Mixture theory for a thermoelasto-plastic porous solid considering fluid flow and internal mass exchange

M. Ristinmaa, N.S. Ottosen, Björn Johannesson

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

A thermoelastic-plastic body consisting of two phases, a solid and a fluid, each comprising two constituents is considered where one constituent in one phase is allowed to exchange mass with another constituent (of the same substance) in the other phase. A large strain setting is adopted and the formulation applies to general anisotropy and the existence of residual stresses. Generalized forms of Fourier's, Fick's and Darcy's laws are derived and also the stresses on the constituent, phase and mixture level are established; in addition, the evolution law for general plasticity is given. Finally, and in particular, a general evolution law for the rate of deformation tensor related to mass exchange is proposed and this leads to general absorption and desorption evolution laws for mass exchange between two constituents (of the same substance), one belonging to the solid phase and the other to the fluid phase. Equilibrium curves for absorption and desorption also emerge from the theory.
Original languageEnglish
JournalInternational Journal of Engineering Science
Volume49
Issue number11
Pages (from-to)1185-1203
ISSN0020-7225
DOIs
Publication statusPublished - 2011

Keywords

  • Growth/swelling
  • Porous material
  • Mixture theory
  • Mass exchange
  • Large strain

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