Justification of the averaged Joule–Lenz law for composite materials

It has been found that the heat release in the homogenized composite model is described by Joule-Lenz law for the averaged current strength and voltage. It has been shown that the local electric field strength and the local electric current in a real composite are usually significantly different from those in the averaged model despite the fact that the electric field potentials in the averaged model and the real composite are close.