結晶均質化法に基づいたマルチスケール有限要素解析による圧電セラミックスの結晶方位最適化法の提案

概要

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Polycrystalline piezoelectric materials have a large possibility to exhibit higher performance in a macroscopic scale by design of crystal morphology in a microscopic scale. In this paper, a multiscale finite element method by using crystallographic homogenization method has been applied to a typical piezoelectric ceramics, barium titanate (BaTiO_3) in order to estimate macroscopic properties considering microscopic crystal morphology. Then, microscopic crystal orientation distribution has been optimized by steepest decent method to maximize macroscopic piezoelectric strain constant d_<333>. Computational results indicated that BaTiO_3 polycrystal consisting of three layers with different crystal orientations has the highest piezoelectric performance d_<333>=258 pC/N, that is beyond single crystal because of mechanical effect in microscopic inhomogeneous structure.
2006-09-25