The general solution for a finite thermopiezoelectric plate containing a hole and a crack

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dc.contributor.author Tsamasphyros, G en
dc.contributor.author Song, ZF en
dc.date.accessioned 2014-03-01T01:25:15Z
dc.date.available 2014-03-01T01:25:15Z
dc.date.issued 2006 en
dc.identifier.issn 0939-1533 en
dc.identifier.uri http://hdl.handle.net/123456789/17619
dc.subject Anisotropic Material en
dc.subject Approximate Solution en
dc.subject General Solution en
dc.subject Least Square Method en
dc.subject Multiply Connected Domain en
dc.subject Power Series en
dc.subject Two Dimensions en
dc.subject Stress and Electric Displacement en
dc.subject.classification Mechanics en
dc.subject.other Anisotropy en
dc.subject.other Contour measurement en
dc.subject.other Cracks en
dc.subject.other Green's function en
dc.subject.other Least squares approximations en
dc.subject.other Phase transitions en
dc.subject.other Stress intensity factors en
dc.subject.other Complex variables en
dc.subject.other Conformal transformation en
dc.subject.other Finite thermopiezoelectric plates en
dc.subject.other Laurent series en
dc.subject.other Piezoelectric devices en
dc.title The general solution for a finite thermopiezoelectric plate containing a hole and a crack en
heal.type journalArticle en
heal.identifier.primary 10.1007/s00419-006-0001-4 en
heal.identifier.secondary http://dx.doi.org/10.1007/s00419-006-0001-4 en
heal.language English en
heal.publicationDate 2006 en
heal.abstract By application of complex variables and conformal transformation, the general solution to multiply connected domains of two dimensions is constructed in terms of multiple Laurent series for thermopiezoelectric materials. Three typical boundaries, i.e., a rectangular contour, a curvilinear hole, and a line crack are considered in the paper. Though the Green's function of an arbitrarily shaped hole still remains unknown for anisotropic materials, the approximate solutions both for thermal and electro-mechanical fields are obtained in explicit form by the least square method. The accuracy of the approximation are investigated upon each boundary contours. It is found that the local error on the crack surface diminishes below 10-7% by adopting only 20 terms of related power series. For a rectangular plate, the precision is enhanced up to the level of 99.99% on its boundary contour by adding the supplementary function, due to the rectangular corners, into the complex solution. Considering that the singular character of a crack is retained in the solution, the stress and electric displacement intensity factors influenced by the hole width and plate size are exhibited herein. © Springer-Verlag 2006. en
heal.publisher SPRINGER en
heal.journalName Archive of Applied Mechanics en
dc.identifier.doi 10.1007/s00419-006-0001-4 en
dc.identifier.isi ISI:000240909900001 en
dc.identifier.volume 76 en
dc.identifier.issue 1-2 en
dc.identifier.spage 1 en
dc.identifier.epage 17 en

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