功能梯度磁电弹材料层状结构中Love波的传播分析
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摘要
研究了带有初应力的功能梯度磁电弹半空间上含有带有初应力的磁电弹覆盖层结构中Love波的传播特性.基于基底和覆盖层均带有初应力的功能梯度磁电弹覆盖层介质中Love波的波速方程,考察基底和覆盖层不同的初应力和不同的电磁学边界及界面条件对Love波波速的影响,从而分析了基底和覆盖层都带有初应力的功能梯度磁电弹层状结构中Love波的传播特性.
The propagation behavior of Love wave in an initially stressed magneto-electroelastic layer over an initially stressed and functionally graded magneto-electro-elastic halfspace is investigated. Based on the velocity equations of Love waves in an initially stressed magneto-electro-elastic layer over an initially stressed and functionally graded magnetoelectro-elastic half-space, the wave speeds of Love wave at different initial stresses and different magnetically or electrically surface boundary are computed and the results are shown graphically. The influence of the initial stress and magnetically/electrically surface boundary are discussed based on the numerical results. The propagation behavior of Love wave in an initially stressed magneto-electro-elastic layer over an initially stressed and functionally graded magneto-electro-elastic half-space is analysed.
The propagation behavior of Love wave in an initially stressed magneto-electroelastic layer over an initially stressed and functionally graded magneto-electro-elastic halfspace is investigated. Based on the velocity equations of Love waves in an initially stressed magneto-electro-elastic layer over an initially stressed and functionally graded magnetoelectro-elastic half-space, the wave speeds of Love wave at different initial stresses and different magnetically or electrically surface boundary are computed and the results are shown graphically. The influence of the initial stress and magnetically/electrically surface boundary are discussed based on the numerical results. The propagation behavior of Love wave in an initially stressed magneto-electro-elastic layer over an initially stressed and functionally graded magneto-electro-elastic half-space is analysed.
引文
[1] Lefebvre J E, Zhang V, Gazalet J, Gryba T. Acoustic wave propagation in continuous functionally graded plates:an extension of the legendre polynomial approach[J]. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 2001, 48(5):855-858.
[2] Elmaimouni L, Lefebvre J E, Gryba T, Zhang V. Polynomial method applied to acoustic waves in inhomogeneous cylinder[J]. IEEE Symposium on Ultrasonics, 2003, 2:1400-1403.
[3] Lefebvre J E, Zhang V, Sadaune V, Gryba T, Ouaftouh M. Acoustic wave propagation in continuous functionally graded plates[J]. IEEE Symposium on Ultrasonics, 1999, 1:855-858.
[4] Li Li, P J, Wei H M, Zhang Y H. Zhou, Love waves on a half-space with a gradient piezoelectric layer by the geometric integration method[J]. Mechanics of advanced materials and structures, 2018,25:847-854.
[5]王春艳,李立,初应力下功能梯度磁电弹材料的Love波传播.数学的实践与认识,2016, 21:200-206.
[6] Liu J X, Fang D N, Wei W Y, Zhao X F. Love waves in layered piezoelectric piezomagnetic structures[J]. Journal of Sound and Vibration, 2008, 315:146-156.
[2] Elmaimouni L, Lefebvre J E, Gryba T, Zhang V. Polynomial method applied to acoustic waves in inhomogeneous cylinder[J]. IEEE Symposium on Ultrasonics, 2003, 2:1400-1403.
[3] Lefebvre J E, Zhang V, Sadaune V, Gryba T, Ouaftouh M. Acoustic wave propagation in continuous functionally graded plates[J]. IEEE Symposium on Ultrasonics, 1999, 1:855-858.
[4] Li Li, P J, Wei H M, Zhang Y H. Zhou, Love waves on a half-space with a gradient piezoelectric layer by the geometric integration method[J]. Mechanics of advanced materials and structures, 2018,25:847-854.
[5]王春艳,李立,初应力下功能梯度磁电弹材料的Love波传播.数学的实践与认识,2016, 21:200-206.
[6] Liu J X, Fang D N, Wei W Y, Zhao X F. Love waves in layered piezoelectric piezomagnetic structures[J]. Journal of Sound and Vibration, 2008, 315:146-156.