A Meso-Electro-Mechanical Model for PMN-PT-BT Ceramics Behavior

Abstract

A three-dimensional, meso-electro-mechanical model has been formulated for description of PMN-PT-BT ceramics. Unlike the experimentally fit models and phenomenological models which are based on state variables and/or empirical relationships, this fully coupled, computational mesomechanics model for polycrystalline PMN-PT-BT ceramics is developed based on considerations of constitutive behavior of single crystals. Specifically, domain wall nucleation and evolution rate equations are proposed in this work to describe the nonlinear hysteresis behavior of these ceramics near the phase transition temperature with maximum permittivity. Comparisons of hysteresis loops under different temperature conditions between testing results and the present simulation show good agreement. Effects of compressive stresses on relationships of strain versus electric field are also discussed.

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