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]
Issue Section:
Brief Notes
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
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by ASME
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