Scale effects on flexural wave propagation in nanoplate embedded in elastic matrix with initial stress
Scale effects on flexural wave propagation in nanoplate embedded in elastic matrix with initial stress
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DOI：
10.1007/s00339-010-5666-4
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发表时间：
2010-04
期刊：
影响因子：
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通讯作者：
Yi-Ze Wang;Fengming Li;K. Kishimoto
中科院分区：
文献类型：
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作者：
Yi-Ze Wang;Fengming Li;K. Kishimoto
本文研究了纳米板中弯曲波的小尺度效应。基于非局域连续统理论，推导了波动方程并给出了色散关系。通过数值模拟研究尺度系数、周围弹性矩阵和初始应力对波传播特性的影响。结果表明，非局部模型为研究纳米板中弯曲波的特性提供了合适的方法。此外，双轴载荷的方向和幅度、剪切层和温克勒基础的刚度可以显着改变波浪特性。
In this paper, the small-scale effects on the flexural wave in the nanoplate are studied. Based on the nonlocal continuum theory, the equation of wave motion is derived and the dispersion relation is presented. Numerical simulations are performed to investigate the influences of the scale coefficient, the surrounding elastic matrix and the initial stress on the wave propagation properties. The results show that the nonlocal model provides an appropriate method to investigate the characteristics of the flexural wave in the nanoplate. Furthermore, the direction and amplitude of the biaxial load, the stiffness of the shearing layer and the Winkler foundation can change the wave properties, significantly.