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THE UNIQUENESS AND RECIPROCITY THEOREMS FOR GENERALIZED THERMOVISCOELASTICITY FOR ANISOTROPIC MEDIA

A new model of the equations of generalized thermoviscoelasticity for anisotropic media is given. The formulation is applied to both generalizations, the Lord-Shulman theory with one relaxation time and the Green-Lindsay theory with two relaxation times, as well as to the coupled theory. Using Laplace-Carson transforms, a uniqueness theorem for this model is proved, the dynamic reciprocity theorem is derived, and some applications are given. The cases of isotropic thermoviscoelasticity (with or without the volume rheological properties), anisotropic thermoelasticity, and isotropic thermoelasticity can be obtained from the given general model for the coupled and generalized theories.