3D Elastostatic Boundary Element Analysis of thin bodies by Integral Regularizations

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

This paper presents a regularization scheme for the nearly singular integrals used for 3D elastostatic boundary element analysis. For the regularization process, the local projection coordinates of the source point are first located via an iteration procedure. For planar elements, the boundary integrals are analytically integrated by parts to smooth the drastic fluctuations of their integrands so that the regularized forms can be numerically integrated by any conventional schemes in an usual manner. The validity of the formulations is numerically tested using the Gauss Quadrature scheme. The test shows the accuracy is satisfactory for the distance ratio (distance: Element characteristic length) falling below micro-scale. To further demonstrate our successful implementation, a numerical example is studied with verifications compared with ANSYS analysis.

Original languageEnglish
Pages (from-to)533-543
Number of pages11
JournalJournal of Mechanics
Volume31
Issue number5
DOIs
Publication statusPublished - 2015 Oct 1

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elastostatics
thin bodies
Elastostatics
Boundary Elements
Elasticity
Regularization
Nearly Singular Integrals
falling
quadratures
point sources
iteration
Gauss Quadrature
projection
Boundary Integral
ANSYS
Point Source
Integrand
formulations
Projection
Fluctuations

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

Cite this

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3D Elastostatic Boundary Element Analysis of thin bodies by Integral Regularizations. / Shiah, Y. C.

In: Journal of Mechanics, Vol. 31, No. 5, 01.10.2015, p. 533-543.

Research output: Contribution to journalArticle

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