Energy release rate and path independent integral study for piezoelectric material with crack

Spyropoulos, CP

dc.contributor.author	Spyropoulos, CP	en
dc.date.accessioned	2014-03-01T01:20:23Z
dc.date.available	2014-03-01T01:20:23Z
dc.date.issued	2004	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15904
dc.subject	Applied Mechanics	en
dc.subject	Boundary Condition	en
dc.subject	Electric Field	en
dc.subject	Energy Release Rate	en
dc.subject	Linear Elasticity	en
dc.subject	Piezoelectric Material	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Crack propagation	en
dc.subject.other	Cracks	en
dc.subject.other	Elasticity	en
dc.subject.other	Energy absorption	en
dc.subject.other	Fracture mechanics	en
dc.subject.other	Stresses	en
dc.subject.other	Energy release rate	en
dc.subject.other	Piezoelectric materials	en
dc.subject.other	piezoelectricity	en
dc.title	Energy release rate and path independent integral study for piezoelectric material with crack	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijsolstr.2003.09.031	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijsolstr.2003.09.031	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	The concept that an excess of energy would be required to extend a segment of the crack has been widely accepted and applied to characterize crack extension behavior for isotropic and homogeneous materials at the macroscopic scale. For linear elastic materials, the path independent integral is basically the same as that of energy release rate. Fracture analyses of multifunctional materials that involve mechanical as well as electric energy, however, show that inconsistencies could arise when applying the energy release rate or the path independent integral as a criterion of fracture. A sign change in the computed energy release rate could occur depending on the specified boundary conditions. This means that crack extension could correspond to dissipation as well as absorption of energy. Although this result has been pointed out in earlier publications but the implications have not been fully explored. In order to focus attention on the objective of this work, a simplified formulation of the piezoelectric crack problem will be considered. It will contain only three material constants. As it has been shown in previous works, the simplified piezoelastic solutions would exhibit the same qualitative conclusions. Results are presented for poling directed normal and parallel to the line crack. Shown specifically is the energy release rate can change sign as the applied mechanical stress is altered in relation to the applied electric field. (C) 2003 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/j.ijsolstr.2003.09.031	en
dc.identifier.isi	ISI:000188372300018	en
dc.identifier.volume	41	en
dc.identifier.issue	3-4	en
dc.identifier.spage	907	en
dc.identifier.epage	921	en