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Solutions of branch crack problems in plane elasticity by using a new integral equation approach

✍ Scribed by Y.K. Cheung; Y.Z. Chen

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 668 KB
Volume: 28
Category: Article
ISSN: 0013-7944
DOI: 10.1016/0013-7944(87)90117-2

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✦ Synopsis

A new integral equation is proposed in this paper to investigate the problems of branch cracks with arbitrary configuration in plane elasticity. In the new integral equation, the unknown functions are the usual dislocation functions, and the right hand terms of the integral equations represent the resultant forces. The final integral equation belongs to the Fredholm type with log kernels. Some proposals for choice of interpolation equations for dislocation functions and determination of mesh intervals are given. Several numerical examples are presented. The results of the present approach are compared with those previously published and good agreement has been found.

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