Analysis of a crack in a finite thermopiezoelectric plate under heat flux

Tsamasphyros, G; Song, ZF

dc.contributor.author	Tsamasphyros, G	en
dc.contributor.author	Song, ZF	en
dc.date.accessioned	2014-03-01T01:21:50Z
dc.date.available	2014-03-01T01:21:50Z
dc.date.issued	2005	en
dc.identifier.issn	0376-9429	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16392
dc.subject	Crack	en
dc.subject	Piezoelectric plate	en
dc.subject	Stress intensity factor	en
dc.subject	Thermal stresses	en
dc.subject.classification	Mechanics	en
dc.subject.other	Heat flux	en
dc.subject.other	Least squares approximations	en
dc.subject.other	Piezoelectric devices	en
dc.subject.other	Stress intensity factors	en
dc.subject.other	Thermal stress	en
dc.subject.other	Finite thermopiezoelectric plate	en
dc.subject.other	Laurent series	en
dc.subject.other	Mechanical fields	en
dc.subject.other	Stress and electric displacement	en
dc.subject.other	Cracks	en
dc.title	Analysis of a crack in a finite thermopiezoelectric plate under heat flux	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10704-005-5421-6	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10704-005-5421-6	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	The mechanical and electric fields in a finite thermopiezoelectric plate containing an isolated crack are formulated by applications of the Stroh's formulism and conformal transformation. The general form of the solution is constructed consisting of a holomorphic part in terms of Laurent series of each mapping planes, and a nonholomorphic part in integral form due to the crack. The approximate solution is obtained by least square method for a rectangular plate in which supplementary functions are introduced concerning its four corners for the purpose of accelerating the convergency of the Laurent series. The coefficients of the Laurent series of the solution, both for thermal field and electro-mechanical field, are exhibited for a crack problem, and the accuracy of the approximation is explored subsequently. The stress and electric displacement (SED) intensity factors are given for varying the plate size and the crack site. For specified crack length, considerable enhancement of SED intensity factors may be attained as the plate size increases owing to the mechanical and electric fields formed under uniform heat flow. © Springer 2005.	en
heal.publisher	SPRINGER	en
heal.journalName	International Journal of Fracture	en
dc.identifier.doi	10.1007/s10704-005-5421-6	en
dc.identifier.isi	ISI:000236703700006	en
dc.identifier.volume	136	en
dc.identifier.issue	1-4	en
dc.identifier.spage	143	en
dc.identifier.epage	166	en