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Boundary Element Analysis of Thin Anisotropic Structures by a Self-regularization Scheme

Y.C. Shiah1, C.L. Tan2,3, Li-Ding Chan1
Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan 701, Taiwan, ROC.
Corresponding author; Email: choonlai.tan@carleton.ca
Department of Mechanical & Aerospace Engineering, Carleton University, Ottawa, Canada K1S5B6

Computer Modeling in Engineering & Sciences 2015, 109-110(1), 15-33. https://doi.org/10.3970/cmes.2015.109.015

Abstract

In the conventional boundary element method (BEM), the presence of singular kernels in the boundary integral equation or integral identities causes serious inaccuracy of the numerical solutions when the source and field points are very close to each other. This situation occurs commonly in elastostatic analysis of thin structures. The numerical inaccuracy issue can be resolved by some regularization process. Very recently, the self-regularization scheme originally proposed by Cruse and Richardson (1996) for 2D stress analysis has been extended and modified by He and Tan (2013) to 3D elastostatics analysis of isotropic bodies. This paper deals with the extension of the technique developed by the latter authors to the elastostatics analysis of 3D thin, anisotropic structures using the self-regularized displacement boundary integral equation (BIE). The kernels of the BIE employ the double Fourier-series representations of the fundamental solutions as proposed by Shiah, Tan and Wang (2012) and Tan, Shiah and Wang (2013) recently. Numerical examples are presented to demonstrate the veracity of the scheme for BEM analysis of thin anisotropic bodies.

Keywords

Self-regularization, boundary element method, nearly singular integrals, thin anisotropic bodies.

Cite This Article

Shiah, Y., Tan, C., Chan, L. (2015). Boundary Element Analysis of Thin Anisotropic Structures by a Self-regularization Scheme. CMES-Computer Modeling in Engineering & Sciences, 109-110(1), 15–33.



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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