Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Plane strain problem of two coplanar cracks in an initially stressed neo-Hookean anisotropic infinite medium

Authors: Brij M. Singh and Ranjit S. Dhaliwal
Journal: Quart. Appl. Math. 37 (1980), 451-457
DOI: https://doi.org/10.1090/qam/99631
MathSciNet review: QAM99631
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Abstract: We consider the plane strain problem of determining the crack energy in an initially stressed neo-Hookean anisotropic infinite medium containing two coplanar cracks. We assume that the cracks are opened by a constant internal pressure. By using a Fourier transform solution of the equilibrium equations the problem is reduced to solving a set of triple integral equations with a cosine kernel. These integral equations are solved and a closed-form expression for the crack energy $ W$ is obtained. The numerical values of $ W$ are graphed in Figs. 1, 2.

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DOI: https://doi.org/10.1090/qam/99631
Article copyright: © Copyright 1980 American Mathematical Society

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