SYMPOSIA PAPER Published: 01 January 1997

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


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.

Author Information

Heim, D
Hibbit, Karlsson and Sorensen Inc.
Xiao, L
The University of Texas at Austin, Austin, TX
Mear, ME
The University of Texas at Austin, Austin, TX
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Developed by Committee: E08
Pages: 517–529
DOI: 10.1520/STP16252S
ISBN-EB: 978-0-8031-5355-4
ISBN-13: 978-0-8031-2412-7