A boundary element-free method (BEFM) for three-dimensional elasticity problems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)13-20
Journal / PublicationComputational Mechanics
Volume36
Issue number1
Publication statusPublished - Jun 2005

Abstract

This study combines the boundary integral equation (BIE) method and improved moving least-squares (IMLS) approximation to present a direct meshless boundary integral equation method, the boundary element-free method (BEFM) for three-dimensional elasticity. Based on the improved moving least-squares approximation and the boundary integral equation for three-dimensional elasticity, the formulae of the boundary element-free method are given, and the numerical procedure is also shown. Unlike other meshless boundary integral equation methods, the BEFM is a direct numerical method in which the basic unknown quantity is the real solution of the nodal variables, and the boundary conditions can be applied directly and easily, thus giving it a greater computational precision. Three selected numerical examples are presented to demonstrate the method. © Springer-Verlag 2005.

Research Area(s)

  • Boundary element-free method (BEFM), Boundary integral equation, Compact support domain, Elasticity, Improved moving least-squares (IMLS) approximation, Meshless method, Moving least-squares (MLS) approximation, Weight function, Weighted orthogonal function

Citation Format(s)

A boundary element-free method (BEFM) for three-dimensional elasticity problems. / Kitipornchai, S.; Liew, K. M.; Cheng, Y.
In: Computational Mechanics, Vol. 36, No. 1, 06.2005, p. 13-20.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review