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University of Illinois at Urbana-Champaign
On the Theory of Diffusion in Linear Viscoelastic Media
Abstract
dc:descriptionA 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.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Theoretical and Applied Mechanics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Taylor, Paul Allen
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8127713
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/68519