Using M-integral for multi-cracked problems subjected to nonconservative and nonuniform crack surface tractions

J. H. Chang, W. H. Wu

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

In this paper, an energy parameter based on the concept of the M-integral is proposed for describing the fracture behavior of a multi-cracked solid subjected to nonconservative and nonuniform crack surface tractions. By using the M-integral with a suitably chosen closed contour, one can evaluate the 'surface creation energy' (SCE) required for creation of the stressed cracks. Also, it is demonstrated that the property of path-independence holds even under the action of crack surface tractions. Therefore, the singular stress field in the near-tip areas is not directly involved in the calculation so that a complicated finite element model around the crack tips is not required in evaluation of the M-integral.

Original languageEnglish
Pages (from-to)2605-2613
Number of pages9
JournalInternational Journal of Solids and Structures
Volume48
Issue number19
DOIs
StatePublished - 15 Sep 2011

Keywords

  • Crack surface tractions
  • M-integral
  • Multiple cracks
  • Path-independence
  • Surface creation energy

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