Abstract
Abstract A domain of influence theorem, work and energy theorem, and reciprocity theorem are proved for a linear anisotropic nonhomogeneous temperature-rate-dependent thermoelastic unbounded body. The theorems cover the case where the constitutive fields may attain unbounded values at infinity, and they are based on a hypothesis from which it follows that a thermoelastic disturbance produced by an external ther-momechanical load of a bounded support cannot invade the whole body in a finite time
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