In a pair of bonded solids, the interface may block dislocation gliding. The pileup may cause a crack to nucleate either on the interface, or in one of the solids. The model, proposed by Zener half a century ago, has been analyzed in various forms. This note shows that the energy release rate of the crack can be calculated by an application of the M-integral. Both solids are anisotropic, and the interface is flat. The result leads to a discussion of the crack orientation. [S0021-8936(00)00701-7]

1.
Zener, C., 1948, “The Micro-Mechanism of Fracture,” Fracturing of Metals, American Society of Metals, Cleveland, OH, pp. 3–31.
2.
Cottrell, A. H., 1975, “Fracture,” The Physics of Metals, 2: Defects, P. B. Hirsch, ed., Cambridge University Press, Cambridge, UK, pp. 247–280.
3.
Cherepanov
,
G. P.
,
1993
, “
Interface Microcrack Nucleation
,”
J. Mech. Phys. Solids
,
42
, pp.
665
680
.
4.
Fan
,
H.
,
1994
, “
Interfacial Zener-Stroh Crack
,”
ASME J. Appl. Mech.
,
61
, pp.
829
834
.
5.
Freund
,
L. B.
,
1978
, “
Stress Intensity Factor Calculations Based on a Conservative Integral
,”
Int. J. Solids Struct.
,
14
, pp.
241
250
.
6.
Knowles
,
J. K.
, and
Sternberg
,
E.
,
1972
, “
On a Class of Conservation Laws in Linearized and Finite Elastostatics
,”
Arch. Ration. Mech. Anal.
,
44
, pp.
187
211
.
7.
Rice, J. R., 1985, “Conserved Integrals and Energetic Forces,” Fundamentals of Deformation and Fracture, B. A. Bilby, K. J. Miller, and J. R. Willis, eds., Cambridge University Press, Cambridge, UK, pp. 33–56.
8.
Suo
,
Z.
,
1990
, “
Singularities, Interfaces and Cracks in Dissimilar Anisotropic Media
,”
Proc. R. Soc. London, Ser. A
,
427
, pp.
331
358
.
9.
Barnett
,
D. M.
, and
Lothe
,
J.
,
1974
, “
An Image Force Theorem for Dislocations in Anisotropic Bi-crystals
,”
J. Phys. F: Met. Phys.
,
4
, pp.
1618
1635
.
10.
Tucker
,
M. O.
,
1969
, “
Plane Boundaries and Straight Dislocations in Elastically Anisotropic Materials
,”
Philos. Mag.
,
19
, pp.
1141
1159
.
11.
Ting
,
T. C. T.
,
1982
, “
Effects of Change of Reference Coordinates on the Stress Analysis of Anisotropic Elastic Materials
,”
Int. J. Solids Struct.
,
18
, pp.
139
152
.
You do not currently have access to this content.