Development of Piezo-Electroelastic Finite Element Procedure Based on Crystallographic Homogenization Method.
Development of Piezo-Electroelastic Finite Element Procedure Based on Crystallographic Homogenization Method.
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基于晶体均匀化方法的压电弹性有限元程序的开发。
DOI：
10.1299/kikaia.69.501
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
E. Nakamachi
中科院分区：
文献类型：
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作者：
Y. Uetsuji;Yukihiro Nakamura;S. Ueda;E. Nakamachi
大多数压电陶瓷都具有钙钛矿结构，在微观尺度上表现为非对称晶格结构，在宏观尺度上表现为强烈的各向异性。因此，多晶陶瓷的宏观力学性能和功能性能受到微观非均匀晶体结构的强烈影响。在这项工作中，发展了基于晶体均一化方法的多尺度有限元模拟程序，以估计考虑晶体取向分布的宏观性质。首先，研究了微观模型中有限元的大小和个数对宏观性质的影响。其次，利用任意微观晶体取向分布预测了宏观介电常数、压电常数和弹性常数。最后，通过与常规自洽模型计算结果的比较，验证了该有限元程序的有效性。
The most of piezoelectric ceramics have perovskite crystal structure, which can be characterized as a non-symmetry crystal lattice structure in a microscopic scale and a strong anisotropy in a macroscopic scale. Therefore, the macroscopic mechanical and functional properties of poly-crystalline ceramics are strongly affected by the microscopic non-homogeneous crystal structure. In this work, multi-scale finite element modeling procedure based on crystallographic homogenization method has been developed to estimate macroscopic properties considering distributions of crystal orientations. At first, the size and number effects of finite element in microscopic model on the macroscopic properties have been investigated. Next, the macroscopic dielectric, piezoelectric and elastic constants have been predicted by employing arbitrary microscopic crystal orientation distributions. Finally, the availability of our finite element procedure has been confirmed through comparison with result of the conventional self-consistent model.