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On boundary conditions for a certain class of problems in mixture theory. (English) Zbl 0594.73007

Summary: An additional boundary condition is proposed for solid-fluid mixtures for the situation in which a mixture boundary is in a saturated state. This condition on the boundary is derived from a thermodynamic characterization of the state and takes the form of a relationship between the total stress tensor, the stretch tensor and the volume fraction of the solid. This additional condition is sufficient to make several boundary value problems involving mixtures, determinate.

MSC:

74A99 Generalities, axiomatics, foundations of continuum mechanics of solids
76R99 Diffusion and convection
74A20 Theory of constitutive functions in solid mechanics
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