Abstract
An exact relationship is obtained for the rate of energy dissipation due to plastic work for a transition model of mode III crack propagation. It is found that the rate of energy dissipation increases monotonically as the transition in plastic zone shape changes from the infinitesimally-thin line segment of the Cherepanov plastic strip solution to the circular shape of the Hult and McClintock elastoplastic solution. Between these two limiting cases, the plastic zone assumes an elliptical shape. This analysis might serve as an analytical tool for the investigation of irreversible fracture processes.
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