A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity

[+] Author and Article Information
J. F. Yau, S. S. Wang, H. T. Corten

Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Ill. 61801

J. Appl. Mech 47(2), 335-341 (Jun 01, 1980) (7 pages) doi:10.1115/1.3153665 History: Received December 01, 1978; Revised July 01, 1979; Online July 21, 2009


A simple and convenient method of analysis for studying two-dimensional mixed-mode crack problems is presented. The analysis is formulated on the basis of conservation laws of elasticity and of fundamental relationships in fracture mechanics. The problem is reduced to the determination of mixed-mode stress-intensity factor solutions in terms of conservation integrals involving known auxiliary solutions. One of the salient features of the present analysis is that the stress-intensity solutions can be determined directly by using information extracted in the far field. Several examples with solutions available in the literature are solved to examine the accuracy and other characteristics of the current approach. This method is demonstrated to be superior in its numerical simplicity and computational efficiency to other approaches. Solutions of more complicated and practical engineering fracture problems dealing with the crack emanating from a circular hole are presented also to illustrate the capacity of this method.

Copyright © 1980 by ASME
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