期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 57, 期 3, 页码 405-421出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2008.12.002
关键词
Constitutive behavior; Viscoplasticity; Strain-gradient plasticity; Prinicipla of virtual power; Thermodynamics
We discuss the physical nature of flow rules for rate-independent (gradient) plasticity laid down by Aifantis and by Fleck and Hutchinson. As a central result we show that: the flow rule of Fleck and Hutchinson is incompatible with thermodynamics unless its nonlocal term is dropped. If the underlying theory is augmented by a general defect energy dependent on gamma(p) and del gamma(p), then compatibility with thermodynamics requires that its flow rule reduce to that of Aifantis. We establish this result (and others) within a general framework obtained by combining a virtual-power principle of Fleck and Hutchinson with the first two laws Of thermodynamics-balance of energy and the Clausius-Duhern inequality-under isothermal conditions. (C) 2008 Elsevier Ltd. All rights reserved.
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