Abstract
A micromechanical constitutive model for a ferroelectric crystal of the perovskite type is developed. The model uses a crystal plasticity formulation in which transformation between crystal variants is treated in the same way as slip on a crystal slip system. The volume fractions of the crystal variants are used as variables which represent the state of the crystal. The dielectric hysteresis and “butterfly” hysteresis of a single crystal under low frequency cyclic electric fields are presented. Estimates of the response of a ferroelectric polycrystal to the same loading are calculated using a self-consistent mean-field homogenization scheme.
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