New regularization formulas in the boundary element method for anisotropic elasticity
type: Item
instance of: scholarly article
title: New regularization formulas in the boundary element method for anisotropic elasticity
zbMATH Open document ID: 0903.73075
DOI: 10.1016/S0093-6413(97)00042-6
published in: Mechanics Research Communications
publication date: 1999-01-06T00:00:00Z
review text: The paper concerns the regularized integral representation of displacement gradients within anisotropic elasticity. The integral representations of displacements and Green's functions are recapitulated for three-dimensional problems. The regularitization is performed by isolating singularities and by subtraction technique. A new contribution of the paper is an explicit expression for the displacement gradients at the singular point in terms of tractions and tangent derivatives of displacements at this point. Finally, the tangent derivatives are expressed in terms of the derivatives within respect to local coordinates introduced on each boundary element within the discretization of the boundary surface.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 1080486
zbMATH Keywords: displacement gradients
zbMATH Keywords: Green's functions
zbMATH Keywords: three-dimensional problems
zbMATH Keywords: subtraction technique
zbMATH Keywords: singular point
zbMATH Keywords: tangent derivatives
author: Naum Khutoryansky
author: Horacio Sosa
reviewed by: Vladimir Sladek
MaRDI profile type: Publication
Wikidata QID: Q126436392
full work available at URL: s0093-6413(97)00042-6
OpenAlex ID: W1994917508
description: scientific article; zbMATH DE number 1080486