Interface crack loaded by a time-harmonic plane wave
type: Item
instance of: scholarly article
title: Interface crack loaded by a time-harmonic plane wave
zbMATH Open document ID: 0795.73061
DOI: 10.1016/0020-7683(94)90110-4
author: Jian-Min Qu
published in: International Journal of Solids and Structures
publication date: 1994-09-18T00:00:00Z
review text: The two-dimensional problem of a finite crack along the interface of two dissimilar solids loaded by a plane wave has been studied. Fourier transform has been used for reducing the problem to that of solving a vectorial Cauchy singular integral equation for dislocation density on the crack face. This singular integral equation is solved numerically by the well-known Jacobi polynomial technique. Physical quantities such as crack shape and stress intensity factors have been obtained for various values of incident frequencies and incident angles. The crack faces are found to interpenetrate at the crack tip, and the stress field at the crack tip is found to be oscillatory. For practical purposes, an engineering approximation is suggested to overcome these situations at the crack tip.
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74J20
zbMATH DE Number: 527582
zbMATH Keywords: Fourier transform
zbMATH Keywords: vectorial Cauchy singular integral equation
zbMATH Keywords: dislocation density
zbMATH Keywords: Jacobi polynomial technique
zbMATH Keywords: stress intensity factors
zbMATH Keywords: crack tip
MaRDI profile type: Publication
full work available at URL: 0020-7683(94)90110-4
OpenAlex ID: W2091097893
description: scientific article; zbMATH DE number 527582