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Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space : a semi-analytic solution

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Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space : a semi-analytic solution

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Title: Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space : a semi-analytic solution
Author: Ang, Whye Teong; Athanasius, Louis Commillus
Copyright year: 2011
Abstract: The problem of determining the electro-elastic fields around arbitrarily oriented planar cracks in an infinite piezoelectric space is considered. The cracks which are acted upon by a transient load are either electrically impermeable or permeable. A semi-analytic method based on the theory of exponential Fourier transformation is proposed for solving the problem in the Laplace transform domain. The Laplace transforms of the jumps in the displacements and electric potential across opposite crack faces are determined by solving a system of hypersingular integral equations. Once these displacement and electric potential jumps are obtained, the displacements and electric potential and other physical quantities of interest, such as the crack tip stress and electric displacement intensity factors, can be computed with the help of a suitable algorithm for inverting Laplace transforms. The stress and electric displacement intensity factors are computed for some specific cases of the problem.
Subject: DRNTU::Engineering::Mathematics and analysis
Type: Journal Article
Series/ Journal Title: European journal of mechanics-A/solids
School: School of Mechanical and Aerospace Engineering
Rights: © 2011 Elsevier Masson SAS This is the author created version of a work that has been peer reviewed and accepted for publication by European Journal of Mechanics-A/Solids, © 2011 Elsevier Masson SAS.  It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document.  The published version is available at: http://dx.doi.org/10.1016/j.euromechsol.2011.03.003
Version: Accepted version

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