On the deformability of anisotropic viscoelastic bodies in the presence of thermodiffusion

We give the results of theoretical studies directed toward the development of model pictures of the strain process of anisotropic viscoelastic multicomponent solid solutions taking account of the processes of heat conduction and diffusion of matter. We write a complete system of equations of the model and boundary conditions. We analyze the stressed state in a viscoelastic cylinder in diffusion saturation. Translated fromMatematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 41, No. 1, 1998, pp. 78–89.