Thermomechanics of saturated porous solids in finite deformation. (English) Zbl 0674.73005

Coussy, O.

Eur. J. Mech., A 8, No. 1, 1-14 (1989).

A general theory of thermodynamics of saturated porous solids in the case of finite deformation is presented. In developing his theory, the author avoids any additional hypothesis except that of the relevancy of description of the porous media as open (having no enclosing or confining barrier) thermodynamic continua. Stating the momentum equation and a corresponding kinetic theorem apart from the thermodynamic principles, the author is avoiding the limitation of M. A. Biot’s theory [Int. J. Solids Structures 13, 579-597 (1977; Zbl 0361.73007)]. The general equations derived from the thermodynamic principles of an open system constituted by porous media are stated, and the corresponding constitutive equations of the thermoporoelastic behaviour are given as an example.
To give an idea of this paper we give here its contents. 1. Introduction. 2. Mass conservation, momentum equation, kinetic energy theorem. 3. Thermodynamics of saturated porous solids. 4. Thermoporoelasticity. 5. Conclusions. An appendix contains the calculation of the time derivative of kinetic energy.
The paper is of great interest for those working in the field of thermodynamics and especially in fluid dynamics.

Reviewer: Gh.Gr.Ciobanu

MSC:

74A15	Thermodynamics in solid mechanics
74B20	Nonlinear elasticity
76S05	Flows in porous media; filtration; seepage
74A20	Theory of constitutive functions in solid mechanics

Keywords:

relevancy of description of porous medium as open thermodynamic continuum; thermoporoelastic behaviour