Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 132, Issue -, Pages 153-170Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2017.09.025
Keywords
Adiabatic shear banding; Micromechanics; Dislocations; Stability
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This article studies the conditions that dislocation generation and motion must fulfil to promote the development of adiabatic shear bands in crystalline metals. First, we derive a stability criterion for the formation of shear bands, by linearising the conservation equations of thermo-plasticity. We then apply this criterion on the micromechanics-based Orowan equation for plastic flow, introducing a number of increasingly sophisticated constitutive assumptions on the model. It is found that there are two crucial promoters of shear band formation: the unfettered generation of dislocations that may be found in stage I plasticity; and the softening of the elastic constants with increasing temperature. In turn, we show that limiting the speed of dislocations tends to inhibit the formation of dislocations, even when the temperature dependence of the dislocation's drag is accounted for. This leads to the existence of an upper temperature limit above which shear band formation appears unlikely. (C) 2017 Elsevier Ltd. All rights reserved.
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