Certain triple integral equations with an application to a crack problem in the theory of elasticity
type: Item
instance of: scholarly article
zbMATH Open document ID: 0999.74098
author: A. P. Dwivedi
author: Jyotsna Chandel
publication date: 2002-11-28T00:00:00Z
Mathematics Subject Classification ID: 74R10
Mathematics Subject Classification ID: 45F10
Mathematics Subject Classification ID: 74G10
zbMATH DE Number: 1643895
zbMATH Keywords: inverse Mellin transform
zbMATH Keywords: triple integral equations
zbMATH Keywords: elasticity
zbMATH Keywords: stress intensity factors
zbMATH Keywords: crack formation energy
zbMATH Keywords: line cracks
zbMATH Keywords: circular hole
zbMATH Keywords: infinite elastic solid
zbMATH Keywords: longitudinal shear
MaRDI profile type: Publication
title: Certain triple integral equations with an application to a crack problem in the theory of elasticity
review text: The authors give a solution of a set of triple integral equations involving inverse Mellin-type transform \(G_r[f(r); s]=\int_R^{\infty}[r^{s-1}-R^{2s}r^{-s-1}]f(r) dr\). The formal calculations are carried out, but the classes of solutions are not discussed. As application, the authors detrmine the stress intensity factors and crack formation energy of a pair of line cracks near a circular hole of radius \(R\) in an infinite elastic solid under longtitudinal shear.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00032].
reviewed by: Nikolai Pleshchinskii
description: scientific article; zbMATH DE number 1643895