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Surface wave scattering analysis in an initially stressed stratified media
Engineering Computations ( IF 1.6 ) Pub Date : 2021-07-15 , DOI: 10.1108/ec-03-2020-0133
Anand Mandi 1 , Santimoy Kundu 1 , Prakash Chandra Pal 1
Affiliation  

Design/methodology/approach

The present discussed problem deals with the torsional surface wave scattering in an initially stressed inhomogeneous medium. The assumed model consists of tri-mediums resting over a viscoelastic semi-infinite medium and the considered tri-mediums are transversely isotropic, porous, and heterogeneous respectively under the impression of initial stress.

Design/methodology/approach

Heterogeneities are associated with density and rigidity in the intermediate layer and considered heterogeneities are of the trigonometric form. Displacement components are derived for mediums by applying separable variables.

Findings

Frequency equation is deduced by using suitable boundary conditions, defined at the free surface of the uppermost medium, and on the interfaces between mediums. The derived equation is of the complex form, real and imaginary parts direct the phase/damped velocities respectively. Additional results are considered in particular cases. Numerical examples are adopted for computing frequency equation and drawn consequences are demonstrated graphically to analyze the significant impact of various parameters on the phase velocity as well as on damped velocity of the surface wave sketched against the wavenumber.

Originality/Value

This presented research work provides a different view over the analysis of torsional surface waves than the earlier investigations. Previously studied problems on the wave generation were conducted in different models under the various affecting parameters. Study on torsional wave generation in the present model is not carried out till now. This study may find its virtue in the theoretical aspect as well as in the possible practical implications. The outcomes are relevant to geology and allied areas; moreover, the concern applications may be implicated in geological exploration, civil engineering, and prediction of Earthquake etc.



中文翻译:

初始受力分层介质中的表面波散射分析

设计/方法/方法

当前讨论的问题涉及初始应力非均匀介质中的扭转表面波散射。假设模型由停留在粘弹性半无限介质上的三介质组成,并且所考虑的三介质在初始应力的影响下分别是横向各向同性的、多孔的和异质的。

设计/方法/方法

异质性与中间层的密度和刚度有关,被认为是三角形式的异质性。通过应用可分离变量为介质导出位移分量。

发现

频率方程是通过使用合适的边界条件推导出来的,边界条件定义在最上层介质的自由表面,以及介质之间的界面上。导出的方程是复数形式,实部和虚部分别指导相位/阻尼速度。在特定情况下会考虑其他结果。采用数值算例计算频率方程,并以图形方式展示得出的结果,以分析各种参数对相速度的显着影响,以及对波数绘制的面波阻尼速度的显着影响。

原创性/价值

与早期研究相比,本研究工作提供了对扭转表面波分析的不同观点。先前研究的波浪生成问题是在各种影响参数下在不同模型中进行的。目前模型中扭波产生的研究尚未开展。这项研究可能会在理论方面以及可能的实践意义中找到它的优点。结果与地质和相关地区有关;此外,关注的应用可能涉及地质勘探、土木工程和地震预测等。

更新日期:2021-08-16
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