The General Theory of Polarization of Ferroelectric Materials

Abstract

In the frame of a quasi-static process, was built the general theory of polarization and deformation of polycrystalline ferroelectric materials , subject to the simultaneous action of an electric field and mechanical stresses. Constitutive relations were obtained for induced and residual increments of polarizing vector and strain tensor. Distinctive features of present theory from the previous theory are the introduction of the energy criterion of switching domains, the study of anisotropy of the partially polarized representative volume, the introduction of the functional dependence of physical characteristics on the residual polarization and deformation . The proposed model is founded for the three-dimensional case.