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Lesar, R.
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article
Discrete dislocation simulations of the development of a continuum plastic zone ahead of a stationary Mode III crack
Abstract
We present results from discrete dislocation simulations showing the development of the plastic zone in front of a Mode III crack under constant load. We find that the equilibrated zone is circular, in agreement with continuum mechanics predictions of the elastic-perfectly plastic Mode III crack. The size of the equilibrated zone scales as the square of the applied load (K<sub>III</sub>), also in agreement with the continuum results. The zone approaches saturation exponentially, with a time that scales as K<sub>III</sub><sup>2</sup>/σ<sub>p</sub><sup>3</sup>, where σ<sub>p</sub> is the Peierls stress. These results delineate conditions under which the classical, continuum predictions of elastic-plastic fracture mechanics are applicable.