Closed-form solution for piezoelectric layer with two collinear cracks parallel to the boundaries

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dc.contributor.authorSingh, B. M.
dc.contributor.authorRokne, J.
dc.contributor.authorDhaliwal, R. S.
dc.date.accessioned2018-09-27T12:16:19Z
dc.date.available2018-09-27T12:16:19Z
dc.date.issued2006-05-11
dc.date.updated2018-09-27T12:16:19Z
dc.description.abstractWe consider the problem of determining the stress distribution in an infinitely long piezoelectric layer of finite width, with two collinear cracks of equal length and parallel to the layer boundaries. Within the framework of reigning piezoelectric theory under mode III, the cracked piezoelectric layer subjected to combined electromechanical loading is analyzed. The faces of the layers are subjected to electromechanical loading. The collinear cracks are located at the middle plane of the layer parallel to its face. By the use of Fourier transforms we reduce the problem to solving a set of triple integral equations with cosine kernel and a weight function. The triple integral equations are solved exactly. Closed form analytical expressions for stress intensity factors, electric displacement intensity factors, and shape of crack and energy release rate are derived. As the limiting case, the solution of the problem with one crack in the layer is derived. Some numerical results for the physical quantities are obtained and displayed graphically.
dc.description.versionPeer Reviewed
dc.identifier.citationB. M. Singh, J. Rokne, and R. S. Dhaliwal, “Closed-form solution for piezoelectric layer with two collinear cracks parallel to the boundaries,” Mathematical Problems in Engineering, vol. 2006, Article ID 91846, 16 pages, 2006. doi:10.1155/MPE/2006/91846
dc.identifier.doihttps://doi.org/10.1155/MPE/2006/91846
dc.identifier.urihttp://hdl.handle.net/1880/108545
dc.identifier.urihttps://doi.org/10.11575/PRISM/44809
dc.language.rfc3066en
dc.rights.holderCopyright © 2006 B. M. Singh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
dc.titleClosed-form solution for piezoelectric layer with two collinear cracks parallel to the boundaries
dc.typeJournal Article
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