Singular loadings in elasticity problems and singular solutions of the corresponding integral equations
type: Item
instance of: scholarly article
title: Singular loadings in elasticity problems and singular solutions of the corresponding integral equations
zbMATH Open document ID: 0568.73019
DOI: 10.1007/BF00041429
author: B. George
published in: Journal of Elasticity
publication date: 1985-01-01T00:00:00Z
review text: A method of singular integral equations is an efficient method for the formulation and numerical solution of plane and antiplane, static and dynamic, isotropic and anisotropic elasticity problems. Here we consider three cases of singular loadings of the elastic medium: by a force, by a moment and by a loading distribution with a simple pole. These loadings cause corresponding singularities in the right-hand side function and in the unknown function of the integral equation. A method for the numerical solution of the singular integral equation under the above singular loadings is proposed and the validity of this equation at the singular points is investigated.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 45E05
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 74G70
zbMATH DE Number: 3907868
zbMATH Keywords: Labatto-Chebyshev method
zbMATH Keywords: three cases of singular loadings
zbMATH Keywords: elastic medium
zbMATH Keywords: force
zbMATH Keywords: moment
zbMATH Keywords: loading distribution
zbMATH Keywords: simple pole
zbMATH Keywords: singular points
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00041429
OpenAlex ID: W2003206118
description: scientific article; zbMATH DE number 3907868