CUED Publications database

Strain gradient plasticity under non-proportional loading

Fleck, NA and Hutchinson, JW and Willis, JR (2014) Strain gradient plasticity under non-proportional loading. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470. ISSN 1364-5021

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Abstract

© 2014 The Author(s) Published by the Royal Society. All rights reserved. A critical examination is made of two classes of strain gradient plasticity theories currently available for studying micrometre-scale plasticity. One class is characterized by certain stress quantities expressed in terms of increments of strains and their gradients, whereas the other class employs incremental relationships between all stress quantities and the increments of strains and their gradients. The specific versions of the theories examined coincide for proportional straining. Implications stemming from the differences in formulation of the two classes of theories are explored for two basic examples having non-proportional loading: (i) a layer deformed into the plastic range by tensile stretch with no constraint on plastic flow at the surfaces followed by further stretch with plastic flow constrained at the surfaces and (ii) a layer deformed into the plastic range by tensile stretch followed by bending. The marked difference in predictions by the two theories suggests that critical experiments will be able to distinguish between them.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div C > Materials Engineering
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:16
Last Modified: 07 Sep 2017 01:46
DOI: