A 3-D boundary element formulation of anisotropic elasticity with gravity
type: Item
instance of: scholarly article
title: A 3-D boundary element formulation of anisotropic elasticity with gravity
zbMATH Open document ID: 0851.73074
DOI: 10.1016/0307-904X(95)00092-X
published in: Applied Mathematical Modelling
publication date: 1996-05-22T00:00:00Z
review text: We present a new boundary element formulation for three-dimensional linear elastic bodies with anisotropic properties (transverse isotropy with any orientation) subject to gravity. Green's functions for such anisotropic media are derived in exact closed-form. Particular stresses and displacements related to the gravity body force are also presented in exact closed-form for generalized anisotropic media. The boundary integral equation with only weak singularities is formulated based on the principle of superposition, and no numerical integration associated either with the Green's functions for anisotropic media or with body forces is necessary.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 880841
zbMATH Keywords: transverse isotropy
zbMATH Keywords: Green's functions
zbMATH Keywords: generalized anisotropic media
zbMATH Keywords: weak singularities
zbMATH Keywords: principle of superposition
author: E. Pan
author: Bernard Amadei
MaRDI profile type: Publication
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full work available at URL: 0307-904x(95)00092-x
OpenAlex ID: W2076161701
description: scientific article; zbMATH DE number 880841