Surface Waves on a Coated Homogeneous Half-Space under the Effects of External Forces

被引:4
|
作者
Mubaraki, Ali M. [1 ]
Almalki, Fadhel M. [1 ]
机构
[1] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, Taif 21944, Saudi Arabia
来源
SYMMETRY-BASEL | 2022年 / 14卷 / 11期
关键词
surface waves; coated half-space; magnetic field force; Winkler's elastic foundation; RAYLEIGH-WAVES; ELASTIC-WAVES; LAYER; THERMOELASTICITY; PROPAGATION; DISPERSION; MODEL;
D O I
10.3390/sym14112241
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The present study focuses on the examination of the propagation of plane surface waves on a coated half-space, which is accompanied by the magnetic field force, and the normal mechanical loading, due to Winkler's elastic foundation. The study is based upon the application of the analytical and asymptotic integration procedures to acquire and further analyze the aspiring secular equation. Asymptotically, the influence of the coating layer is suppressed by deploying apposite effective boundary conditions that are ingrained on a long-wave approximation condition, to obtain the resulting pseudo-differential operator of the reduced equation of surface motion. In fact, the comparison between the two approaches yielded considerable agreement through the dependency plots, featuring the scaled velocity v/v(R) versus the dimensionless wavenumber K. Moreover, certain well-known results in the literature are obtained as liming circumstances of the present examination. Additionally, an insightful finding about the vanishing possibility of the coating layer is illustratively highlighted.
引用
收藏
页数:15
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