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Complex variable boundary integral equations for perforated infinite planes
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DOI：10.1016/S0955-7997(01)00006-6.png)
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摘要
En 中文
A fast and stable numerical algorithm is presented for the elastostatic problem of a linearly elastic plane with holes, loaded at infinity. The holes are free of stress. The algorithm is based on an integral equation which is intended as an alternative to the classic Sherman-Lauricella equation. The new scheme is argued to be both simpler and more reliable than schemes based on the Sherman-Lauricella equation. Improvements include simpler geometrical description, simpler relationships between mathematical and physical quantities, simpler extension to problems involving also inclusions and cracks, and more stable numerical convergence. (C) 2001 Elsevier Science Ltd. All rights reserved.
Keyword:
linear elasticity
holes
integral equation of Fredholm type
fast multipole method
Sherman-Lauricella equation
effective elastic moduli
stress concentration factor
numerical methods
stable algorithms
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