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

A. Piccolroaz*, G. Mishuris

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (SciVal)


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).

Original languageEnglish
Pages (from-to)117-140
Number of pages24
JournalJournal of Elasticity
Issue number2
Publication statusPublished - Feb 2013


  • Hydraulic fracture
  • Singular integral
  • Weight function
  • Interfacial crack
  • Betti identity


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