On the theory of diffusion in linear viscoelastic media

  • Taylor P
  • Aifantis E
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Abstract

Summary 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.

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