Model of dynamic deformation of a laminated thermoviscoelastic composite

The phenomenological averaging method is used to construct the model of a laminated homogeneous thermoviscoelastic composite. To construct this model, we consider only phase properties. The system of equations of composite dynamics is closed by the equation of state (elastic potential), in accordance with which we calculate the stress and temperature. The equations obtained satisfy the Onsager symmetry principle and are thermodynamically correct. In deriving the equations we do not use the assumptions on regularity of layers and constancy of relaxation time; therefore, the kinetic coefficients can depend on the state of the medium.