A new boundary element method formulation for three dimensional problems in linear elasticity
type: Item
instance of: scholarly article
title: A new boundary element method formulation for three dimensional problems in linear elasticity
zbMATH Open document ID: 0612.73085
DOI: 10.1007/BF01182125
author: B. George
published in: Acta Mechanica
publication date: 1987-01-01T00:00:00Z
review text: A new boundary element method (BEM) formulation for planar problems of linear elasticity has been proposed recently. This formulation uses a kernel which as a weaker singularity relative to the corresponding kernel in the standard formulation. The most important advantage of the new formulation, relative to the standard one, is that it delivers stresses accurately at internal points that are extremely close to the boundary of a body. A corresponding BEM formulation for three dimensional problems of linear elasticity is presented in this paper. This formulation is derived through the use of Stokes' theorem and has kernels which are only 1/r singular (where r is the distance between a source and a field point) for the displacement equation. The standard BEM formulation for three- dimensional elasticity problems has a kernel which is \(1/r^ 2\) singular.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 3991032
zbMATH Keywords: boundary element method
zbMATH Keywords: three dimensional problems
zbMATH Keywords: Stokes' theorem
zbMATH Keywords: kernels
zbMATH Keywords: 1/r singular
describes a project that uses: NAPACK
MaRDI profile type: Publication
cites work: Q3318255
cites work: Q3965703
cites work: Q3219912
cites work: An integral equation approach to boundary value problems of classical elastostatics
cites work: Numerical solutions in three dimensional elastostatics
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cites work: On the existence of certain singular integrals
full work available at URL: https://doi.org/10.1007/bf01182125
OpenAlex ID: W2069287123
description: scientific article; zbMATH DE number 3991032