Closed-form solution for a mode-III interfacial edge crack between two bonded dissimilar elastic strips

Xiang Fa Wu, Yuris A. Dzenis

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

A closed-form solution is obtained for the problem of a mode-III interfacial edge crack between two bonded semi-infinite dissimilar elastic strips. A general out-of-plane displacement potential for the crack interacting with a screw dislocation or a line force is constructed using conformal mapping technique and existing dislocation solutions. Based on this displacement potential, the stress intensity factor (SIF, KIII) and the energy release rate (ERR, GIII) for the interfacial edge crack are obtained explicitly. It is shown that, in the limiting special cases, the obtained results coincide with the results available in the literature. The present solution can be used as the Green's function to analyze interfacial edge cracks subjected to arbitrary anti-plane loadings. As an example, a formula is derived correcting the beam theory used in evaluation of SIF (KIII) and ERR (GIII) of bimaterials in the double cantilever beam (DCB) test configuration.

Original languageEnglish (US)
Pages (from-to)407-412
Number of pages6
JournalMechanics Research Communications
Volume29
Issue number5
DOIs
StatePublished - Sep 2002

Keywords

  • Bimaterial
  • Double cantilever beam
  • Edge crack
  • Interfacial crack
  • Screw dislocation
  • Stress intensity factor
  • Strip

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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