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非均匀磁电弹性半空间中的复瑞利波

Complex Rayleigh Waves in Nonhomogeneous Magneto-Electro-Elastic Half-Spaces.

作者信息

Li Ke, Jing Shuangxi, Yu Jiangong, Zhang Bo

机构信息

School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454003, China.

出版信息

Materials (Basel). 2021 Feb 21;14(4):1011. doi: 10.3390/ma14041011.

DOI:10.3390/ma14041011
PMID:33669909
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7924638/
Abstract

The complex Rayleigh waves play an important role in the energy conversion efficiency of magneto-electro-elastic devices, so it is necessary to explore the wave propagation characteristics for the better applications in engineering. This paper modifies the Laguerre orthogonal polynomial to investigate the complex Rayleigh waves propagating in nonhomogeneous magneto-electro-elastic half-spaces. The improved method simplifies the calculation process by incorporating boundary conditions into the constitutive relations, shortens the solving time by transforming the solution of wave equation to an eigenvalue problem, and obtains all wave modes, including real and imaginary and complex wavenumbers. The three-dimensional curves of full frequency spectrum and phase velocities are presented for the better description of the conversion from complex Rayleigh wave modes to real wave ones; besides, the displacement distributions, electric and magnetic potential curves are obtained in thickness and propagation directions, respectively. Numerical results are analyzed and discussed elaborately in three cases: variation of nonhomogeneous coefficients, absence of magnetism, and absence of electricity. The results can be used to optimize and fabricate the acoustic surface wave devices of the nonhomogeneous magneto-electro-elastic materials.

摘要

复瑞利波在磁电弹性器件的能量转换效率中起着重要作用，因此有必要探究其波传播特性，以便在工程中更好地应用。本文对拉盖尔正交多项式进行修正，以研究在非均匀磁电弹性半空间中传播的复瑞利波。改进后的方法通过将边界条件纳入本构关系简化了计算过程，通过将波动方程的解转化为特征值问题缩短了求解时间，并获得了所有波模，包括实波数、虚波数和复波数。给出了全频谱和相速度的三维曲线，以便更好地描述从复瑞利波模到实波模的转换；此外，分别在厚度方向和传播方向上获得了位移分布、电势和磁势曲线。针对非均匀系数变化、无磁性和无电性三种情况对数值结果进行了详细分析和讨论。这些结果可用于优化和制造非均匀磁电弹性材料的声表面波器件。

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