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

Journal of Shanghai University（Natural Science Edition） ›› 2021, Vol. 27 ›› Issue (6): 1029-1037.doi: 10.12066/j.issn.1007-2861.2335

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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

Abstract

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

CLC Number:

O343.8

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.

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References 17

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Kronecker tensor product representation of flexoelectric coefficients for various symmetries

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