Elastodynamic Response of an Orthotropic Strip with Two Coplanar Cracks

The elastodynamic response of two coplanar finite cracks in an infinite orthotropic strip due to longitudinal waves incident normally on the cracks has been investigated in this paper. Fourier transforms are used to reduce the mixed boundary value problem to Cauchy-type singular integral equation, w...

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Published inMultidiscipline modeling in materials and structures Vol. 4; no. 1; pp. 59 - 74
Main Authors Munshi, Nasima, Mandal, S.C
Format Journal Article
LanguageEnglish
Published Bingley Emerald Group Publishing Limited 01.01.2008
Subjects
Boundary value problems
Cauchytype singular integral equation
Cracks
Elastodynamics
Finite crack
Fourier transforms
Mathematical analysis
Mathematical models
Orthotropic strip
Pwave
Singular integral equations
Stress intensity factor
Strip
Finite crack
Cauchy-type singular integral equation
P-wave
Stress intensity factor
Orthotropic strip
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Summary:The elastodynamic response of two coplanar finite cracks in an infinite orthotropic strip due to longitudinal waves incident normally on the cracks has been investigated in this paper. Fourier transforms are used to reduce the mixed boundary value problem to Cauchy-type singular integral equation, which is solved numerically. The stress intensity factors at the edges of the cracks have been derived and plotted against dimensionless frequency for different geometry parameters. Also normal stress out side the cracks has been calculated numerically and plotted for different parameters and different materials.
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ISSN:1573-6105
1573-6113
DOI:10.1163/157361108783470405