Uniqueness Theorem for the Solutions of the Differential Equations of Incremental Thermoelectroelasticity

Nowacki in [1] presented a uniqueness theorem for the solutions of the initial boundary value problems in linear thermopiezoelectricity referred to a natural state, i.e., without initial fields. The equations of nonlinear thermoelectroelasticity were given in Tiersten [2]. Yang [3] then derived from [2] the equations for infinitesimal incremental fields superposed on finite biasing fields in a thermoelectroelastic body with no assumption on the biasing fields. Here we extend the aforementioned Nowacki’s uniqueness theorem to the incremental theory [3] without no restriction on the initial fields of deformation, electric potential, and temperature. We explicitly to the theory [3], hence we rewrite from this paper formulae and results of incremental thermoelectroelasticity by using just the same notations.