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T E C H N I C A L A R T I C L E
Measuring Delamination Severity of Glass Fiber-ReinforcedEpoxy Composites During Drilling Process
V.A. Nagarajan1, S. Sundaram2, K. Thyagarajan3, J. Selwin Rajadurai4, and T.P.D. Rajan5
1 Faculty of Mechanical Engineering, Anna University, Tirunelveli, Nagercoil, India2 Department of Manufacturing Engineering, Annamalai University, Chidambaram, India
3 Department of Mechanical Engineering, Noorul Islam College of Engineering, Kumarcoil, India
4 Department of Mechanical Engineering, Government College of Engineering, Tirunelveli, India
5 National Institute for Interdisciplinary Science and Technology, CSIR, Trivandrum, India
Keywords
Drilling, Delamination Severity, MATLAB,
Glass Fiber Epoxy Composites
Correspondence
J. Selwin Rajadurai,Department of Mechanical Engineering,
Government College of Engineering,
Tirunelveli, Tamilnadu, India
Email: [email protected]
Received: June 27, 2011; accepted:
December 3, 2011
doi:10.1111/j.1747-1567.2012.00809.x
Abstract
Glass fiber-reinforced epoxy composites are one of the potential light-
weight structural materials used in various engineering applications due
to its excellent properties. Drilling is most widely applied for fastening the
composite structures; nevertheless, the damage induced by this operation may
reduce the component performance drastically. To establish the damage level,
delamination is measured quantitatively using digital imaging techniques. In
this study, to quantify the delamination severity effectively, a new refined
delamination factor (FDR) is proposed and validated using experimental results
observed from three-point bend tests (3PT) and modified short beam shear tests.
The value of determined refined delamination factor (FDR) is more accurate
compared to the calculated conventional (FD) and adjusted (FDA) delamination
factors.
Introduction
Application of composite materials is dominating
in engineering field due to good specific strength,
stiffness, fatigue limit, light weight, and near net shape
production technique available for the processing,
molding, and curing of fiber-reinforced plastics
(FRP) to achieve the desired tolerances.1 One of
the main difficulties associated with drilling of
composite material is delamination failure. According
to Khashaba,2 delamination is one of the main
reasons for the rejection of approximately 60%
of the composite components produced in aircraft
industries. When the stresses induced in the layers of
the laminate during the drilling operation exceed theinterlaminar strength of the laminate, delamination
failure occurs. The influence of factors such as tool
geometry and machining parameters on delamination
has been studied by several researchers. Nevertheless,
few authors have approached both tool geometry
and high-speed machining (HSM) when drilling
composites, more specifically glass fiber composites.
Even though many researchers have attempted
on the effect of tool geometry and machining
parameters on delamination, only very few have
focused on the same with drilling of composite
laminates. Influence of different drill geometry on
delamination of laminates fabricated through hand
lay-up technique was investigated by Davim et al.3
The author employed a toolmakers microscope to
evaluate the damage. In that study, the influence of
vibration frequency and amplitude during drilling of
composites was considered. Arul et al.4 express that
the delamination factor as the ratio of maximum
diameter in the damaged zone to the drill diameter.
The results indicated that the damage increases withincrease in both cutting speed and feed rate. Next,
the authors employed an optical microscope coupled
with an image analyzer to study the extent of
defects caused by drilling. In this work, the authors
characterize delamination factor as a ratio of the
maximum diameters in the damaged zone to the
drill diameter. After drilling holes of small diameters,
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Aoyama et al.5 concluded that the delamination is
generated along the fiber in the hole wall surface and
it propagates as the surface roughness increases. Apart
from the above, few more works were carried out in
the field of HSM, and attempts were made to obtain
relationship between various controllable parameters
and their influence on quality of drilled hole. Kao
et al.6 investigated the tribological properties of coated
drills against the holes drilled on glass fiber-reinforced
epoxy resin laminates. From the results, the authors
concluded that drills coated with 5% MoS2 Cr
have increased the life of the drill bits, two times
than that of uncoated drills. The influence of tool
point angle, spindle speed, and feed with respect to
delamination was discussed, and the delamination
was also measured digitally in the study of Compos
Rubio et al.7 From the discussion mentioned above,
delamination and surface finish are the two important
variables that need focus during drilling of composite
laminates. These two variables are influenced by otherprocess parameters such as feed rate, cutting speed,
drill geometry, tool wear, and tool material.812
The delamination failure in drilling operation can
occur either at drill bit entry, known as peel-up, or
at the exit of the bit, termed as push-out. Out of
these two delamination mechanisms associated with
drilling of FRP, push-out at the drill exit is more
severe. The key for solving the problem lies in reduc-
ing the thrust force when drilling. Optical microscopy
and scanning and digital photography are the tech-
niques employed to measure the delamination quali-
tatively. The same can be measured quantitatively as
follows. Delamination factor is one such parameter,which is used to characterize the level of damage on
the work material at the entry and exit of the drill. The
delamination factor (FD) may be calculated from the
ratio of the maximum diameter (Dmax) of the delam-
ination zone to the drill diameter (D0) as follows:13
FD =Dmax
D0(1)
Alternatively, the ratio of the delaminated area to
the hole area may also be used. In this case, the
adjusted delamination factor (FDA) is calculated from
Eq. 2, in which the first part represents the size of
the crack contribution (conventional delamination
factor FD) and the second part represents the
damaged area contribution.
FDA = FD +AD
(Amax A0)(F2D FD) (2)
whereAD is the damaged area,Amax is the area related
to the maximum diameter of the delamination zone
(Dmax), and A0 is the area of the nominal hole, which
corresponds to D0.
Even though the delamination is estimated quan-
titatively by various researchers using either delami-
nation factor or adjusted delamination factor, in this
work it was observed that the specimen with lower
adjusted delamination factor gets failed more quickly
than the do specimens with higher adjusted delami-
nation factor. This insists the need for a revision in the
current form of adjusted delamination factor. Hence
in the revised form of delamination factor equation,
in addition to damage zone size, drill diameter and
area correspond to nominal diameter; importance was
given to severity of damages.
Experimental Procedure
Drilling experiments were conducted on a CNC
machining center with 5-kW power. Its spindle speed
range is 2002500 rpm with a resolution of 1 rpm,
and the feed range is from 5 to 200 mm/min. The lam-
inates were produced by the hand lay-up technique
and were made up of epoxy matrix reinforced with
62% weight of woven glass fiber with an orientation
of five layers of [0/45] and two layers of [0/90]
laminates. Fourteen layers of glass fiber were used
resulting in a 9.57-mm-thick laminate. Table 1 shows
the mechanical properties of composite material used
for testing.14
The sized composite laminate of 160 80 mm was
fixed on the machining center using appropriate
clamping device and back plate. Then the laminate
was drilled using a brand new 10-mm end mill cuttermade up of high-speed steel, and the detail is shown
in Fig. 1. Drilling was performed by varying spindle
speeds and feeds. A feed rate of 25150 mm/min in
steps of 25 mm/min was used in the experimental
work. The same set of feed rates was used for spindle
speeds of 1000, 1200, and 1400 rpm.
Eighteen holes were drilled for the specified
cutting parameters for a single cutting tool of an
individual size. In order to account for unforced errors
and damages induced during machining operation,
three holes of same parameter were drilled, so the
Table 1 Mechanical properties of composite material used for testing
Fiber type E-glass 21xK43 Gevetex
Matrix type LY556/DY063 epoxy
Fiber volume fraction, Vf 0.62
Longitudinal modulus, E11 (GPa) 34.41
Transverse modulus, E22 (GPa) 6.53
In-plane shear modulus, G12 (GPa) 3.43
Major Poissons ratio, 12 0.217
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Advanced NDT V.A. Nagarajan et al.
(a)
(b)
(c)
Figure 1 Various types of drilling cutters of 10 mm diameter,(a) router,
(b) end mill cutter, and (c) twist drill.
total number of holes required was worked out
to be 54.
Results and Discussion
The damage at the push-out was captured qualita-
tively using a Nikon 300 digital camera (Nikon India
Private Ltd., India) with ST 800 flash. The lighting
environment must be adequate enough to obtain a
good response out of the sensor, but not too excessive
to cause blooming or saturation of the sensor. Series
of fiber-optic point sources lighting were used to
minimize the effects of ambient lighting and simplifyimage processing. The line sketch for the camera setup
is shown in Fig. 2. The size of the damage zone was
measured quantitatively5,1518 using the concept of
neural network MATLAB 7.0 software. Using Eqs. 1
and 2, delamination factor (FD) and adjusted delam-
ination factor (FDA) proposed by various researchers
are calculated and shown in Table 2.
On the other hand, the drilled specimens were
tested by the following tests to confirm and vali-
date the values of FD and FDA. American Society for
Testing and Materials (ASTM) has proposed two test
standards: (1) three-point bend test (3PT) (D2344)
involves the use of a three-point flexure specimen to
measure interlaminar shear stress of laminated com-
posites subjected to transverse loads19 and (2) the
modified short beam shear (MSBS) test (ASTM D790)
is also used to estimate the interlaminar shear stress
but in MSBS test, in between loading head and
specimen one rubber sheer and one stiffer plate alu-
minum are placed. Main purpose is to make the point
Camera Stand
Digital Camera
Series of Lights
Laminate
Specimen
Computer
Figure 2 Line sketch for the camera setup.
load as uniformly distributed load. Here, specimen
was subjected to uniformly distributed load. That is
why the specimen fails in small amplitude of loadcompared with 3PT.
Both the tests offer failure load of the specimen in
kilonewtons. Using this failure load, the interlaminar
shear stress can be computed using the following
equation:
xzmax =3pmax
4bD(3)
where, xzmax refers to maximum induced shear
stress in xz plane, in which x refers to the axial
direction of the beam and z refers to the thickness
direction with the origin coincident with the mid-
thickness plane; pmax is the failure load; b is the
width of the specimen; and D is the thickness of the
specimen.
The results of both of these tests and the computed
interlaminar shear stress are given in Table 3.
From the above validation tests, the following
observations have been made:
Average failure load estimated using 3PT for holes
drilled at 1000 rpm with a 25 mm/min feed rate is
298.21 kN.
Corresponding interlaminar shear stress is
353.14 MPa.
Average failure load estimated using MSBS test is
242.39 kN and corresponding interlaminar shear
stress is 294.27 MPa.
Average failure load estimated using 3PT for holes
drilled at 1000 rpm with a 150 mm/min feed rate is
372.40 kN.
Corresponding interlaminar shear stress is 452.17
MPa.
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Table 2 Calculated delamination factor and adjusted delamination factor for holes drilled with 10-mm end mill for different conditions
Speed (rpm) Feed (mm/min)
Maximum length of
damage, Dmax (mm)
Total damaged area,
AD (mm2)
Maximum damaged
area,Amax (mm2) FD FDA
1000 25 13.50 62.22 143.07 1.350 1.804
50 15.43 80.50 186.90 1.543 2.166
75 15.08 93.69 178.51 1.508 2.226
100 13.81 42.47 149.71 1.381 1.688125 12.62 25.82 125.02 1.262 1.446
150 13.92 69.36 152.11 1.392 1.907
1200 25 13.58 44.40 144.77 1.358 1.684
50 16.66 53.95 217.88 1.666 2.096
75 13.75 51.59 148.41 1.375 1.756
100 14.22 34.62 158.73 1.422 1.681
125 12.62 40.67 125.02 1.262 1.551
150 13.87 101.96 151.02 1.387 2.140
1400 25 14.16 62.34 157.40 1.416 1.882
50 12.61 59.63 124.82 1.261 1.685
75 14.12 37.81 156.51 1.412 1.694
100 13.00 52.34 132.67 1.300 1.677
125 14.07 49.18 155.40 1.407 1.773
150 13.59 91.05 144.98 1.359 2.027
Table 3 Failure load and interlaminar shear stress by 3PT and MSBS
tests, for holes drilled with 10-mm end mill for different conditions
Test Parameters Trail
Failure
load (kN)
Interlaminar
shear stress
(MPa)
Three-point
bend test
(3PT)
1000 rpm and
25-mm feed
1 298.42 352.54
2 299.67 354.89
3 296.56 351.99
Average 298. 21 353. 14
1000 rpm and
150-mm feed
1 373.07 452.61
2 371.65 453.78
3 372.48 450.12Average 372. 40 452. 17
Modified short
beam shear
(MSBS) test
1000 rpm and
25-mm feed
1 242.49 294.19
2 243.57 295.95
3 241.11 292.67
Average 242. 39 294. 27
1000 rpm and
150-mm feed
1 309.41 375.38
2 307.84 373.69
3 308.45 374.92
Average 308. 56 374. 66
Average failure load estimated using MSBS test
is 308.56 kN and the corresponding interlaminar
shear stress is 374.66 MPa. Holes drilled with a 25 mm/min feed rate is more
prone to failure than that with a 150 mm/min feed
rate.
The test values obtained by 3PT and MSBS tests are
not correlated with the values of FD and FDA obtained
through the MATLAB 7.0, so it is in need to make fine
tuning in the process of image, and that has been done
by the following method. It is a seven-stage process
out of which three stages are shown in Fig. 3. Here the
importance is given for the depth of damage, which
is called as severity of damage. Depending upon the
depth of damage or severity of damage, the intensity
of reflected light from the damaged zone is varied.
This image is captured by the digital camera and a set
of images are taken for training. During training, the
back ground is eliminated by ground truth technique
and certain features like primary color components
of the image under study are extracted and selected.
At the time of testing, the same features are testedwith the trained neural network, the mean square
error (MSE) is calculated, and the training is carried
out till the iteration process reaches the iteration
maximum. Finally, the results classified as heavy
damaged, medium damaged, and light damaged areas
are obtained. These three zones are colored as follows:
(1) heavily damaged area (red), (2) medium damaged
area (green), and (3) lightly damaged area (light
red). The flow chart of the proposed algorithm is
represented in Fig. 4.
Existing delamination factor or adjusted delami-
nation factor depends on either maximum length of
damage (Dmax) or maximum damaged area (Amax)
and the area of damaged zone (AD), respectively.
Various researchers calculate the value of maximum
damaged area (Amax) by considering only the maxi-
mum diameter of the delamination zone (Dmax).It can
be observed from Table 4 that the total area of damage
(AD) for hole drilled with 25 mm/min feed rate and
1000 rpm is 62.22 mm2, whereas the total area of
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Advanced NDT V.A. Nagarajan et al.
(a) Captured Image
Light Red: Lightly
damaged area
(b) Segregation of
pixels depends on
its intensity
Green: Medium
damaged area
(c) Final image for
measuring of data
Red: Heavily
damaged area.
Figure 3 Steps in neural network in
MATLAB for the calculation of Dmax and
area of damage.
Figure 4 Flowchart of the proposed algorithm.
damage (AD) for hole drilled with 150 mm/min feed
rate and for the same speed is 69.36 mm2 only. The
magnitude of FDA for the hole mentioned in first case
is 1.804 and for the later is only 1.907. On the basis
of the concept proposed in the literature, it can be
decided that the hole considered in the second case
having FDA value of 1.907 is more prone to dam-
age when compared with the first case, which has
FDA value of 1.804. It means that the damages are
high in the second case when compared with the
first case.
Hence the measurement of total area of damage
(Amax), which is mainly concentrated around the
vicinity of drilled hole alone, is not sufficient to quan-
tify the delamination factor. Because the validation
tests prove that the holes drilled with a 25 mm/min
feed rate is more prone to failure than that of holes
drilled with a 150 mm/min feed rate at 1000 rpm.
Hence it is very essential to refine the formula in
Eq. 2 for the calculation of adjusted delamination
factor to correlate with the test values.
This process of refining should include the effect
of severity of damage. To refine the adjusted
delamination factor (FDA), in addition to the variables
Dmax and Amax, the severity of damage should also be
accounted for.
From Table 4, it can be observed that the heavily
damaged area (AH) for hole drilled with a 25 mm/min
feed rate at 1000 rpm is 13.03 mm2, whereas it is only
4.92 mm2 for the hole drilled with a 150 mm/min
feed rate at the same speed. Hence in the formulation
of refined delamination factor importance should
be given for the severity of damage in additionto the maximum length of damage, total damaged
area, and size of the hole. Keeping these points in
mind, it is proposed that the delamination failure
can be effectively characterized using Buckinghams
theorem.20
The Buckinghams theorem states if there are
n variables in a physical phenomenon and if these
variables contain m fundamental dimensions, then
the variables are arranged into (n m) dimensionless
terms. Each term is called term. Accordingly, as
discussed earlier, in the expression for delamination
factor, due importance should be given to severity
of damage in addition to Dmax and D0. Here,the terms (Dmax/D0) (AH/A0), (AM/A0), and (AL/A0)
were identified as dimensionless terms. The
procedure for the development of the proposed
refined delamination factor FDR can be summarized
as follows: FDR = f(Dmax, D0, A0, AH, AM, AL). This
equation can also be expressed in terms of terms as
f(1, 2, 3) = 0.
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Table 4 Split value of damaged area depends on severity for holes drilled with 10-mm end mill for different conditions and its FDR values
Speed (rpm)
Feed
(mm/min)
Maximum length of
damage, Dmax (mm)
Total damaged
area,AD (mm2)
Heavily damaged
area,AH (mm2)
Medium damaged
area,AM (mm2)
Lightly damaged
area,AL (mm2) FDR
1000 25 13.50 62.22 13.03 23.02 26.17 1.709
50 15.43 80.50 9.37 36.96 34.17 1.917
75 15.08 93.69 7.06 34.68 51.95 1.818
100 13.81 42.47 6.30 10.75 25.42 1.539125 12.62 25.82 2.44 8.02 15.36 1.325
150 13.92 69.36 4.92 35.34 29.10 1.650
1200 25 13.58 44.40 3.70 12.98 27.72 1.463
50 16.66 53.95 13.02 22.20 18.73 2.019
75 13.75 51.59 6.73 22.20 22.66 1.586
100 14.22 34.62 4.04 12.66 17.92 1.533
125 12.62 40.67 2.31 12.06 26.30 1.333
150 13.87 101.96 6.91 57.29 37.76 1.929
1400 25 14.16 62.34 7.81 20.99 33.54 1.647
50 12.61 59.63 3.91 23.04 32.68 1.414
75 14.12 37.81 4.14 12.29 21.38 1.524
100 13.00 52.34 2.81 16.72 32.81 1.399
125 14.07 49.18 4.66 12.01 32.51 1.532
150 13.59 91.05 5.50 36.36 49.19 1.646
The terms are expressed as
1 =Dmax
D0. X
AH
A0
a1. Y
AM
A0
b1. Z
AL
A0
c1
Similarly,
2 =Dmax
D0. X
AH
A0
a2. Y
AM
A0
b2. Z
AL
A0
c2
and
3 =Dmax
D0. XAH
A0
a3
. YAMA0
b3
. ZALA0
c3
.
Solving the above and the refined delamination
factor FDR can be expressed as
FDR =Dmax
D0+ 1.783
AH
A0
+ 0.7156
AM
A0
2
+ 0.03692
AL
A0
3(4)
Calculated values of FDR for the holes drilled by
10-mm end mill with required variables for the
calculation are shown in Table 4.
To validate the refined delamination factor, addi-
tionally, six laminate specimens were drilled using
brand new high-speed steel tools namely, twist drill
and router (shown in Fig. 1) with 10 mm each by
the tools at the spindle speeds of 1000, 1200, and
1400 rpm with the feed rates of 25, 50, 75, 100, 125,
and 150 mm/min, with three trails, that is, 108 holes
were drilled and one set of drilled specimen is shown
in Fig. 5 and the calculated FD, FDA, and FDR values
Twist Drill End Mill Router
Figure 5 Photographic view of drilled holes with 10 mm in size.
are shown in Table 5, which are scattered due to
anisotropic nature of composite materials. The capa-
bility of the refined delamination factor to predict the
interlaminar failure is validated for these holes with
reference to the experimental values.
Conclusions
In this study, it was found that delamination is a
main cause of failure in laminated composite material
during drilling. It was evident from the earlier
discussion that refined delamination factor (FDR)
quantifies the delamination failure very effectively
when compared with the conventional (FD) and
adjusted (FDA) delamination factors, which were
explained in the literature. This is because of the fact
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Table 5 Calculated FD, FDA and their FDR values for holes drilled with 10-mm twist drill and router for different conditions
Twist drill Router
Speed (rpm) Feed (mm/min) FD FDA FDR FD FDA FDR
1000 25 1.110 1.455 1.250 1.252 1.623 1.397
50 1.199 1.494 1.219 1.313 1.692 1.461
75 1.288 1.533 1.187 1.374 1.762 1.526
100 1.377 1.572 1.155 1.436 1.831 1.591
125 1.465 1.610 1.123 1.497 1.901 1.655
150 1.554 1.789 1.145 1.558 1.970 1.720
1200 25 1.199 1.590 1.456 1.248 1.658 1.423
50 1.212 1.601 1.391 1.277 1.698 1.487
75 1.376 1.668 1.393 1.370 1.797 1.552
100 1.465 1.707 1.361 1.431 1.867 1.617
125 1.554 1.746 1.288 1.493 1.936 1.681
150 1.642 1.784 1.297 1.554 2.006 1.746
1400 25 1.287 1.725 1.566 1.244 1.694 1.449
50 1.376 1.764 1.568 1.305 1.764 1.513
75 1.465 1.803 1.578 1.366 1.833 1.578
100 1.554 1.877 1.567 1.427 1.902 1.643
125 1.642 1.881 1.499 1.488 1.972 1.707
150 1.631 1.920 1.503 1.449 1.921 1.672
that the refined delamination factor (FDR) accounts
for the severity of damage. The exactness of FDR is
validated with the help of standard test methods for
delamination failure proposed in ASTM D2344 and
ASTM D790.
References
1. Koenig, W., Wulf, C., Grass, P., and Willerscheid, H.,
Machining of Fiber Reinforced Plastics, Annals of
CIRP34(2):538 548 (1985).
2. Khashaba, U.A., Delamination in DrillingGFR-thermoset Composites, Composite Structures
63(34):313327 (2004).
3. Davim, J.P., and Pedro R., Study of Delamination
in Drilling Carbon Fiber Reinforced Plastics (CFRP)
Using Design Experiments, Composite Structures
59:481487 (2003).
4. Arul, S., Vijayaraghavan, L., Malhotrab, S.K., and
Krishnamurthy, R., The Effect of Vibratory Drilling
on Hole Quality in Polymeric Composites,
International Journal on Machine Tools Manufacturing
46:252259 (2006).
5. Aoyama, E., Nobe, H., and Hirogaki, T., Drilled
Hole Damage of Small Diameter in Printed WiringBoard, Journal on Mater Process Technology
118:436441 (2001).
6. Kao, W.H., Tribological Prosperities and High
Speed Drilling Application of MoS2 Cr, Wear
258:812825 (2005).
7. Compos Rubio, J., Abrao, A.M., Faria, P.E., Esteves
Correia, A., and Paulo Davim, J., Effects of High
Speed in the Drilling of Glass Fibre Reinforced
Plastic: Evaluation of the Delamination Factor,
International Journal of Machine Tools and Manufacture
48:715 720 (2008).
8. Hocheng, H., and Puw, H.Y., On Drilling
Characteristics of Fiber-Reinforced Thermoset and
Thermoplastics, International Journal of .Machine
Tools and Manufacturing 32(4):583 592 (1992).
9. Chen, W.C., Some Experimental Investigations in
the Drilling of Carbon Fiber-Reinforced Plastic
(CFRP) Composite Laminates, International Journal
of Machine Tools and Manufacturing 37(8):10971108
(1997).
10. Doran, J.H., and Maikish, C.R., Machining Boron
Composite, Noton, B.R., (ed.), Composite Materials in
Engineering Design, ASM Press, Washington, DC,
pp. 242250 (1973).
11. Veniali, F., Di Llio, A., and Tagliaferri, V., An
Experimental Study of the Drilling of Aramid
Composites, Journal of Energy Resources Technology
117:271278 (1995).
12. Koplev, A., Lystrup, A., and Vorm, P., The Cutting
Process, Chips and Cutting Forces in Machining
CFRP, Composites 14(4):371 376 (1983).
13. Paulo Davim, J., Compos Rubio, J., and
Abrao, A.M., A Novel Approach Based on Digital
Image Analysis to Evaluate the Delamination Factor
After Drilling Composite Laminate, Composite Science
and Technology 67:19391945 (2007).
14. Selwin Rajadurai, J., and Thanigaiyarasu, G.,
Failure Envelope Generation Using Modified
Failure Criteria for Wind Turbine Blade and
Comparison with Stress Based, Strain Based and
72 Experimental Techniques 37 (2013) 66 73 2012, Society for Experimental Mechanics
-
7/27/2019 Epoxy Composites.pdf
8/8
V.A. Nagarajan et al. Advanced NDT
Interactive Criteria, IETECH Journal of Mechanical
Design 1:112 (2007).
15. Hocheng, H., and Tsao, C.C., The Path Towards
DelaminationFree Drilling of Composite
Materials, Journal of Materials Processing Technology
167:251264 (2005).
16. Piquet, R., Ferret, B., Lachaud, F., and Swider, P.,
Experimental Analysis of Drilling Damage in ThinCarbon/Epoxy Laminates Using Special Drills,
Composites Part A: Applied Science and Manufacturing
31(10):1107 1115 (2000).
17. Zhang, H., Chen, W., Chen, D., and Zhang, L.,
Assessment of the Exit Defects in Carbon
Fibre-Reinforced Plastic Plates Caused by Drilling,
Precision Machining of Advanced Materials 196:4352
(2001).
18. Capello, E., Work Piece Damping and Its Effect on
Delamination Damage in Drilling Thin Composite
Laminates, Journal of Material Processing Technology
148:186195 (2004).
19. Carbajal, N., and Mujika, F., Determination ofLongitudinal Compressive Strength of Long Fiber
Composites by Three-point Bending of [0m/90n/0p]
Cross-ply Laminated Strips, Polymer Testing
28:618626 (2009).
20. Clive, J., and Dym, L., Principles of Mathematical
Modeling, Elsevier Academic Press, Waltham, MA
(2004).
Notations and Constantsxzmax Interlaminar shear stress
A0 Nominal hole area
AD Damage area
AH Heavily damaged area
AM Medium damaged area
Amax Maximum damaged area
AL Lightly damaged area
D Thickness of the specimen
D0 Drill diameter
Dmax Maximum diameter
FD Delamination factor
FDA Adjusted delamination factor
FDR Refined delamination factor
B Width of the specimen
pmax Maximum failure load
Experimental Techniques 37 (2013) 66 73 2012, Society for Experimental Mechanics 73