The variationally principle of two-temperature thermoelasticity in the absence of the energy dissipation theorem

Abstract Youssef introduced two-temperature thermoelasticity without energy dissipation theorem. This theorem depends upon two distinct temperatures: the conductive temperature and the thermo-dynamical temperature. Through this work, the variational principle theorem will be obtained for an isotropic, homogeneous, and thermoelastic body in the context of two-temperature thermoelasticity without energy dissipation theorem.