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https://hdl.handle.net/2142/20508
Description
Title
Plasticity and non-simple materials
Author(s)
Acharya, Amit
Issue Date
1994
Doctoral Committee Chair(s)
Shawki, Tarek G.
Department of Study
Mechanical Science and Engineering
Discipline
Theoretical and Applied Mechanics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Applied Mechanics
Engineering, Mechanical
Language
eng
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.
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