Three-Dimensional Analysis of Cracking Through the Boundary of a Two-Phase Material

[+] Author and Article Information
M. T. Hanson, W. Lin, L. M. Keer

Department of Civil Engineering, Northwestern University, Evanston, IL 60208

J. Appl. Mech 56(4), 850-857 (Dec 01, 1989) (8 pages) doi:10.1115/1.3176181 History: Received August 10, 1988; Revised January 19, 1989; Online July 21, 2009


The penetration through a two-phase boundary by a biplanar (kinked) crack of arbitrary shape is considered in this paper. The two-phase boundary is modeled as the interface between two perfectly-bonded elastic, isotropic, homogeneous half spaces with different elastic constants. The planar crack on either side of the interface may be arbitrarily orientated with respect to the interface boundary. The body-force method is used to derive a set of coupled two-dimensional singular integral equations which are solved numerically. The solution yields the three crack opening displacements as well as the three modes of stress intensity factors along the crack contour. Numerical results are given for a penny-shaped crack symmetrically oriented with respect to the interface. Mode I stress intensity factors are given for the biplanar crack that experiences a kink when passing through the interface.

Copyright © 1989 by ASME
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