Derivation of Path Independent Coupled Mix Mode Cohesive Laws from Fracture Resistance Curves

Stergios Goutianos

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

A generalised approach is presented to derive coupled mixed mode cohesive laws described with physical parameters such as peak traction, critical opening, fracture energy and cohesive shape. The approach is based on deriving mix mode fracture resistance curves from an effective mix mode cohesive law at different mode mixities. From the fracture resistance curves, the normal and shear stresses of the cohesive laws can be obtained by differentiation. Since, the mixed mode cohesive laws are obtained from a fracture resistance curve (potential function), path independence is automatically satisfied. The effective mix mode cohesive law can have different shape and cohesive law parameters at different mode mixities so that the approach can be applied to various material failure models.
Original languageEnglish
JournalApplied Composite Materials
Volume24
Issue number4
Pages (from-to)983-997
ISSN0929-189X
DOIs
Publication statusPublished - 2016

Keywords

  • Ceramics and Composites
  • Bridging laws
  • Cohesive laws
  • J Integral
  • Mixed mode
  • Potential function
  • Fracture toughness
  • Shear stress
  • Bridging law
  • J integral
  • Fracture

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