Mode III effects on interface delamination

Viggo Tvergaard, J.W. Hutchinson

Research output: Contribution to journalJournal articleResearchpeer-review


For crack growth along an interface between dissimilar materials the effect of combined modes I, II and III at the crack-tip is investigated. First, in order to highlight situations where crack growth is affected by a mode III contribution, examples of material configurations are discussed where mode III has an effect. Subsequently, the focus is on crack growth along an interface between an elastic-plastic solid and an elastic substrate. The analyses are carried out for conditions of small-scale yielding, with the fracture process at the interface represented by a cohesive zone model. Due to the mismatch of elastic properties across the interface the corresponding elastic solution has an oscillating stress singularity, and this solution is applied as boundary conditions on the outer edge of the region analyzed. For several combinations of modes I, II and III crack growth resistance curves are calculated numerically in order to determine the steady-state fracture toughness. For given values of K-I and K-II the minimum fracture toughness corresponds to K-III = 0 in most of the range analyzed, but there is a range where the minimum occurs for a nonzero value of K-III.
Original languageEnglish
JournalJournal of the Mechanics and Physics of Solids
Issue number1
Pages (from-to)215-229
Publication statusPublished - 2008


  • finite strains
  • mixed-mode fracture
  • cohesive zone
  • plasticity
  • crack growth


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