A thermodynamically consistent theory of stress-gradient plasticity. (February 2021)

• Record Type: Journal Article
• Authors: Reddy, B.D.; Steinmann, P.; Kergaßner, A.
• Is Part Of: Journal of the mechanics and physics of solids. Volume 147(2021)
• Publication Date: 2021-02
• Subjects: Mechanics, Applied -- Periodicals; Solids -- Periodicals; Mechanics -- Periodicals; Mécanique appliquée -- Périodiques; Solides -- Périodiques; Mechanics, Applied; Solids; Periodicals; 531.05
• DOI: 10.1016/j.jmps.2020.104266
• Languages: English
• ISSNs: 0022-5096

Abstract

Abstract: As an extension to strain-gradient models of size-dependent plastic behaviour, this work proposes a model for a stress-gradient theory. The model is distinguished from earlier works on the topic by its being embedded in a thermodynamically consistent framework. The development is carried out in the context of single-crystal plasticity, and draws on thermodynamically consistent models for single-crystal conventional and strain-gradient plasticity. The model is explored numerically using the example of torsion of a thin wire comprising a face centred cubic crystal, and its behaviour compared with that based on a recent disequilibrium density model of size-dependent plasticity.