WIAS Preprint No. 792, (2002)

On thermodynamics of nonlinear poroelastic materials


  • Wilmanski, Krzysztof

2010 Mathematics Subject Classification

  • 74A15 74E30 74L05


  • Continuum thermodynamics, porous media, mixtures




The paper contains a brief presentation of a macroscopical thermodynamic model of poroelastic materials with many fluid components. A particular emphasis is placed on a Lagrangian formulation of the model and, consequently, on a consistent formulation of field equations on the reference configuration of the skeleton (solid phase of the mixture). It is demonstrated that the model possesses an identical structure as that in the pioneering work of C. A. Truesdell on the continuum mixture of fluids. An issue of porosity as an additional microstructural variable is particularly exposed.

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