A body with a dipolar structure is considered. For the points of such a body are taken into account the microtemperatures and the microrotational effects are neglected. The presence of microtemperatures due to the intimate structure of the environment, who joins to the classical temperature and displacements, does not essentially affect the existence of a gen- eralized solution, nor its uniqueness. In this context, we can generalize a Dafermos type result for a dynamical theory of an inhomogeneous and anisotropic body.