Standard Test Method for Mode I Fatigue Delamination Growth Onset of Unidirectional Fiber-Reinforced Polymer Matrix Composites

SIGNIFICANCE AND USE
Susceptibility to delamination is one of the major weaknesses of many advanced laminated composite structures. Knowledge of a laminated composite material’resistance to interlaminar fracture under fatigue loads is useful for product development and material selection. Furthermore, a measurement of the relationship of the mode I cyclic strain energy release rate and the number of cycles to delamination growth onset, G–N, that is independent of specimen geometry or method of load introduction, is useful for establishing design allowables used in damage tolerance analyses of composite structures made from these materials.
This test method can serve the following purposes:
5.2.1 To establish quantitatively the effects of fiber surface treatment, local variations in fiber volume fraction, and processing and environmental variables on G–N  of a particular composite material.
5.2.2 To compare quantitatively the relative values of G–N  for composite materials with different constituents.
5.2.3 To develop criteria for avoiding the onset of delamination growth under fatigue loading for composite damage tolerance and durability analyses.
SCOPE
1.1 This test method determines the number of cycles (N) for the onset of delamination growth based on the opening mode I cyclic strain energy release rate (G), using the Double Cantilever Beam (DCB) specimen shown in . This test method applies to constant amplitude, tension-tension fatigue loading of continuous fiber-reinforced composite materials. When this test method is applied to multiple specimens at various G-levels, the results may be shown as a G-N  curve, as illustrated in Fig 2.
1.2 This test method is limited to use with composites consisting of unidirectional carbon fiber tape laminates with single-phase polymer matrices. This limited scope reflects the experience gained in round robin testing. This test method may prove useful for other types and classes of composite materials, however, certain interferences have been noted (see Section 6.5 of Test Method D 5528).
1.3 The values stated in SI units are to be regarded as standard. The values provided in parentheses are for information only.
1.4 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.

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ASTM D6115-97(2004) - Standard Test Method for Mode I Fatigue Delamination Growth Onset of Unidirectional Fiber-Reinforced Polymer Matrix Composites
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NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Contact ASTM International (www.astm.org) for the latest information
Designation:D6115–97 (Reapproved 2004)
Standard Test Method for
Mode I Fatigue Delamination Growth Onset of Unidirectional
Fiber-Reinforced Polymer Matrix Composites
This standard is issued under the fixed designation D6115; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope
1.1 This test method determines the number of cycles (N)
for the onset of delamination growth based on the opening
mode I cyclic strain energy release rate (G), using the Double
Cantilever Beam (DCB) specimen shown in Fig. 1. This test
method applies to constant amplitude, tension-tension fatigue
loading of continuous fiber-reinforced composite materials.
When this test method is applied to multiple specimens at
various G-levels, the results may be shown as a G–N curve, as
illustrated in Fig. 2.
1.2 This test method is limited to use with composites
consisting of unidirectional carbon fiber tape laminates with
single-phase polymer matrices. This limited scope reflects the
FIG. 1 DCB Specimen with Piano Hinges
experience gained in round robin testing.This test method may
proveusefulforothertypesandclassesofcompositematerials,
D2651 Guide for Preparation of Metal Surfaces for Adhe-
however,certaininterferenceshavebeennoted(seeSection6.5
sive Bonding
of Test Method D5528).
D2734 Test Methods for Void Content of Reinforced Plas-
1.3 The values stated in SI units are to be regarded as
tics
standard. The values provided in parentheses are for informa-
D3171 Test Methods for Constituent Content of Composite
tion only.
Materials
1.4 This standard does not purport to address all of the
D3878 Terminology for Composite Materials
safety concerns, if any, associated with its use. It is the
D5229/D5229M Test Method for Moisture Absorption
responsibility of the user of this standard to establish appro-
Properties and Equilibrium Conditioning of Polymer Ma-
priate safety and health practices and determine the applica-
trix Composite Materials
bility of regulatory limitations prior to use.
D5528 Test Method for Mode I Interlaminar Fracture
Toughness of Unidirectional Fiber-Reinforced Polymer
2. Referenced Documents
Matrix Composites
2.1 ASTM Standards:
E4 Practices for Force Verification of Testing Machines
D883 Terminology Relating to Plastics
E6 TerminologyRelatingtoMethodsofMechanicalTesting
D2584 Test Method for Ignition Loss of Cured Reinforced
E122 Practice for Calculating Sample Size to Estimate,
Resins
With Specified Precision, the Average for a Characteristic
of a Lot or Process
E177 Practice for Use of the Terms Precision and Bias in
This specification is under the jurisdiction of ASTM Committee D30 on
ASTM Test Methods
Composite Materials and is the direct responsibility of Subcommittee D30.06 on
E456 Terminology Relating to Quality and Statistics
Interlaminar Properties.
E467 Practice for Verification of Constant Amplitude Dy-
Current edition approved March 1, 2004. Published March 2004. Originally
namic Forces in an Axial Fatigue Testing System
approved in 1997. Last previous edition approved in 1997 as D6115 – 97. DOI:
10.1520/D6115-97R04.
E691 Practice for Conducting an Interlaboratory Study to
For referenced ASTM standards, visit the ASTM website, www.astm.org, or
Determine the Precision of a Test Method
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
E739 Practice for Statistical Analysis of Linear or Linear-
Standards volume information, refer to the standard’s Document Summary page on
the ASTM website. ized Stress-Life ( S-N) and Strain-Life (e-N) Fatigue Data
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.
D6115–97 (2004)
E1049 Practices for Cycle Counting in Fatigue Analysis 3.3.13 G–N—relationship between the cyclic strain energy
E1150 Definitions of Terms Relating to Fatigue release rate and the number of cycles to onset of delamination
growth.
3. Terminology 3.3.14 h—thickness of DCB specimen.
3.3.15 N—number of elapsed fatigue cycles.
3.1 Terminology D3878 defines terms relating to high-
3.3.16 N —application dependent value of N at which
a
modulus fibers and their composites. Terminology D883 de-
delamination growth onset will occur.
fines terms relating to plastics. Terminology E6 defines terms
1 %
3.3.17 N —numberoffatiguecyclesforthevalueof P
a max
relating to mechanical testing. Terminology E456 and Practice
at N = 1 to decrease by 1 %.
E177 define terms relating to statistics. Definition E1150
ViS
3.3.18 N —number of fatigue cycles at which the onset
a
defines terms relating to fatigue. In the event of conflict
of delamination growth is observed.
between terms, Terminology D3878 shall have precedence
5 %
3.3.19 N —numberoffatiguecyclesforthevalueof P
a max
over the other terminology standards.
at N = 1 to decrease by 5 %.
3.2 Definitions of Terms Specific to This Standard:
3.3.20 P—applied load.
3.2.1 crack opening mode (Mode I)—fracture mode in
3.3.21 P —value of load at the onset of delamination
cr
which the delamination faces open away from each other and
growth from the insert in the quasi-static tests.
in which these faces do not undergo any relative sliding.
3.3.22 P —maximum cyclic load.
max
3.2.2 cycles to onset of delamination growth, N —the num-
a
3.3.23 R—ratio of minimum and peak loads P /P .
min max
ber of fatigue cycles elapsed until the onset of delamination
3.3.24 SD—standard deviation.
growth from an implanted thin insert.
3.3.25 U—strain energy.
3.2.3 fatigue delamination growth onset relationship,
3.3.26 V —fiber volume fraction, %.
f
G–N—the relationship between the peak cyclic value of strain
3.3.27 d—load point deflection.
energy release rate to the number of fatigue cycles until the
3.3.28 d —value of displacement at the onset of delamina-
cr
onset of delamination growth, N .
a
tion growth from the insert in a quasi-static test.
3.2.4 mode I interlaminar fracture toughness, G —the
Ic
3.3.29 d —maximum value of cyclic displacement.
max
critical value of G for delamination growth because of an
3.3.30 d —mean value of cyclic displacement.
mean
opening load or displacement.
3.3.31 d —minimum value of cyclic displacement.
mm
3.2.5 strain energy release rate, G—the loss of strain
3.3.32 D—effective delamination extension to correct for
energy, dU, in the test specimen per unit of specimen width for
rotation of DCB arms at delamination front.
an infinitesimal increase in delamination length, da, for a
3.3.33 [D] —average value of D from the quasi-static tests.
av
delamination growing under a constant displacement. In math-
ematical form:
4. Summary of Test Method
1 dU
4.1 The Double Cantilever Beam (DCB) shown in Fig. 2 is
G52 (1)
b da
described in Test Method D5528.
where:
U = total elastic strain energy in the test specimen,
b = specimen width, and
a = delamination length.
3.3 Symbols:
3.3.1 a—delamination length.
3.3.2 a —initial delamination length.
3.3.3 b—width of DCB specimen.
3.3.4 C—compliance, d/P, of DCB specimen.
3.3.5 CV—coefficient of variation, %.
3.3.6 da—infinitesimal increase in delamination length.
3.3.7 dU—infinitesimal increase in strain energy.
3.3.8 E —modulus of elasticity in the fiber direction.
II
3.3.9 G—strain energy release rate.
3.3.10 G —opening mode I interlaminar fracture tough-
Ic FIG. 2 G–N Curve
ness.
3.3.11 [G ] —average values of G from the quasi-static
Ic av Ic
4.2 The DCB specimen is cycled between a minimum and
tests.
maximum displacement, d , and d , at a specified fre-
min max
3.3.12 G —maximum or peak cyclic mode I strain en-
Imax
quency. For linear elasticity and small deflections (d/a < 0.4)
ergy release rate.
the displacement ratio, d / d , is identical to the R-ratio.
min max
The number of displacement cycles at which the onset of
delaminationgrowthoccurs, N ,isrecorded.ThemodeIcyclic
a
strain energy release rate, for example the maximum value,
Withdrawn. The last approved version of this historical standard is referenced
on www.astm.org. G is calculated using a modified beam theory or other
Imax
D6115–97 (2004)
methods described in Test Method D5528. By testing several cycles until the delamination was visually observed to grow at
ViS
specimens a relationship is developed between G and N the edge, N ;(2) the number of cycles until the compliance
Imax a a
1%
for the chosen frequency. hadincreasedby1 %, N (thisisapproximatelyequivalentto
a
a 1 % decrease in the maximum cyclic load; and (3) the
5. Significance and Use
number of cycles until the compliance has increased by 5 %,
5.1 Susceptibility to delamination is one of the major 5%
N (this is approximately equivalent to a 5 % decrease in the
a
weaknesses of many advanced laminated composite structures. maximum cyclic load). The three techniques gave different
1%
Knowledge of a laminated composite material’s resistance to
results but the N value is typically the lowest of the three
a
interlaminar fracture under fatigue loads is useful for product values and is recommended for generating a conservative
development and material selection. Furthermore, a measure-
criterion for avoiding onset of fatigue delamination growth in
ment of the relationship of the mode I cyclic strain energy durability and damage tolerance analyses of laminated com-
release rate and the number of cycles to delamination growth
posite structures. Because of the difficulties in visually moni-
onset, G–N, that is independent of specimen geometry or toringtheendofadelaminationduringafatiguetest,thevisual
method of load introduction, is useful for establishing design
method is not included in this test method.
allowables used in damage tolerance analyses of composite 6.4 The test frequency may affect results. If the test fre-
structures made from these materials. quency is high, heating effects may occur in the composite. To
5.2 This test method can serve the following purposes: avoid these effects, frequency should be chosen to be between
5.2.1 To establish quantitatively the effects of fiber surface 1and10cyclespersecond(Hz)andshouldbechosensuchthat
treatment, local variations in fiber volume fraction, and pro-
there is no temperature change of the specimen. Other test
cessing and environmental variables on G–N of a particular frequencies may be used if they are more appropriate for the
composite material.
application. The test frequency shall be reported.
5.2.2 To compare quantitatively the relative values of G–N 6.5 The displacement ratio, d / d , may have a large
min max
for composite materials with different constituents.
effect on the results. Because the DCB specimen cannot be
5.2.3 To develop criteria for avoiding the onset of delami- tested in compression the displacement ratio must remain
nation growth under fatigue loading for composite damage
within the following range: 0# d /d < 1. The displace-
min max
tolerance and durability analyses. ment ratio shall be reported. Large deflections may be consid-
ered by using the corrections given in the Annex of Test
6. Interferences
Method D5528.
6.1 Linear elastic behavior is assumed in the calculation of
6.6 The application to other materials, lay-ups and architec-
G used in this test method. This assumption is valid when the
tures is described in Test Method D5528.
zone of damage or non-linear deformation at the delamination
7. Apparatus
front, or both, is small relative to the smallest specimen
dimension, which is typically the specimen thickness for the
7.1 Testing Machine—A properly calibrated test machine
DCB test.
shall be used that can be operated in a displacement control
6.2 As the delamination grows under fatigue, fiber bridging
mode. The testing machine shall conform to the requirements
observed in quasi-static testing (see Test Method D5528) may
of Practices E4 and E467. The testing machine shall be
also occur. Fiber bridging inhibits the fatigue delamination
equipped with grips to hold the loading hinges, or pins to hold
growth resulting in slower growth rates than if there was no
the loading blocks, that are bonded to the specimen.
bridging.Thisresultsinartificiallyhighthresholdvalueswhere
7.2 Load Indicator—The testing machine load sensing de-
the delamination ceases to grow or grows very slowly. In
vice shall be capable of indicating the total load carried by the
addition, the rate of change of the delamination growth rate
test specimen. This device shall be essentially free from
versus the peak cyclic strain energy release rate for the DCB is
inertia-lag at the specified rate of testing and shall indicate the
very high. Therefore, small variations in the peak cyclic strain
load with an accuracy over the load range(s) of interest of
energy release rate will result in large changes in the delami-
within 61 % of the indicated value. The peak cyclic load shall
nationgrowthrate.Forthesetworeasons,thistestmethoddoes
not be less than 10 % of the full scale of the load cell. Section
not monitor the fatigue delamination growth rate. Instead, this
8.2detailshowtoestimatetheexpectedpeakcyclicload.Ifthe
test method monitors the number of cycles until the onset of
current load cell capacity of the test stand is too large, a low
delamination growth from the end of a thin insert. A value of
load capacity load cell may be placed in series.
G may be defined such that delamination growth will not occur
7.3 Opening Displacement Indicator—The opening dis-
until N cycles have elapsed, where N is defined by the
placement may be estimated as the crosshead separation or
a a
application, Fig. 1.
actuator displacement provided the deformation of the testing
6.3 Three definitions to determine the number of cycles
machine, with the specimen grips attached, is less than 2 % of
until the onset of delamination growth were used during an
the maximum cyclic opening displacement of the test speci-
investigative round robin. These include: (1) the number of
men. If not, then the opening displacement shall be obtained
from a properly calibrated external gage or transducer attached
to the specimen. The displacement indicator shall indicate the
Martin, R. H. and Murri, G. B., “Characterization of Mode I and Mode II
Delamination Growth and Thresholds in AS4/PEEK Composites,” Composite
Materials: Testing and Design (9th Volume), ASTM STP 1059, S. P. Garbo, Ed.,
1990, pp. 251–270. Preliminary data from D30.06 round robin.
D6115–97 (2004)
crack opening displacement with an accuracy of within 61% 11. Procedure
of the indicated value once the delami
...

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