with jute fabric composite (kgf) 1.348 Total cost with jute fabric composite 9.56
Total weight with plain epoxy (kgf) 1.387 Total cost with plain epoxy 11.17
Increase in weight of MAS with jute fabric 0.82 Decrease in cost (%) of MAS with jute fabric composite as 44.06
composite as compared to aramid fabric (%) compared to aramid fabric (%)

44.06

14.41

Decrease in weight of MAS with jute fabric
composite as compared to plain epoxy (%)

0.82 Decrease in cost (%) of MAS with jute fabric composite as
compared to aramid fabric (%)

2.81 Decrease in cost (%) of MAS with jute fabric composite as
compared to plain epoxy (%)

other MAS components. In terms of lightness, only a negligible
advantage (<1%) favors the aramid fabric. As for cost saving,
the MAS with jute fabric composite is substantially cheaper
than both the aramid fabric (44%) and the plain epoxy
(14%). Based on similar depth of penetrations, Table 1,
and individual dissipated energies, Table 2, one could not
find a stronger reason to replace the aramid fabric for either
jute fabric composite or plain epoxy in a MAS. However,
the cost saving results in Table 3 support this replacement.
In addition to cost saving, the reader might also see relevant
advantages in favor of the jute fabric composite application
in our modern society. Environmental and societal benefits
are currently associated with the use of a natural fiber 11-22,
which is renewable, recyclable and neutral with respect to
CO2 emission as well as a source of income and jobs in
developing regions. These are today valuable factors to be
considered for engineering applications and might contribute
to change the current state of the art in MAS vests. In the
present investigation, they support a preliminary indication
that the jute fabric composite is the most convenient MAS
second layer.

4. Summary and Conclusions

A multilayered armor system (MAS), in which the
conventional Kevlar ™, following a front ceramic, was
replaced by either an epoxy matrix composite reinforced with
30 vol% of jute fabric or plain epoxy plate attended the NIJ
li i f b lli i i h 62 i i

The ballistic performance, within the statistical deviation,
was found to be similar for the three investigated MAS
second layer materials. However, in perforating individual
ballistic tests, the aramid fabric dissipated less energy, while
the jute fabric composite and the plain epoxy are more
efficient. Although not representative of what occurred in
tests with MAS tests, the energy dissipated by each individual
material, contribute to reveal the ballistic relevance of the
epoxy rupture mechanism.

Evidence of massive collection of post-impact fragments
by the jute fabric composite as well as by the aramid fabric,
which was also recently reported, has been proposed as the
main mechanism of energy dissipation. Additional capture
of fragments and spalling of the brittle epoxy (plain or
composite matrix) significantly contribute to dissipate the
pos-impact energy.

Despite similar ballistic performance and negligible
difference in weight, the significantly lower cost in association
with environmental and societal benefits of a natural fiber,
in practice, favor the substitution of jute fiber composite for
both aramid and plain epoxy in a MAS.

Acknowledgements

The authors thank the support to this investigation by
the Brazilian agencies: CNPq, CAPES and FAPERJ. It is
also acknowledged the permission to the use of the SEM

i b h f CO /

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