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Journal of Shanghai University >

2021 , Vol. 27 >Issue 6: 1029 - 1037

DOI: https://doi.org/10.12066/j.issn.1007-2861.2335

Research Articles

Kronecker tensor product representation of flexoelectric coefficients for various symmetries

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  • 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 date: 2020-12-31

  Online published: 2021-09-24

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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.

Key words： flexoelectric; symmetry; Kronecker tensor product

Cite this article

YU Pengfei, PENG Limimg, LENG Weifeng, SUO Yaohong . Kronecker tensor product representation of flexoelectric coefficients for various symmetries[J]. Journal of Shanghai University, 2021 , 27(6) : 1029 -1037 . DOI: 10.12066/j.issn.1007-2861.2335

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