On the coupled theory of thermo-piezoelectric/piezomagnetic materials with two temperatures

Abstract

In the present work, the theory of two-temperature thermoelasticity for a piezoelectric/piezomagnetic materials is formulated. An equation of energy balance is introduced and the uniqueness theorem is proved. An integral identity that involves two admissible processes at two different instants is introduced and the reciprocity theorem is proved without using Laplace transform. The variational principle of Gurtin type is established.