ABSTRAC: The present paper deals with the review on the development of the theory of two-temperature thermoelasticity. The basic equations of two-temperature thermoelasticityin context of Lord and Shulman [6] theory and Green and Naghdi[15] theories of generalized thermoelasticity are reviewed. Relevant literature on two-temperature thermoelasticity is also reviewed.

A port-Hamiltonian formulation for general linear coupled thermoelasticity and the thermoelastic bending of thin structures is presented. The construction exploits intrinsic modularity systems to obtain a as an interconnection elastodynamics heat equations. derived model can be readily discretized by using mixed finite elements. discretization structure-preserving, since main features system ar...

The Thermodynamics of linear irreversible processes is presented from a unified viewpoint. This provides a new and synthetic approach to the linear mechanics of deformation of solids, which includes as particular cases the classical theory of Elasticity, Thermoelasticity and Viscoelasticity. The first two sections constitute an introduction to the general concepts and principles of linear Therm...