On microstretch thermoviscoelastic composite materials

In this paper we derive a continuum theory for a thermoviscoelastic composite using an entropy production inequality proposed by Green and Laws, presented in Lagrangian description. The composite is modeled as a mixture of a microstretch viscoelastic material of Kelvin–Voigt type and a microstretch elastic solid. The strain measures and the basic laws are shown and the thermodynamic restrictions are established. Then the linear theory is considered and the constitutive equations are given in both anisotropic and isotropic cases. Finally, a uniqueness result is established within the framework of the linear theory.