A Thermodynamic Theory of Thermoelastic and Viscoanelastic Solids with Non-Euclidean Structure

In this paper we analyze elastic and anelastic deformations of a continuous system with non-Euclidean structure. The focus of this study is the intrinsic material metric, g(alpha beta) for the measurement of distances between material particles in the reference configuration. The main results of the theory of deformation are reformulated taking into account the non-Euclidean structure. The consequences of the second law of thermodynamics have been investigated both for thermoelastic and viscoanelastic solids.