abstract. this paper is concerned with the diffusion of a fluid through a viscoelastic
solid undergoing large deformations. using ideas from the classical theory of mixtures and a
thermodynamic framework based on the notion of maximization of the rate of entropy production, the constitutive relations for a mixture of a viscoelastic solid and a fluid (specifically
newtonian fluid) are derived. by prescribing forms for the specific helmholtz potential and
the rate of dissipation, we derive the relations for the partial stress in the solid, the partial
stress in the fluid, the interaction force between the solid and the fluid, and the evolution
equation of the natural configuration of the solid. we also use the assumption that the
volume of the mixture is equal to the sum of the volumes of the two constituents in their
natural state as a constraint. results from the developed model are shown to be in good
agreement with the experimental data for the diffusion of various solvents through high
temperature polyimides that are used in the aircraft industry. the swelling of a viscoelastic
solid under the application of an external force is also studied.