Second deformat ion gradient dependent constitutive postulates for plastic materials are introduced. The Clausius-Duhem Inequality and the Principle of Material Frame Indifference are used to deduce restrictions on the constitutive asssumptions. These general considerations are utilized to lay down the constitutive assumption of a special class of plastic solids, namely elasto-plastic solids. Interesting features of this special case, such as a material length scale in the constitutive description of elasto-plastic solids and a possible explanation of the Taylor-Quinney effect in rate independent thermoplasticity, are illustrated. It is expected that the introduction of a higher gradient of deformation, as opposed to those of internal variables, will ease the experimental determination of specific constitutive statements.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
TAM R 731
1993-6029
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112421
Copyright and License Information
Copyright 1993 Board of Trustees of the University of Illinois
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.
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