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 is considered. The concepts of chemical potential, fading memory, and a correspondence principle are discussed. The general development is concluded with an illustrative example. © 1982 Springer-Verlag.