On the Constitutive Relations for Second Sound in Thermo-Electroelasticity

TL;DR

This paper derives thermodynamic restrictions on constitutive relations for a thermo-electroelastic continuum, including an evolution equation for heat flux based on a frame-invariant form of Cattaneo's equation.

Contribution

It extends previous work by deriving thermodynamic restrictions for electrically polarizable, deformable heat conducting elastic materials with electric field interactions.

Findings

Derived thermodynamic restrictions for constitutive relations.

Formulated a frame-invariant Cattaneo's equation for heat flux.

Extended previous models to include electric field effects.

Abstract

Extending previous papers of Coleman-Fabrizio-Owen [1], [2] and Oncu-Moodie [3], we give a derivation of the thermodynamic restrictions on the constitutive relations of an electrically polarizable and finitely deformable heat conducting elastic continuum, interacting with the electric field. The constitutive equations include an evolution equation for the heat flux; the latter and the temperature obey a frame-invariant form of Cattaneo's equation.