Stress distribution in a two-dimensional infinite anisotropic medium with collinear cracks
type: Item
instance of: scholarly article
title: Stress distribution in a two-dimensional infinite anisotropic medium with collinear cracks
zbMATH Open document ID: 0564.73085
DOI: 10.1007/BF00041993
author: K. S. Parihar
author: S. Sowdamini
published in: Journal of Elasticity
publication date: 1985-01-01T00:00:00Z
review text: The plane problem of an anisotropic material with cracks, whose surfaces are subject to surface tractions of a general kind, is studied. The medium considered is of infinite extent and the cracks are located on a single line. The Fourier transform method is employed to derive the stress and displacement components at an arbitrary point of the medium in terms of the dislocation densities and the stress discontinuities on the crack line. These formulae for stress and displacement components involve the roots of a quartic equation whose coefficients are the material constants. The cases of different roots and pairwise coincident roots are examined separately. An orthotropic medium is an important example for the case of different roots while an isotropic medium is that for the case of pairwise coincident roots. These examples are discussed in detail. As an illustration of the use of these formulae the problem of a single crack in an infinite anisotropic medium is examined in detail.
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 35A22
zbMATH DE Number: 3900312
zbMATH Keywords: plane problem
zbMATH Keywords: surface tractions of a general kind
zbMATH Keywords: infinite extent
zbMATH Keywords: cracks are located on a single line
zbMATH Keywords: Fourier transform method
zbMATH Keywords: stress and displacement components
zbMATH Keywords: arbitrary point
zbMATH Keywords: dislocation densities
zbMATH Keywords: stress discontinuities
zbMATH Keywords: roots of a quartic equation
zbMATH Keywords: different roots
zbMATH Keywords: pairwise coincident roots
zbMATH Keywords: orthotropic medium
MaRDI profile type: Publication
cites work: Q5607812
cites work: The stress distribution in an infinite anisotropic plate with co-linear cracks
cites work: Combined Stresses in an Orthotropic Plate Having a Finite Crack
cites work: A study of cracks in orthotropic crystals using dislocation layers
description: scientific article; zbMATH DE number 3900312