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Adiabatic shear banding and the micromechanics of plastic flow in metals

Accepted version
Peer-reviewed

Type

Article

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Authors

Gurrutxaga-Lerma, B 

Abstract

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.

Description

Keywords

Adiabatic shear banding, Micromechanics, Dislocations, Stability

Journal Title

International Journal of Solids and Structures

Conference Name

Journal ISSN

0020-7683
1879-2146

Volume Title

132-133

Publisher

Elsevier BV