The Rayleigh wave in a finitely deformed isotropic elastic material
The Rayleigh wave in a finitely deformed isotropic elastic material
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DOI：
10.1121/1.382051
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发表时间：
1978-09
影响因子：
2.4
通讯作者：
Y. Iwashimizu;O. Kobori
中科院分区：
文献类型：
--
作者：
Y. Iwashimizu;O. Kobori
从理论上研究了均匀应变作用下各向同性弹性材料中瑞利表面波的传播。波的位移被假定为无穷小，其传播方向被认为是任意的。通过忽略二阶及高阶初应变的实用近似，导出了传播速度随应变变化的公式。在这种分析中，SH分量不能假设得很小，它起着重要的作用，但最后可以确定，波的合成模式与线性弹性理论中的模式几乎相同，模式中包含的SH分量是应变的一阶。
The propagation of the Rayleigh surface wave in an isotropic elastic material subjected to a homogeneous strain is studied theoretically. The displacement of the wave is assumed infinitesimally small, and its propagation direction is taken to be arbitrary. By the practical approximation that the second and higher orders of the initial strain are neglected, the formula for the change of the propagation velocity due to the strain is derived. In this analysis, the SH component of the wave cannot be assumed small and plays an important role, but it is finally ascertained that the resultant mode of the wave is almost the same as that in the linear theory of elasticity and the SH component contained in the mode is of the first order of the strain.