圧電材料のヒステリシスを表す一次元スイッチングモデル

概要

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A simple yet accurate constitutive model for piezoelectric materials is proposed. The model is derived under the following two assumptions. (i) Infinitesimal crystals in a piezoelectric material are considered, and the order of the energy required for the switching in a crystal is unchanged independently of the switching directions. (ii) The required switching energy is given in the form of a sum of two exponential functions of phase volume fraction. Comparison of electro-mechanical deformation behaviors between the calculation and the existing PLZT data verifies that this model can duplicate the hysteresis loops of the deformation behaviors among the stress, strain, electric field, and electric displacement. This indicates that the present model can provide a good tool to understand the mechanism of the deformation behavior of the piezoelectric materials and to design smart structures containing the piezoelectric elements.
2009-01-25