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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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dc.contributor.author Ang, Whye Teong
dc.contributor.author Athanasius, Louis Commillus
dc.date.accessioned 2011-10-17T04:03:04Z
dc.date.available 2011-10-17T04:03:04Z
dc.date.copyright 2011
dc.date.issued 2011-10-17
dc.identifier.citation Ang, W. T., & Athanasius, L. C. (2011). Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space: a semi-analytic solution. European Journal of Mechanics - A/Solids, 30(4), 608-618.
dc.identifier.issn 0997-7538
dc.identifier.uri http://hdl.handle.net/10220/7284
dc.description.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.
dc.format.extent 38 p.
dc.language.iso en
dc.relation.ispartofseries European journal of mechanics-A/solids
dc.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
dc.subject DRNTU::Engineering::Mathematics and analysis
dc.title Dynamic interaction of multiple arbitrarily oriented planar cracks in a piezoelectric space : a semi-analytic solution
dc.type Journal Article
dc.contributor.school School of Mechanical and Aerospace Engineering
dc.identifier.doi http://dx.doi.org/10.1016/j.euromechsol.2011.03.003
dc.description.version Accepted version

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