Abstract

This paper is dedicated to the mathematical modeling of torsional surface waves in a heterogeneous monoclinic crystal cladded with a void type porous layer and gravitating viscous-sandy-elastic semi infinite substratum subjected to imperfect corrugated boundary surface. The model is solved analytically by using an implicit separable variable technique together with a Whittaker’s function and Bessel’s functions. This study focused on the determination of dispersion equation constituents from displacement components of the media by using suitable boundary conditions. The isotropic limit tests expose strong symphony together with the isotropic results attainable in literature. Detailed analysis through numerical simulations and graphical illustration of the dispersion equation includes discussion on the various rheological parameters such as shape of the irregular surfaces, Biot’s gravity parameter, sandy parameter, heterogeneity parameter, dissipation factor etc., on the dispersion curves of torsional wave.

中文翻译：

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包覆有空隙型多孔层和粘砂基体的波纹单斜晶体介质中扭转波的色散分析

摘要

本文致力于在不完美波纹边界表面包覆有空隙型多孔层和引力粘-砂-弹性半无限基底的异质单斜晶体中扭转表面波的数学建模。该模型是通过使用隐式可分离变量技术以及 Whittaker 函数和 Bessel 函数来解析求解的。本研究的重点是通过使用合适的边界条件从介质的位移分量中确定色散方程的成分。各向同性极限测试与文献中可获得的各向同性结果一起展示了强烈的交响乐。