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Boundary Element Stress Analysis of Thin Layered Anisotropic Bodies

Y.C. Shiah1, Y.C. Lin1, C. L. Tan2
Department of Aerospace Eng. and Systems Eng., Feng Chia University, 100 Wenhwa Road, Seatwen 40, Taichung, Taiwan
Correspondence author, Dept. of Mechanical & Aerospace Engng., Carleton University, Ottawa, Canada K1S 5B6

Computer Modeling in Engineering & Sciences 2006, 16(1), 15-26.


In this paper, the order of singularity of the integrals appearing in the boundary integral equation for two-dimensional BEM analysis in anisotropic elasticity is reduced using integration by parts. The integral containing the traction fundamental solution is then analytically integrated to give an exact formulation for a general element of n-order interpolation of the variables. This allows the integrals to be very accurately evaluated even for very thin, slender bodies without the need for excessively refined meshes as in conventional BEM analysis. Three example problems involving thin, layered materials are presented to demonstrate the veracity and successful implementation of the proposed scheme. The BEM results obtained show very good agreement with those obtained analytically for one, and with those from FEM analysis using the commercial software ANSYS for the other two example problems.


Boundary element method, Nearly-singular integrals, Thin layered anisotropic bodies.

Cite This Article

Shiah, Y., Lin, Y., Tan, C. L. (2006). Boundary Element Stress Analysis of Thin Layered Anisotropic Bodies. CMES-Computer Modeling in Engineering & Sciences, 16(1), 15–26.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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