The mixed-mode analysis of a functionally graded orthotropic half-plane weakened by multiple curved cracks

M. M. Monfared, M. Ayatollahi*, Mahmoud Mousavi

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

11 Citations (Scopus)

Abstract

The problem of functionally graded orthotropic half-plane with climb and glide edge dislocations is solved. Dislocations are used as the building blocks of defects to model cracks of modes I and II. Following a dislocation-based approach, the problem is reduced to a system of singular integral equations for dislocation density functions on the surfaces of smooth cracks. These integral equations enforce the crack-face boundary conditions and are solved numerically for the dislocation density. The numerical results include the stress intensity factors for several different cases of crack configurations and arrangements.

Original languageEnglish
Pages (from-to)713-728
Number of pages16
JournalARCHIVE OF APPLIED MECHANICS
Volume86
Issue number4
DOIs
Publication statusPublished - 1 Apr 2016
MoE publication typeA1 Journal article-refereed

Keywords

  • Functionally graded orthotropic materials
  • In-plane
  • Multiple cracks
  • Singular integral equations
  • Stress intensity factors

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