Abstract
Generalizing the idea of the deformable elastic shell model by Dick and Overhauser [1], a continuum model for thermoelastic diatomic elastic solids is presented. The model used is based on the assumption that a diatomic solid may be considered to consist of two simple and initially overlapping elastic media interacting with each other. Based on this assumption, the kinematics, balance laws and the appropriate constitutive relations for heat conducting diatomic elastic solids with multiple temperature are presented. For the illustration of the theory, the propagation of time-harmonic thermal waves in elastically rigid heat-conducting diatomic solids is studied and some particular cases are discussed.
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