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.
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June 1980
Research Papers
A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity
J. F. Yau,
J. F. Yau
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Ill. 61801
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S. S. Wang,
S. S. Wang
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Ill. 61801
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H. T. Corten
H. T. Corten
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Ill. 61801
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J. F. Yau
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Ill. 61801
S. S. Wang
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Ill. 61801
H. T. Corten
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Ill. 61801
J. Appl. Mech. Jun 1980, 47(2): 335-341 (7 pages)
Published Online: June 1, 1980
Article history
Received:
December 1, 1978
Revised:
July 1, 1979
Online:
July 21, 2009
Citation
Yau, J. F., Wang, S. S., and Corten, H. T. (June 1, 1980). "A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity." ASME. J. Appl. Mech. June 1980; 47(2): 335–341. https://doi.org/10.1115/1.3153665
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