eprintid: 3229
rev_number: 7
eprint_status: archive
userid: 69
dir: disk0/00/00/32/29
datestamp: 2016-03-14 14:23:16
lastmod: 2016-03-14 14:23:16
status_changed: 2016-03-14 14:23:16
type: article
succeeds: 3228
metadata_visibility: show
creators_name: Morini, Lorenzo
creators_name: Radi, Enrico
creators_name: Movchan, Alexander
creators_name: Movchan, Natalia
creators_id: lorenzo.morini@imtlucca.it
creators_id: 
creators_id: 
creators_id: 
title: Stroh formalism in analysis of skew-symmetric and symmetric weight functions for interfacial cracks
ispublished: pub
subjects: T1
subjects: TA
subjects: TH
divisions: CSA
full_text_status: none
monograph_type: working_paper
keywords: Interfacial crack, Riemann–Hilbert problem, Stroh formalism, weight functions, stress intensity factor
abstract: The focus of the article is on analysis of skew-symmetric weight matrix functions for interfacial cracks in two dimensional anisotropic solids. It is shown that the Stroh formalism proves to be an efficient approach to this challenging task. Conventionally, the weight functions, both symmetric and skew-symmetric, can be identified as a non-trivial singular solutions of the homogeneous boundary value problem for a solid with a crack. For a semi-infinite crack, the problem can be reduced to solving a matrix Wiener-Hopf functional equation. Instead, the Stroh matrix representation of displacements and tractions, combined with a Riemann-Hilbert formulation, is used to obtain an algebraic eigenvalue problem, that is solved in a closed form. The proposed general method is applied to the case of a quasi-static semi-infinite crack propagation between two dissimilar orthotropic media: explicit expressions for the weight matrix functions are evaluated and then used in the computation of complex stress intensity factor corresponding to an asymmetric load acting on the crack faces.
date: 2012
date_type: published
publication: Mathematics and Mechanics of Solids
volume: 18
number: 2
publisher: Sage
pagerange: 135-152
id_number: 10.1177/1081286512462299
institution: IMT Institute for Advanced Studies Lucca
refereed: TRUE
issn: 1081-2865
official_url: http://mms.sagepub.com/content/18/2/135.abstract
citation:   Morini, Lorenzo and Radi, Enrico and Movchan, Alexander and Movchan, Natalia  Stroh formalism in analysis of skew-symmetric and symmetric weight functions for interfacial cracks.  Mathematics and Mechanics of Solids, 18 (2).  pp. 135-152.  ISSN 1081-2865      (2012)