Path dependence of truss-like mixed mode cohesive laws

Stergios Goutianos, Bent F. Sørensen

Research output: Contribution to journalJournal articleResearchpeer-review


A general theoretical analysis is presented to prove that, under mixed mode fracture, truss-like mixed mode cohesive laws (cohesive laws that are coupled in a special manner such that the traction vector follows the separation/opening vector) are path independent only in the limited case where the fracture resistance (and effective traction) is independent of the phase angle of openings. To verify the theoretical analysis, a specific class of truss-like cohesive laws, coupled with a failure criterion for damage initiation and an effective opening displacement is used. It is shown analytically and numerically that these cohesive laws are path dependent.
Original languageEnglish
JournalEngineering Fracture Mechanics
Pages (from-to)117-132
Publication statusPublished - 2012


  • Cohesive law
  • Cohesive element
  • Path dependence


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