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Title:On the Theory of Diffusion in Linear Viscoelastic Media
Author(s):Taylor, Paul Allen
Department / Program:Theoretical and Applied Mechanics
Discipline:Theoretical and Applied Mechanics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Applied Mechanics
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.
Issue Date:1981
Type:Text
Language:English
Description:86 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981.
URI:http://hdl.handle.net/2142/68519
Other Identifier(s):(UMI)AAI8127713
Date Available in IDEALS:2014-12-14
Date Deposited:1981


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