relation: http://eprints.imtlucca.it/3234/
title: Interfacial Cracks in Piezoelectric Bimaterials: an approach based on Weight Functions and Boundary Integral Equations
creator: Pryce, Lewis
creator: Morini, Lorenzo
creator: Andreeva, D.
creator: Zagnetko, A.
subject: T Technology (General)
subject: TA Engineering (General). Civil engineering (General)
description: The focus of this paper is on the analysis of a semi-infinite crack lying along a perfect interface in a piezoelectric bimaterial with arbitrary loading on the crack faces. Making use of the extended Stroh formalism for piezoelectric materials combined with Riemann-Hilbert formulation, general expressions are obtained for both symmetric and skew-symmetric weight functions associate with plane crack problems at the interface between dissimilar anisotropic piezoelectric media. The effect of the coupled electrical fields is incorporated in the derived original expressions for the weight function matrices. These matrices are used together with Betti's reciprocity identity in order to obtain singular integral equations relating the extended displacement and traction fields to the loading acting on the crack faces. In order to study the variation of the piezoelectric effect, two different poling directions are considered. Examples are shown for both poling directions with a number of mechanical and electrical loadings applied to the crack faces.
publisher: arXiv
date: 2015
type: Working Paper
type: NonPeerReviewed
identifier:   Pryce, Lewis and Morini, Lorenzo and Andreeva, D. and Zagnetko, A.  Interfacial Cracks in Piezoelectric Bimaterials: an approach based on Weight Functions and Boundary Integral Equations.  Working Paper   arXiv       (Submitted)   
relation: http://arxiv.org/abs/1501.02114