In this paper, a new theory of generalized thermoelasticity has been constructed by taking into account the theory of heat conduction in deformable bodies, which depends on two distinct temperatures, the conductive temperature and the thermodynamic temperature, where the difference between these two temperatures is proportional to the heat supply. The uniqueness theorem is obtained for equations of two-temperature-generalized linear thermoelasticity for a homogeneous and isotropic body.
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Hamdy M. Youssef (2005) studied this question.
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