初应力下含有两个覆盖层的功能梯度磁电弹半空间中表面波研究
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摘要
假设基底为带有梯度初应力的功能梯度磁电弹材料,材料的性质和初应力都沿厚度方向指数变化.基底上含有两个不同材料的均匀覆盖层,一个是带有常数初应力的磁电弹覆盖层,一个是均匀弹性覆盖层.通过考察不同的电磁学边界条件及界面的连续条件,给出此结构的表面波波速方程.
Substrate is the functionally graded magnetic-electric-elastic material with the graded initial stress. The material parameters and initial stress in the substrate are assumed to vary exponentially along the thickness direction. The two homogeneous layers are different materials. One is the homogeneous magneto-electro-elastic layer with constant initial stress.The other is the homogeneous elastic layer. The velocity equations of surface waves are derived on the electrically and magnetically open circuit or short circuit boundary conditions.
Substrate is the functionally graded magnetic-electric-elastic material with the graded initial stress. The material parameters and initial stress in the substrate are assumed to vary exponentially along the thickness direction. The two homogeneous layers are different materials. One is the homogeneous magneto-electro-elastic layer with constant initial stress.The other is the homogeneous elastic layer. The velocity equations of surface waves are derived on the electrically and magnetically open circuit or short circuit boundary conditions.
引文
[1]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.
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[3] Li Li, Peijun Wei. 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.
[4]王春艳,李立.初应力下功能梯度磁电弹材料的Love波传播[J].数学的实践与认识,2016, 21:200-206.
[5] Qian Z H, Jin F, Wang Z K, Kishimoto K. Love waves propagation in a piezoelectric layered structure with initial stresses[J]. Acta Mech, 2004(171):41-57.
[2] Li Li, P J Wei. 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.
[3] Li Li, Peijun Wei. 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.
[4]王春艳,李立.初应力下功能梯度磁电弹材料的Love波传播[J].数学的实践与认识,2016, 21:200-206.
[5] Qian Z H, Jin F, Wang Z K, Kishimoto K. Love waves propagation in a piezoelectric layered structure with initial stresses[J]. Acta Mech, 2004(171):41-57.