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Journal of Elasticity
Published in: Journal of Elasticity 2/2013

01-02-2013

Integral Identities for a Semi-infinite Interfacial Crack in 2D and 3D Elasticity

Authors: A. Piccolroaz, G. Mishuris

Published in: Journal of Elasticity | Issue 2/2013

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Abstract

The paper is concerned with the problem of a semi-infinite crack at the interface between two dissimilar elastic half-spaces, loaded by a general asymmetrical system of forces distributed along the crack faces. On the basis of the weight function approach and the fundamental reciprocal identity (Betti formula), we formulate the elasticity problem in terms of singular integral equations relating the applied loading and the resulting crack opening. Such formulation is fundamental in the theory of elasticity and extensively used to solve several problems in linear elastic fracture mechanics (for instance various classic crack problems in homogeneous and heterogeneous media).
next article Plane Deformations Generated by a Prescribed Finite Rotation Field

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Appendix
Available only for authorised users
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Metadata
Title
Integral Identities for a Semi-infinite Interfacial Crack in 2D and 3D Elasticity
Authors
A. Piccolroaz
G. Mishuris
Publication date
01-02-2013
Publisher
Springer Netherlands
Published in
Journal of Elasticity / Issue 2/2013
Print ISSN: 0374-3535
Electronic ISSN: 1573-2681
DOI
https://doi.org/10.1007/s10659-012-9385-2

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