粘性液体/微极性微拉伸弹性固体中的瑞利波传播

IF 0.2 Q4 MATHEMATICS
K. Somaiah, A. R. Kumar
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引用次数: 0

摘要

. 本文考虑并求解了xz平面均匀、各向同性微极微拉伸弹性固体表面波传播的控制方程。推导了两种瑞利波的频率方程,一种是沿微极性微拉伸弹性固体半空间自由表面的频率方程,另一种是沿粘性液体/微极性微拉伸固体界面的频率方程。它们本质上是分散的。在一些特殊情况的研究中,我们观察到四种瑞利波的传播,其中两种波在广义微极性固体和微拉伸固体的自由表面,另外两种波在粘性液体/非微拉伸固体的界面。在这四个波中,三个瑞利波依赖于固体密度,其中一个是非色散的。以某一固体和粘性液体层为例,绘制了频率曲线,并利用matlab软件进行了讨论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Rayleigh Wave Propagation at Viscous Liquid/Micropolar Micro-stretch Elastic Solid
. In this article, the governing equations of a homogeneous, isotropic micropolar micro-stretch elastic solid for xz-plane are considered and solved for surface wave propagation. Two types of frequency equations for Rayleigh waves are derived, in which one is along the free surface of micropolar micro-stretch elastic solid half space and another is at viscous liquid/micropolar micro-stretch solid interface. These are dispersive in nature. In the study of some particular cases, we observed that four types of Rayleigh waves are propagate, out of these, two waves are at free surface of generalized micropolar solid and micro-stretch solid and another two types of waves are at interface of viscous liquid/non-microstretch solid. In these four waves, three Rayleigh waves are dependent on solid density and one of them is non-dispersive in nature. Numerical example is considered for a particular solid and viscous liquid layer and the frequency curves are drawn and discussed with the help of M ATLAB programme.
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