A crack at the interface of two power-law hardening materials-Antiplane case

Quanxin Guo*, Leon M. Keer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


The singular behavior near the crack tip at the interface between two power-law hardening materials is studied for the case of antiplane deformation. The stress-strain curves for both materials are approximated by segments that additively combine the perfectly plastic and linear elastic behaviors in such a way that within each segment the traction is continuous across the interface. The overall solution is obtained by summing a sufficiently large number of segments, leading to an integral representation. For power-law hardening materials with different hardening exponents, n1 and n2, two asymptotic solutions are obtained. One is the near crack tip asymptotic solution, which shows that the interfacial stress singularity near the crack tip is - l/(n+1),where n = max (n1, n2). The other one is obtained under the condition that one material is much harder than the other material, and can be considered as a rigid body.

Original languageEnglish (US)
Pages (from-to)183-194
Number of pages12
JournalJournal of the Mechanics and Physics of Solids
Issue number2
StatePublished - 1990

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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