Evaluation of T-stress for An Interface Crack between Dissimilar Anisotropic Materials Using the Boundary Element Method
P.D. Shah; C.L. Tan; X. Wang

doi:10.3970/cmes.2006.013.185
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 13, No. 3, pp. 185-198, 2006
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Keywords $T$-stress, Mutual$M$-integral, Interface crack, Anisotropic elasticity, Boundary element method (BEM).
Abstract In this paper, the path independent mutual or$M$-integral for the computation of the$T$-stress for interface cracks between dissimilar anisotropic, linear elastic solids, is developed. The required auxiliary field solution is derived from the solution of the problem of an anisotropic composite wedge subjected to a point force at its apex. The Boundary Element Method (BEM) is employed for the numerical stress analysis in which special crack-tip elements with the proper oscillatory traction singularity are used. The successful implementation of the procedure for evaluating the$T$-stress in a bi-material interface crack and its application are demonstrated by numerical examples.
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