An interaction integral method for computing mixed mode stress intensity factors for curved bimaterial interface cracks in non-uniform temperature fields

Janine Johnson, Jianmin Qu

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

In finite element analysis the interaction integral has been a useful tool for computing the stress intensity factors for fracture analysis. This work extends the interaction integral to account for non-uniform temperatures in the calculation of stress intensity factors for three dimensional curvilinear cracks either in a homogeneous body or on a bimaterial interface. First, the derivation of the computational algorithm, which includes the additional terms developed by the non-zero gradient of the temperature field, is presented in detail. The algorithm is then implemented in conjunction with commercial finite element software to calculate the stress intensity factors of a crack undergoing non-uniform temperatures on both a homogeneous and a bimaterial interface. The numerical results displayed path independence and showed excellent agreement with available analytical solutions.

Original languageEnglish
Pages (from-to)2282-2291
Number of pages10
JournalEngineering Fracture Mechanics
Volume74
Issue number14
DOIs
StatePublished - Sep 2007

Keywords

  • Finite element analysis
  • Interaction integral
  • Interface fracture
  • Stress intensity factor
  • Thermal stress

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