This study is concerned with the treatment of the dynamic antiplane failure behavior of fiber reinforced composites involving matrix cracks and partially-debonded fibers. The matrix/fiber interphase was modeled as a thin interfacial layer with varying elastic modulus. The steady-state theoretical solution of this class of problems is formulated using a newly developed pseudo-incident wave method, thus reducing the original interaction problem into the solution of coupled single fiber/crack solutions. By using Fourier transform technique and solving the resulting singular integral equations, the dynamic stress intensity factor at the matrix crack was obtained analytically. Numerical examples were provided to show the effect of the location and material property of fibers, the size of debonded layer, and the frequency of the incident wave upon the dynamic stress intensity factors of the matrix crack.

1.
Achenbach, J. D., 1973, Wave propagation in elastic solids, North-Holland, Amsterdam.
2.
Achenbach
J. D.
, and
Zhu
H.
,
1990
, “
Effect of interphases on micro and macro-mechanical behavior of hexagonal-array fiber composites
,”
ASME J. Appl. Mech.
, Vol.
57
, pp.
956
963
.
3.
Chen
T.
,
Dvorak
G. J.
, and
Benveniste
Y.
,
1990
, “
Stress fields in composites reinforced by coated cylindrically orthotropic fibers
,”
Mechanics of Materials
, Vol.
9
, pp.
17
32
.
4.
Chiu, H.-P., Jeng, S. M., and Yang, J.-M., 1994, “Effect of fiber coating on the tensile and transverse creep behavior of SCS-6/Ti3Al composite,” Control of Interfaces in Metal and Ceramics Composites, Lin, R. Y., and Fishman, S. G., eds., The Minerals, Metals & Materials Society, Warrendale. Pennsylvania., pp. 119–132.
5.
Datta
S. K.
,
Ledbetter
H. M.
,
Shindo
Y.
, and
Shah
A. H.
,
1988
, “
Phase velocity and attenuation of plane elastic waves in a particle-reinforced composite medium
,”
Wave Motion
, Vol.
10
, pp.
171
182
.
6.
Drzal
L. T.
, and
Madhukar
M.
,
1993
, “
fiber-matrix adhesion and its relationship to composite mechanical properties
,”
J. Mater. Sci.
, Vol.
28
, pp.
569
610
.
7.
Evans
A. G.
,
1990
, “
Perspective on the development of high-toughness ceramics
,”
J. Am. Ceram. Soc.
, Vol.
73
, pp.
187
206
.
8.
Hashin
Z.
,
1990
, “
Thermoelastic properties of fiber composites with imperfect interface
,”
Mech. Mater.
, Vol.
8
, pp.
333
348
.
9.
Jones
J. P.
, and
Whittier
J. S.
,
1967
, “
Waves at a flexibly bonded interface
,”
ASME J. Appl. Mech.
, Vol.
34
, pp.
905
909
.
10.
Karpur, P., Matikas, T. E., and Krishnamurthy, S., 1994, “Ultrasound as a tool for the development of aerospace structural Titanium and ceramic matrix composites,” Control of Interfaces in Metal and Ceramics Composites, Lin, R. Y. and Fishman, S. G., eds. The Minerals, Metals & Materials Society, Warrendale. Pennsylvania., pp. 241–253.
11.
McCullough, R. L., 1971, Concepts of Fiber-Resin Composites, Marcel Dekker, New York.
12.
Meguid
S. A.
, and
Wang
X. D.
,
1994
, “
The dynamic interaction of a microcrack with a main crack under antiplane loading
,”
Int. J. Solids Structures
, Vol.
31
, pp.
1085
1097
.
13.
Mura, T., 1987, Micromechanics of Defects in Solids, 2nd ed., Martinus Nijhoff, Boston.
14.
Olssen
P.
,
Datta
S. K.
, and
Bostrom
A.
,
1990
, “
Elastodynamic scattering from inclusions surrounded by thin interface layers
,”
ASME J. Appl. Mech.
, Vol.
57
, pp.
672
676
.
15.
Ramesh
K. T.
, and
Ravichandran
G.
,
1990
, “
Dynamic behavior of a boron carbide-aluminum cermet: experiments and observations
,”
Mechanics of Materials
, Vol.
10
, pp.
19
29
.
16.
Schafbuch
P.
,
Thompson
R. B.
, and
Rizzo
F.
,
1990
, “
Application of boundary element method to elastic wave scattering by irregular defects
,”
J. Nondest. Eval
, Vol.
9
, pp.
113
127
.
17.
Turska-Klebek
E.
, and
Sokolowski
M.
,
1984
, “
On the influence of defects upon stress concentration at the crack
,”
Arch. Mech.
, Vol.
36
, pp.
121
126
.
18.
Wang
Q.
, and
Chiang
F.-P.
,
1996
, “
Experimental characterization of interphase mechanical properties of composites
,”
Composites
, Vol.
27B
, pp.
123
128
.
19.
Wass
A. M.
,
1992
, “
Effect of interphases on compressive strength of unidirectional composites
,”
ASME J. Appl. Mech.
, Vol.
59
, pp.
183
188
.
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