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Surface waves in nonlocal transversely isotropic liquid-saturated porous solid
Archive of Applied Mechanics ( IF 2.8 ) Pub Date : 2021-04-19 , DOI: 10.1007/s00419-021-01940-2
Do Xuan Tung

In this paper, propagation of surface waves in nonlocal transversely isotropic liquid-saturated porous solid half-space has been investigated. The model is proposed for two different situations of which one is for excluding fluid nonlocal effect, and the other is for including fluid nonlocal effect. The existence of a new wave that arises due to the presence of nonlocality parameter in the medium as well as some critical circular frequencies is derived. Dispersion equation for the propagation of Rayleigh-type surface waves and their conditions of existence at the free surface of transversely isotropic liquid-saturated porous solids has been obtained. The boundary may be opened surface pores or sealed surface pores. Dependence of the velocities of surface waves, Rayleigh wave type on the direction of propagation and frequency has been illustrated. These numerical results report the phenomena such as anomalous negative dispersion of wave velocities with frequency.



中文翻译:

非局部横向各向同性液体饱和多孔固体中的表面波

本文研究了表面波在非局部横向各向同性液体饱和多孔固体半空间中的传播。针对两种不同情况提出了该模型,其中一种用于排除流体非局部效应,另一种用于包括流体非局部效应。推导了由于介质中存在非局部性参数以及一些关键循环频率而产生的新波的存在。得到了在横向各向同性液体饱和多孔固体自由表面上瑞利型表面波的传播及其存在条件的色散方程。边界可以是开放的表面孔或密封的表面孔。已经说明了表面波速度,瑞利波类型对传播方向和频率的依赖性。

更新日期:2021-04-19
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