On guided wave propagation in fully clamped porous functionally graded nanoplates
On guided wave propagation in fully clamped porous functionally graded nanoplates
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DOI：
10.1016/j.actaastro.2017.12.011
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发表时间：
2018-02
影响因子：
3.5
通讯作者：
B. Karami;M. Janghorban;Li Li-Li
中科院分区：
文献类型：
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作者：
B. Karami;M. Janghorban;Li Li-Li
近年来，人们对纳米片中的体波进行了多次研究，但对导波的研究尚未进行。本文主要研究由多孔功能梯度材料制成的纳米板中导波的尺寸依赖性。为了考虑纳米片的尺寸效应和剪切效应，采用一阶剪切变形理论和非局部弹性理论对纳米片进行了建模。通过修正的幂律函数定义了功能梯度纳米板的孔隙率相关的材料性质。控制方程推导出使用汉密尔顿的原则，并解析求解，以获得波的频率和相速度。这是第一次，所提出的模型用于研究导波在完全固定的功能梯度纳米板的孔隙率。在这项研究中，波的频率以及相速度的完全固定的多孔功能梯度纳米板的结合的影响的长宽比，纵横比，孔隙率，材料的梯度，非局部参数，弹性基础参数和波数进行了详细的研究。
The study on bulk waves in nanoplates has been done for several times in recent years, but guided waves have not been investigated yet. This paper is focused on the size-dependent guided wave propagation in mounted nanoplates made of porous functionally graded materials. To capture the size-dependent and shear effects, the first-order shear deformation theory and nonlocal elasticity theory are used to model the nanoplate. Porosity-dependent material properties of functionally graded nanoplate are defined via a modified power-law function. Governing equations were derived by using Hamilton's principle and are solved analytically to obtain wave frequencies and phase velocities. It is the first time that the presented model is used for studying guided wave propagation in fully clamped functionally graded nanoplates with porosities. In this research, wave frequencies as well as phase velocities of a fully clamped porous functionally graded nanoplate incorporating the effects of length-to-thickness ratio, aspect ratio, porosities, material gradation, nonlocal parameter, elastic foundation parameters and wave number are studied in detail.