An Analysis of Cracking in a Layered Medium With a Functionally Graded Nonhomogeneous Interface

[+] Author and Article Information
Hyung Jip Choi

Power Engineering Research Institute, Korea Power Engineering Company, Inc., P. O. Box 631, Young-Dong, Seoul 135-606, Korea

J. Appl. Mech 63(2), 479-486 (Jun 01, 1996) (8 pages) doi:10.1115/1.2788893 History: Received October 20, 1994; Revised June 26, 1995; Online October 26, 2007


The plane elasticity solution is presented in this paper for the crack problem of a layered medium. A functionally graded interfacial region is assumed to exist as a distinct nonhomogeneous transitional layer with the exponentially varying elastic property between the dissimilar homogeneous surface layer and the substrate. The substrate is considered to be semi-infinite containing a crack perpendicular to the nominal interface. The stiffness matrix approach is employed as an efficient method of formulating the proposed crack problem. A Cauchy-type singular integral equation is then derived. The main results presented are the variations of stress intensity factors as functions of geometric and material parameters of the layered medium. Specifically, the influences of the crack size and location and the layer thickness are addressed for various material combinations.

Copyright © 1996 by The American Society of Mechanical Engineers
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