Thermodynamics of inhomogeneous ferroelectrics

In a previous paper within the framework of the theory of inhomogeneities, the balance law of the so-called pseudomomentum for ferroelectrics was worked out exploiting the presence of material forces. Electric polarization density per unit mass and its gradient were introduced as state variables in the state vector. In this paper, starting from the pseudomomentum balance equation, we construct, in a systematic way, the material energy balance law for ferroelectrics which plays a crucial role in applications related to the study of fracture.