含有两个覆盖层的功能梯度磁电弹半空间中表面波的波速方程
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摘要
研究了含有两个均匀弹性覆盖层的半无限大功能梯度磁电弹材料中的表面波.假设基底为材料性质沿厚度方向指数变化的磁电弹材料,两个覆盖层为不同的均匀弹性材料.通过考察表面及界面的条件,分别给出电磁学开路和短路时,含有两个弹性覆盖层的功能梯度磁电弹半空间中表面波的波速方程.
The velocity equations of surface waves in two homogeneous layers of finite thickness over a functionally graded magnetic-electric-elastic half-space are investigated. Characteristics of substrate are assumed to vary exponentially along the thickness direction. The two homogeneous layers are different homogeneous elastic materials. The velocity equations of surface waves are derived on the electrically and magnetically open circuit or short circuit boundary conditions.
The velocity equations of surface waves in two homogeneous layers of finite thickness over a functionally graded magnetic-electric-elastic half-space are investigated. Characteristics of substrate are assumed to vary exponentially along the thickness direction. The two homogeneous layers are different homogeneous elastic materials. The velocity equations of surface waves are derived on the electrically and magnetically open circuit or short circuit boundary conditions.
引文
[1]Li Li,Wei P J.The piezoelectric and piezomagnetic effect on the surface wave velocity of magnetoelectro-elastic solids[J].Journal of Sound and Vibration,2014,333(8):2312-2326.
[2]Li Li,Wei Peijun.The direction dependence of surface wave speed at the surface of magnetoelectro-elastic half-space[J].Acta Mechanica Solida Sinica,2015,28(1):102-110.
[3]Li Li,Yi Wen Wei,P J Wei.The piezoelectric and piezomagnetic effects on the surface wave speed[J].Applied Mechanics and Materials,2013,268(1):1619-1622.
[4]汤亮.功能梯度电磁弹性材料的表面波传播[J].上海大学学报,2010,16(6):643-648.
[5]Li L,Wei P J.Surface wave speed of functionally graded magneto-electro-elastic materials with initial stresses[J].Journal of Theoretical and Applied Mechanics,2014(44):49-64.
[6]Li L,Wei P J.Propagation of surface waves in a homogeneous layer of finite thickness over an initially stressed functionally graded magnetic-electric-elastic half-space[J].Journal of Theoretical and Applied Mechanics,2015,45:69-86.
[2]Li Li,Wei Peijun.The direction dependence of surface wave speed at the surface of magnetoelectro-elastic half-space[J].Acta Mechanica Solida Sinica,2015,28(1):102-110.
[3]Li Li,Yi Wen Wei,P J Wei.The piezoelectric and piezomagnetic effects on the surface wave speed[J].Applied Mechanics and Materials,2013,268(1):1619-1622.
[4]汤亮.功能梯度电磁弹性材料的表面波传播[J].上海大学学报,2010,16(6):643-648.
[5]Li L,Wei P J.Surface wave speed of functionally graded magneto-electro-elastic materials with initial stresses[J].Journal of Theoretical and Applied Mechanics,2014(44):49-64.
[6]Li L,Wei P J.Propagation of surface waves in a homogeneous layer of finite thickness over an initially stressed functionally graded magnetic-electric-elastic half-space[J].Journal of Theoretical and Applied Mechanics,2015,45:69-86.