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Boundary Element Calculation of Near-Boundary Solutions in 3D Generally Anisotropic Solids by the Self-Regularization Scheme

Published online by Cambridge University Press:  24 August 2017

Y. C. Shiah  and
L. D. Chang
Y. C. Shiah*
Affiliation:
Department of Aeronautics and AstronauticsNational Cheng Kung UniversityTainan, Taiwan
L. D. Chang
Affiliation:
Department of Aeronautics and AstronauticsNational Cheng Kung UniversityTainan, Taiwan
*
*Corresponding author (ycshiah@mail.ncku.edu.tw)
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Abstract

This research targets investigation of the internal elastic field near the boundaries of 3D anisotropic bodies by the boundary element method (BEM). This analysis appears to be most important, especially for the interest in the internal solutions near corners or crack tips, where structural failure is most likely to occur. Although the BEM is very efficient for analyzing the problem, nearly singular integration will arise when the internal point of interest stays near the boundary. The present work is to show how the self-regularized boundary integral equation (BIE) can be applied to the interior analysis for 3D generally anisotropic bodies. So far, to the authors' best knowledge, no implementation work has been reported in the literature for successfully treating the near boundary solutions in 3D generally anisotropic solids. In the end, a few benchmark examples are presented to demonstrate the veracity of the present approach for the interior BEM analysis of 3D anisotropic elasticity.

Keywords

Boundary element methodSelf-regularizationNearly singular integralsInternal solutions3D anisotropic elasticity
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 6 , December 2017 , pp. 813 - 820
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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