Reciprocal and variational principles in linear thermoelasticity without energy dissipation

In the present paper we consider the equations which govern the behavior of an anisotropic and inhomogeneous centrosymmetric material within the framework of the linear theory of thermoelasticity without energy dissipation. We establish a reciprocal relation which is based on a characterization of the boundary–initial value problem in which the initial conditions are incorporated into the field equations. Further, a variational principle is presented too.