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

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Author

Summary, in English

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.

Department/s

Publishing year

2011

Language

English

Pages

1185-1203

Publication/Series

International Journal of Engineering Science

Volume

49

Issue

11

Document type

Journal article

Publisher

Elsevier

Topic

  • Mechanical Engineering

Keywords

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

Status

Published

ISBN/ISSN/Other

  • ISSN: 0020-7225