An integral equation approach to the inclusion-crack interactions in three-dimensional infinite elastic domain

C. Y. Dong*, Y. K. Cheung, S. H. Lo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

In this paper, an integral equation method to the inclusion-crack interaction problem in three-dimensional elastic medium is presented. The method is implemented following the idea that displacement integral equation is used at the source points situated in the inclusions, whereas stress integral equation is applied to source points along crack surfaces. The displacement and stress integral equations only contain unknowns in displacement (in inclusions) and displacement discontinuity (along cracks). The hypersingular integrals appearing in stress integral equation are analytically transferred to line integrals (for plane cracks) which are at most weakly singular. Finite elements are adopted to discretize the inclusions into isoparametric quadratic 10-node tetrahedral or 20-node hexahedral elements and the crack surfaces are decomposed into discontinuous quadratic quadrilateral elements. Special crack tip elements are used to simulate the √r variation of displacements near the crack front. The stress intensity factors along the crack front are calculated. Numerical results are compared with other available methods.

Original languageEnglish
Pages (from-to)313-321
Number of pages9
JournalComputational Mechanics
Volume29
Issue number4-5
DOIs
Publication statusPublished - Oct 2002
Externally publishedYes

Keywords

  • Cracks
  • Inclusions
  • Integral equation method
  • Three dimensions

Fingerprint

Dive into the research topics of 'An integral equation approach to the inclusion-crack interactions in three-dimensional infinite elastic domain'. Together they form a unique fingerprint.

Cite this