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Title:Plasticity and non-simple materials
Author(s):Acharya, Amit
Doctoral Committee Chair(s):Shawki, Tarek G.
Department / Program:Mechanical Science and Engineering
Discipline:Theoretical and Applied Mechanics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Applied Mechanics
Engineering, Mechanical
Abstract:The connection between non-simple materials and plasticity is explored. The thermodynamic relations of conventional rate-independent plasticity and various classes of second-deformation-gradient plasticity are derived within the context of a theory with internal variables using the "Coleman-Noll" procedure. Models of conventional and gradient-dependent, rate-independent thermo-plasticity are developed based on the foregoing thermodynamic relations. In contrast with generalized elasticity, it is shown that plasticity with internal variables is capable of exhibiting noll-simple constitutive response in the absence of higher-order stresses.
This thesis also examines localization in dynamic shearing motions of a class of incompressible, gradient-dependent plastic solids. A linear stability analysis coupled with a numerical study of the nonlinear problem indicates interesting new features, in the class of motions considered, due to the gradient modification.
Issue Date:1994
Rights Information:Copyright 1994 Acharya, Amit
Date Available in IDEALS:2011-05-07
Identifier in Online Catalog:AAI9512274
OCLC Identifier:(UMI)AAI9512274

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