Author(s)

A. Acharya & T.G. Shawki

Abstract

A gradient-dependent and t her mo dynamically consistent model of plasticity A. Acharya, T.G. Shawki Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, 104) S. Wright Street, Urbana, Illinois 61801, USA ABSTRACT A frame-indifferent thermodynamic model of second-deformation-gradient plasticity has recently been introduced in Acharya and Shawki [1]. The model introduces a material length scale into the rate independent consti- tutive response. In this paper, the rate independent, elastoplastic special- ization of the general case is summarized. A model problem at finite strains is solved to illustrate the natural prediction of inhomogeneous flow from a homogeneous state as opposed to the notion of a bifurcation indicating inho- mogeneity, which is the primary viewpoint in motivating localization in the conventional theory. The prediction of localized bands with non-vanishing width due to the gradient hardening mechanism is also moti

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