eprintid: 3227
rev_number: 6
eprint_status: archive
userid: 69
dir: disk0/00/00/32/27
datestamp: 2016-03-14 14:17:09
lastmod: 2016-03-14 14:17:09
status_changed: 2016-03-14 14:17:09
type: article
succeeds: 3226
metadata_visibility: show
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: none
monograph_type: working_paper
keywords: Interfacial crack; Stroh formalism; Weight functions; Betty Identity; Singular integral
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: 2013
date_type: published
publication: International Journal of Solids and Structures
volume: 50
number: 9
publisher: Elsevier
pagerange: 1437-1448
id_number: 10.1016/j.ijsolstr.2013.01.021
institution: IMT Institute for Advanced Studies Lucca
refereed: TRUE
issn: 0020-7683
official_url: http://www.sciencedirect.com/science/article/pii/S002076831300036X?np=y
citation:   Morini, Lorenzo and Piccolroaz, Amdrea and Mishuris, Gennady and Radi, Enrico  Integral identities for a semi-infinite interfacial crack in anisotropic elastic bimaterials.  International Journal of Solids and Structures, 50 (9).  pp. 1437-1448.  ISSN 0020-7683      (2013)