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|Title:||Plasticity and non-simple materials|
|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|
|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.
|Rights Information:||Copyright 1994 Acharya, Amit|
|Date Available in IDEALS:||2011-05-07|
|Identifier in Online Catalog:||AAI9512274|
This item appears in the following Collection(s)
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois
Dissertations and Theses - Mechanical Science and Engineering