On the Theory of Diffusion in Linear Viscoelastic Media
Taylor, Paul Allen
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https://hdl.handle.net/2142/68519
Description
Title
On the Theory of Diffusion in Linear Viscoelastic Media
Author(s)
Taylor, Paul Allen
Issue Date
1981
Department of Study
Theoretical and Applied Mechanics
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
Language
eng
Abstract
A recently developed viscoelastodiffusive theory is further examined in terms of its mathematical foundations and obvious generalizations. A derivation of the basic equations under quite general assumptions is provided and an equivalence between a "hereditary" version and a "differential operator" version of the theory is established. Both relaxation and creep types of viscoelastodiffusive behavior are considered. The concepts of chemical potential, fading memory, and a correspondence principle are discussed. The general development is concluded with an illustrative example.
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