Elastic interactions of a fatigue crack with a micro‐defect by the mixed boundary integral equation method

Yuan Jie Lua*, Wing K Liu, Ted Belytschko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In this paper, the mixed boundary integral equation method is developed to study the elastic interactions of a fatigue crack and a micro‐defect such as a void, a rigid inclusion or a transformation inclusion. The method of pseudo‐tractions is employed to study the effect of a transformation inclusion. An enriched element which incorporates the mixed‐mode stress intensity factors is applied to characterize the singularity at a moving crack tip. In order to evaluate the accuracy of the numerical procedure, the analysis of a crack emanating from a circular hole in a finite plate is performed and the results are compared with the available numerical solution. The effects of various micro‐defects on the crack path and fatigue life are investigated. The results agree with the experimental observations.

Original languageEnglish (US)
Pages (from-to)2743-2759
Number of pages17
JournalInternational Journal for Numerical Methods in Engineering
Volume36
Issue number16
DOIs
StatePublished - Jan 1 1993

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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