A dipolar structure in the heat-flux dependent thermoelasticity

Abstract

Our study is concerned with the mixed initial-boundary value problem for a dipolar body in the context of a heat-flux dependent theory for the dipolar thermoelastic bodies. We take into account a set of independent constitutive variables including the heat flux vector. Also, the set of basic equations which govern the behavior of such a body is completed by including an equation of evolution for the components of this vector. The uniqueness result, regarding the solution of the mixed problem, which concludes our study assures the consistency of the constructed theory.