Application of Betti's reciprocal work theorem to the construction of the hypersingular integral equation of a plane crack in three-dimensional elasticity
type: Item
instance of: scholarly article
title: Application of Betti's reciprocal work theorem to the construction of the hypersingular integral equation of a plane crack in three-dimensional elasticity
zbMATH Open document ID: 0616.73087
DOI: 10.1007/BF00127555
author: Yanyan Li
published in: Journal of Elasticity
publication date: 1987-01-01T00:00:00Z
review text: The two-dimensional hypersingular integral equation of a plane crack under an arbitrary normal pressure distribution inside an infinite, three-dimensional, isotropic elastic medium is rederived here by application of the classical Betti reciprocal work theorem. This approach is a very simple one and, moreover, it illustrates the usefulness of the aforementioned theorem for the derivation of hypersingular integral equations of elasticity problems.
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 45E99
zbMATH DE Number: 3999448
zbMATH Keywords: two-dimensional hypersingular integral equation
zbMATH Keywords: plane crack
zbMATH Keywords: arbitrary normal pressure distribution
zbMATH Keywords: infinite, three-dimensional, isotropic elastic medium
zbMATH Keywords: classical Betti reciprocal work theorem
MaRDI profile type: Publication
cites work: Applications of finite-part integrals to the singular integral equations of crack problems in plane and three-dimensional elasticity
cites work: Exact expression for a two-dimensional finite-part integral appearing during the numerical solution of crack problems in three-dimensional elasticity
cites work: Q5683765
description: scientific article; zbMATH DE number 3999448