A unified potential-based cohesive model of mixed-mode fracture

Kyoungsoo Park, Glaucio H. Paulino, Jeffery R. Roesler

Research output: Contribution to journalArticlepeer-review

380 Scopus citations


A generalized potential-based constitutive model for mixed-mode cohesive fracture is presented in conjunction with physical parameters such as fracture energy, cohesive strength and shape of cohesive interactions. It characterizes different fracture energies in each fracture mode, and can be applied to various material failure behavior (e.g. quasi-brittle). The unified potential leads to both intrinsic (with initial slope indicators to control elastic behavior) and extrinsic cohesive zone models. Path dependence of work-of-separation is investigated with respect to proportional and non-proportional paths-this investigation demonstrates consistency of the cohesive constitutive model. The potential-based model is verified by simulating a mixed-mode bending test. The actual potential is named PPR (Park-Paulino-Roesler), after the first initials of the authors' last names.

Original languageEnglish (US)
Pages (from-to)891-908
Number of pages18
JournalJournal of the Mechanics and Physics of Solids
Issue number6
StatePublished - Jun 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


  • Cohesive fracture
  • Constitutive behavior
  • Energy release rate
  • Fracture
  • Fracture mechanism


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