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Plasticity and non-simple materials

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Title: Plasticity and non-simple materials
Author(s): Acharya, Amit
Doctoral Committee Chair(s): Shawki, T. G.
Department / Program: Mechanical Science and Engineering
Discipline: Theoretical and Applied Mechanics
Degree Granting Institution: University of Illinois at Urbana-Champaign
Degree: Ph.D.
Genre: Dissertation
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
Type: Text
Language: English
URI: http://hdl.handle.net/2142/20508
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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