| 各种对称性下挠曲电系数的 Kronecker 张量积表示 |
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| 引用本文： | 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. |
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| 作者姓名： | 吁鹏飞 彭黎明 冷伟丰 锁要红 |
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| 作者单位： | 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 |
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| 基金项目： | 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) |
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| 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.
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| 关 键 词： | 挠曲电 对称性 Kronecker 张量积 |
| 收稿时间： | 2020-12-31 |
Kronecker tensor product representation of flexoelectric coefficients for various symmetries |
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| 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),2021,27(6):1029-1037. |
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| Authors: | YU Pengfei PENG Limimg LENG Weifeng SUO Yaohong |
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| Institution: | 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 |
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| 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. |
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| Keywords: | flexoelectric symmetry Kronecker tensor product |
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