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

Tsamasphyros, G; Song, ZF

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	https://dspace.lib.ntua.gr/xmlui/handle/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