A nonlinear spring model for an interface between two solids
A nonlinear spring model for an interface between two solids
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两个固体之间界面的非线性弹簧模型
DOI：
10.1016/j.wavemoti.2012.09.004
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发表时间：
2013-03-01
期刊：
影响因子：
2.4
通讯作者：
Li, Mingxuan
中科院分区：
文献类型：
--
作者：
An, Zhiwu;Wang, Xiaomin;Li, Mingxuan
在二阶微扰范围内，得到了伴随声波在两种固体之间的界面层中传播的二次谐波场的解。通过在界面层厚度与波长之比较小的极限情况下对精确解进行渐近展开，严格地建立了一个被称为“非线性弹簧模型”的近似边界模型。通过与精确解进行比较，分析了上述模型的适用性。结果表明，非线性弹簧模型的精度与一些参数密切相关，例如界面层厚度与波长之比，以及层材料与基底的质量密度。利用非线性弹簧模型分析了影响在界面处产生的二次谐波振幅的参数。（C）2012爱思唯尔有限公司。保留所有权利。
The solution for second-harmonic fields accompanying an acoustic wave propagating through an interface layer between two solids has been obtained within a second-order perturbation. An approximate boundary model termed as a "nonlinear spring model" has been rigorously developed using an asymptotic expansion of the exact solution in the limit of small ratio of interface layer thickness to wavelength. The applicability of the above model is analyzed by comparison with the exact solution. It is shown that the accuracy of the nonlinear spring model is closely related to some parameters such as the ratio of interface layer thickness to wavelength, and mass densities of layer material to substrates. Parameters that affect the amplitudes of the second harmonics generated at the interface are analyzed by using the nonlinear spring model. (C) 2012 Elsevier B.V. All rights reserved.