{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/68519"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/68519","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"On the Theory of Diffusion in Linear Viscoelastic Media","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.","abstract_html":"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. 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