The Slow March towards an Analytical Mechanics of Dissipative Materials

Abstract

The concern of this work is the derivation of material balance laws for the Green-Naghdi (G-N) theory of dissipationless thermoelasticity. The lack of dissipation allows for a physically meaningfal variational formulation which is used for the application of Noether’s theorem. The balance laws on the material manifold are derived and the extact conditions under which they hold are rigorously studied.