Diffusion and stresses: Basic thermodynamics

F. C. Larché, P. W. Voorhees

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

The simple model of an ideal chemo-elastic solid is used as an input for the thermodynamic theory of a multicomponent elastic solid. The equilibrium conditions are presented within the small strain approximation. It is shown how, with a gradient flow formulation, they lead to a theory for diffusion in the presence of stresses. The flux equation is examined in detail, with the simplifications due to the symmetries of the crystal. The diffusion equation is obtained for one-dimensional diffusion in the half-space. The limitations of this model are discussed.

Original languageEnglish (US)
Pages (from-to)31-36
Number of pages6
JournalDefect and Diffusion Forum
Volume129-130
DOIs
StatePublished - 1996

Keywords

  • Crystals
  • Diffusion
  • Equilibrium
  • Gradient flow
  • Solid solution
  • Stress
  • Thermodynamics

ASJC Scopus subject areas

  • Radiation
  • Materials Science(all)
  • Condensed Matter Physics

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