DIFFUSION IN MIXTURES OF ELASTIC MATERIALS

A thermomechanical theory of a diffusing mixture of elastic materials is presented. The kinematics of motion and the equations of balance for a mixture of n bodies are discussed. It is shown that the concept of a partial stress and a partial heat flux can be retained in a general theory of mixtures. An entropy inequality is proposed and used to restrict the constitutive equations for a mixture of elastic materials subject to diffusion and heat conduction. The constitutive equations are further required to satisfy the axiom of material frame-indifference and to reflect material symmetry of a mixture of isotropic solids. The results are linearized by assuming that the mixture undergoes small temperature changes, small deformations, and small departures from thermodynamic equilibrium. © 1969.