Description of finite deformation of solids in a reference configuration

Variational principles of equilibrium processes of deformation and heat conduction are formulated. The variational relations are written for the initial configuration of solids and can be used without restrictions on the strain. A system of equations for a coupled boundary-value problem for isotropic and anisotropic solids is presented, and initial and boundary conditions are formulated. Results of solving problems of finite deformation of initially cylindrical solids are given.