Zener’s Crack and the M-Integral

[+] Author and Article Information
Z. Suo

Mechanical and Aerospace Engineering, Department and Materials Institute, Princeton University, Princeton, NJ 08544

J. Appl. Mech 67(2), 417-418 (Oct 12, 1999) (2 pages) doi:10.1115/1.1302302 History: Received July 21, 1999; Revised October 12, 1999
Copyright © 2000 by ASME
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Zener, C., 1948, “The Micro-Mechanism of Fracture,” Fracturing of Metals, American Society of Metals, Cleveland, OH, pp. 3–31.
Cottrell, A. H., 1975, “Fracture,” The Physics of Metals, 2: Defects, P. B. Hirsch, ed., Cambridge University Press, Cambridge, UK, pp. 247–280.
Cherepanov,  G. P., 1993, “Interface Microcrack Nucleation,” J. Mech. Phys. Solids, 42, pp. 665–680.
Fan,  H., 1994, “Interfacial Zener-Stroh Crack,” ASME J. Appl. Mech., 61, pp. 829–834.
Freund,  L. B., 1978, “Stress Intensity Factor Calculations Based on a Conservative Integral,” Int. J. Solids Struct., 14, pp. 241–250.
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.
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.
Suo,  Z., 1990, “Singularities, Interfaces and Cracks in Dissimilar Anisotropic Media,” Proc. R. Soc. London, Ser. A, 427, pp. 331–358.
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.
Tucker,  M. O., 1969, “Plane Boundaries and Straight Dislocations in Elastically Anisotropic Materials,” Philos. Mag., 19, pp. 1141–1159.
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.


Grahic Jump Location
Zener’s model. Dislocations pile up at an obstacle, i.e., the interface between two solids. The intense stress causes a crack to nucleate either on the interface, or in one of the solids.
Grahic Jump Location
A dislocation lies on an interface. An arbitrary curve C encloses the dislocation.
Grahic Jump Location
A superdislocation on the interface, and a crack either on the interface or in one of the solids. The M-integral is evaluated over the two closed curves.



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