Problems of thermodiffusion of deformable solids

This is a brief survey of the problems and characteristic features of the thermodiffusion of solid deformable bodies. We show the subject in its historical development commencing from the fundamental Fourier's and Fick's ideas. We emphasize the importance of the works devoted to thermal diffusion (referring to fluids) and the development of the thermodiffusion of deformable solid bodies in the 60s first discussed by Ya. Pidstryhach and his colleagues and then by W. Nowacki and many others. We point out the early papers by C. Truesdell and other mathematicians who contributed to make the theory of thermodiffusion rigorous. Likewise, the papers in the general theory of coupled fields in elastic and inelastic solid bodies are cited.