Interfacial crack-tip constraints and J-integral for bi-materials with plastic hardening mismatch

Hyungyil Lee, Yun-Jae Kim

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10 Citations (Scopus)


This paper investigates interfacial crack tip stress fields and the J-integral for bi-materials with plastic hardening mismatch via detailed elastic-plastic finite element analyses. For small scale yielding, the modified boundary layer formulation with the elastic T-stress is employed. For fully plastic yielding, plane strain single-edge- cracked specimens under pure bending are considered. Interfacial crack tip stress fields are explained by modified Prandtl slip-line fields. It is found that, for bi-materials consisting of two elastic-plastic materials, increasing plastic hardening mismatch increases both crack-tip stress constraint in the lower hardening material and the J-contribution there. The implication of asymmetric J-integral in bi-materials is also discussed.

Original languageEnglish
Pages (from-to)231-243
Number of pages13
JournalInternational Journal of Fracture
Issue number3
Publication statusPublished - 2007 Feb 1



  • Bi-material
  • Biaxiality
  • Constraint
  • FEM
  • Full specimen
  • J-integral
  • Modified boundary layer formulation
  • Plastic hardening mismatch
  • Slip-line field
  • T-stress

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials

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