 
Summary: Mathematics and Mechanics of Solids (to appear)
Mathematical Modelling of a SolidLiquid
Mixture with Mass Exchange Between
Constituents
L. FUSI, A. FARINA
Universit`a degli Studi di Firenze,
Dipartimento di Matematica "U. Dini",
Viale Morgagni 67/A, 50134 Firenze, Italy
D. AMBROSI
Politecnico di Torino,
Dipartimento di Matematica,
Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Abstract
The mechanical behavior of a mixture composed by an elastic solid
and a fluid that exchange mass is investigated. Both the liquid flow and
the solid deformation depend on how the solid phase has increased (di
minished) its mass, i.e. on the mass conversion between constituents.
The model is developed introducing a decomposition of the solid phase
deformation gradient. In particular, exploiting the criterion of maximiza
tion of the rate of dissipation, we determine an explicit evolution equation
