A line plastic-zone model for steady mode III crack growth in an elastic-plastic material

L. B. Freund, Leslie B. Sills

Research output: Contribution to journalArticlepeer-review

Abstract

Steady-state quasi-static growth of a crack in the anti-plane shear mode through an elastic-plastic material is analyzed. The material is non-hardening and small-scale yielding conditions are assumed. The essential feature of the model is that the active plastic-zone is assumed to be a pair of discrete lines emanating from the crack tip out of the crack plane on which a suitable yield condition is satisfied. An exact solution is obtained for the plastic strain left in the wake of this active line plastic-zone. The extent of the plastic zone from the tip is determined to be 0.071 ( k τ0)2 where k and τ0 are the remote elastic stress intensity factor and the shear flow stress, respectively, and it is found that 36% of the elastic energy flowing into the crack-tip region during growth is dissipated through plastic work and 64% is trapped as residual elastic energy in the plastic-zone wake.

Original languageEnglish
Pages (from-to)49-57
Number of pages9
JournalJournal of the Mechanics and Physics of Solids
Volume28
Issue number1
DOIs
StatePublished - Feb 1980
Externally publishedYes

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