Symmetric and skew-symmetric weight functions in 2D perturbation models for semi-infinite interfacial cracks

A. B. Movchan, Gennady Mishuris, A. Piccolroaz

Research output: Contribution to journalArticlepeer-review

39 Citations (SciVal)

Abstract

In this paper we address the vector problem of a 2D half-plane interfacial crack loaded by a general asymmetric distribution of forces acting on its faces. It is shown that the general integral formula for the evaluation of stress intensity factors, as well as high-order terms, requires both symmetric and skew-symmetric weight function matrices. The symmetric weight function matrix is obtained via the solution of a Wiener-Hopf functional equation, whereas the derivation of the skew-symmetric weight function matrix requires the construction of the corresponding full field singular solution. The weight function matrices are then used in the perturbation analysis of a crack advancing quasi-statically along the interface between two dissimilar media. A general and rigorous asymptotic procedure is developed to compute the perturbations of stress intensity factors as well as high-order terms.
Original languageEnglish
Pages (from-to)1657-1682
Number of pages26
JournalJournal of the Mechanics and Physics of Solids
Volume57
Issue number9
DOIs
Publication statusPublished - 01 Sept 2009

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