SEDL / STP / STP1296-EB / STP16252S

Boundary Element/Dislocation Density Methodology for Analysis of Cracks in Anisotropic Solids

Heim, D
Hibbit, Karlsson and Sorensen Inc.,

Xiao, L
Graduate research assistant and associate professor, The University of Texas at Austin, Austin, TX

Mear, ME
Graduate research assistant and associate professor, The University of Texas at Austin, Austin, TX

Pages: 13    Published: Jan 1997

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Abstract

A boundary element method is presented for the stress analysis of cracks in two-dimensional, linearly elastic anisotropic solids. The technique is an extension of that by Chang and Mear [5] for isotropic solids and involves the use of a special “regularization” for certain integrals associated with the crack line. The resulting integral equations consist of the conventional ordinary boundary terms as well as two additional terms that correspond to a distribution of concentrated forces and a distribution of dislocations along the crack line. In the numerical implementation of the formulation, the ordinary boundary integrals are treated with standard boundary element techniques, while a special numerical procedure is used to treat the crack line integrals. The resulting procedure is applied to several example problems to demonstrate the accuracy and efficiency of the method.