Determination of stress field in an elastic solid weakened by parallel penny-shaped cracks
type: Item
instance of: scholarly article
title: Determination of stress field in an elastic solid weakened by parallel penny-shaped cracks
zbMATH Open document ID: 0864.73009
DOI: 10.1007/BF01170397
author: Yanyan Li
published in: Acta Mechanica
publication date: 1997-06-24T00:00:00Z
review text: The authors solve the axisymmetric stress concentration problem for a linear elastic isotropic body containing two parallel penny-shaped cracks with different radii and subjected to an uniaxial tension. They apply the superposition principle together with the Eshelby's equivalent inclusion method in order to determine two stress concentration factors, the (relevant) first kind one and the (much smaller) second kind one which is due to the interaction of both cracks. For the case of a large crack distance, an analytical solution is worked out, and for a small distance numerical results are presented.
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74H35
Mathematics Subject Classification ID: 74R99
zbMATH DE Number: 940998
zbMATH Keywords: linear elastic isotropic body
zbMATH Keywords: uniaxial tension
zbMATH Keywords: superposition principle
zbMATH Keywords: Eshelby's equivalent inclusion method
zbMATH Keywords: large crack distance
zbMATH Keywords: analytical solution
reviewed by: Hans Bufler
MaRDI profile type: Publication
cites work: Some axially symmetric stress distributions in elastic solids containing penny-shaped cracks I. Cracks in an infinite solid and a thick plate
cites work: Q5514717
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cites work: Q4070500
cites work: Stress intensity factors for two coplanar penny-shaped cracks under uniaxial tension
full work available at URL: https://doi.org/10.1007/bf01170397
OpenAlex ID: W2001748099
description: scientific article; zbMATH DE number 940998