In this monograph the authors used the thermo-mechanical approach to focus on processes of reversible and irreversible equilibrium deformation of isotropic and anisotropic solids. The presented models can be generalized for the case of finite deformations in the construction of images in spaces of nonholonomic measures. Formulation of associated boundary value problems of solid mechanics in variational form, the issues of non-uniqueness and stability of finite deformation processes are also discussed.