eprintid: 3226
rev_number: 9
eprint_status: archive
userid: 69
dir: disk0/00/00/32/26
datestamp: 2016-03-14 14:14:28
lastmod: 2016-03-14 14:14:28
status_changed: 2016-03-14 14:14:28
type: monograph
metadata_visibility: no_search
creators_name: Morini, Lorenzo
creators_name: Piccolroaz, Amdrea
creators_name: Mishuris, Gennady
creators_name: Radi, Enrico
creators_id: lorenzo.morini@imtlucca.it
creators_id: 
creators_id: 
creators_id: 
title: Integral identities for a semi-infinite interfacial crack in anisotropic elastic bimaterials
ispublished: pub
subjects: T1
subjects: TA
divisions: CSA
full_text_status: public
monograph_type: working_paper
abstract: The focus of the article is on the analysis of a semi-infinite crack at the interface between two dissimilar anisotropic elastic materials, loaded by a general asymmetrical system of forces acting on the crack faces. Recently derived symmetric and skew-symmetric weight function matrices are introduced for both plane strain and antiplane shear cracks, and used together with the fundamental reciprocal identity (Betti formula) in order to formulate the elastic fracture problem in terms of singular integral equations relating the applied loading and the resulting crack opening. The proposed compact formulation can be used to solve many problems in linear elastic fracture mechanics (for example various classic crack problems in homogeneous and heterogeneous anisotropic media, as piezoceramics or composite materials). This formulation is also fundamental in many multifield theories, where the elastic problem is coupled with other concurrent physical phenomena.
date: 2012
date_type: submitted
publisher: arXiv
institution: IMT Institute for Advanced Studies Lucca
official_url: http://arxiv.org/abs/1205.1321
citation:   Morini, Lorenzo and Piccolroaz, Amdrea and Mishuris, Gennady and Radi, Enrico  Integral identities for a semi-infinite interfacial crack in anisotropic elastic bimaterials.  Working Paper   arXiv         
document_url: http://eprints.imtlucca.it/3226/1/1205.1321v5.pdf