The Axisymmetric Crack Problem in a Nonhomogeneous Medium

[+] Author and Article Information
M. Ozturk, F. Erdogan

Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015

J. Appl. Mech 60(2), 406-413 (Jun 01, 1993) (8 pages) doi:10.1115/1.2900808 History: Received January 23, 1990; Revised March 19, 1992; Online March 31, 2008


In this paper, the axisymmetric crack problem for a nonhomogeneous medium is considered. It is assumed that the shear modulus is a function of z approximated by μ = μ0 eαz . This is a simple simulation of materials and interfacial zones with intentionally or naturally graded properties. The problem is a mixed-mode problem and is formualated in terms of a pair of singular integral equations. With fracture mechanics applications in mind, the main results given are the stress intensity factors as a function of the nonhomogeneity parameter a for various loading conditions. Also given are some sample results showing the crack opening displacements.

Copyright © 1993 by The American Society of Mechanical Engineers
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