各种对称性下挠曲电系数的 Kronecker 张量积表示

doi:10.12066/j.issn.1007-2861.2335

上海大学学报(自然科学版) ›› 2021, Vol. 27 ›› Issue (6): 1029-1037.doi: 10.12066/j.issn.1007-2861.2335

各种对称性下挠曲电系数的 Kronecker 张量积表示

吁鹏飞¹^,²(), 彭黎明¹, 冷伟丰¹, 锁要红¹

1.福州大学机械工程及自动化学院, 福建福州 350108
2.西安交通大学航天学院, 机械结构强度与振动国家重点实验室, 陕西西安 710049

收稿日期:2020-12-31 出版日期:2021-12-31 发布日期:2022-01-06
通讯作者: 吁鹏飞 E-mail:yupengfei0422@fzu.edu.cn
作者简介:吁鹏飞 (1990—), 男, 博士, 研究方向为力电化多场耦合、守恒积分. E-mail: yupengfei0422@fzu.edu.cn
基金资助:
国家自然科学基金资助项目(11902076);福建省科技厅资助项目(2019J01634);西安交通大学机械结构强度与振动国家重点实验室开放基金(SV2018-KF-25)

Kronecker tensor product representation of flexoelectric coefficients for various symmetries

YU Pengfei¹^,²(), PENG Limimg¹, LENG Weifeng¹, SUO Yaohong¹

1. School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350108, Fujian, China
2. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, Shaanxi, China

Received:2020-12-31 Online:2021-12-31 Published:2022-01-06
Contact: YU Pengfei E-mail:yupengfei0422@fzu.edu.cn

摘要/Abstract

摘要：

Kronecker 张量积在描述材料系数的对称性方面具有重要作用. 通过首次构建符合挠曲电系数对称性的正交旋转张量 4 次 Kronecker 幂, 推导了 7 大晶系、32 类晶体点群及各向同性下挠曲电系数的矩阵结构表示, 这些结果包含了独立的挠曲电系数个数及其具体的分量形式. 通过与前人的工作对比, 验证了本文结果的正确性.

关键词: 挠曲电, 对称性, Kronecker 张量积

Abstract:

Kronecker tensor products play an important role in determining the symmetry of material coefficients. By constructing the orthogonal rotation tensor fourth-order Kronecker power, which conforms to the symmetry of the flexoelectric coefficient, for the first time, the matrix structure representation of the flexoelectric coefficient of seven crystal systems, 32 crystal point groups and isotropic is derived. These results confirm the number of independent flexoelectric coefficients and their specific component forms. The correctness of these results is verified by comparing with the findings of a previous work.

Key words: flexoelectric, symmetry, Kronecker tensor product

中图分类号:

O343.8

吁鹏飞, 彭黎明, 冷伟丰, 锁要红. 各种对称性下挠曲电系数的 Kronecker 张量积表示[J]. 上海大学学报(自然科学版), 2021, 27(6): 1029-1037.

YU Pengfei, PENG Limimg, LENG Weifeng, SUO Yaohong. Kronecker tensor product representation of flexoelectric coefficients for various symmetries[J]. Journal of Shanghai University（Natural Science Edition）, 2021, 27(6): 1029-1037.

图/表 1

参考文献 17

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各种对称性下挠曲电系数的 Kronecker 张量积表示

Kronecker tensor product representation of flexoelectric coefficients for various symmetries

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