eprintid: 3234
rev_number: 7
eprint_status: archive
userid: 69
dir: disk0/00/00/32/34
datestamp: 2016-03-15 09:31:37
lastmod: 2016-03-15 09:31:37
status_changed: 2016-03-15 09:31:37
type: monograph
metadata_visibility: show
creators_name: Pryce, Lewis
creators_name: Morini, Lorenzo
creators_name: Andreeva, D.
creators_name: Zagnetko, A.
creators_id: 
creators_id: lorenzo.morini@imtlucca.it
creators_id: 
creators_id: 
title: Interfacial Cracks in Piezoelectric Bimaterials: an approach based on Weight Functions and Boundary Integral Equations
ispublished: submitted
subjects: T1
subjects: TA
divisions: CSA
full_text_status: none
monograph_type: working_paper
abstract: 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.
date: 2015
date_type: published
publisher: arXiv
institution: IMT Institute for Advanced Studies Lucca
official_url: http://arxiv.org/abs/1501.02114
citation:   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)