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
相关论文
共 50 条
  • [21] Surface waves guided by topography in an anisotropic elastic half-space
    Fu, Y. B.
    Rogerson, G. A.
    Wang, W. F.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2013, 469 (2149):
  • [22] Propagation of steady nonlinear waves in a coated elastic half-space
    Fu, YB
    Hill, SLB
    WAVE MOTION, 2001, 34 (01) : 109 - 129
  • [23] Rayleigh waves in an incompressible orthotropic half-space coated by a thin elastic layer
    Vinh, P. C.
    Linh, N. T. K.
    Anh, V. T. N.
    ARCHIVES OF MECHANICS, 2014, 66 (03): : 173 - 184
  • [24] Rayleigh-type waves in nonlocal micropolar solid half-space
    Khurana, Aarti
    Tomar, S. K.
    ULTRASONICS, 2017, 73 : 162 - 168
  • [25] In-plane surface waves propagating in a coated half-space based on the strain-gradient elasticity theory
    Zhao, Bowen
    Long, Jianmin
    MATHEMATICS AND MECHANICS OF SOLIDS, 2024, 29 (08) : 1667 - 1682
  • [26] Surface waves problem in a thermoviscoelastic porous half-space
    Chirita, Stan
    Danescu, Alexandre
    WAVE MOTION, 2015, 54 : 100 - 114
  • [27] Stability of Surface Rayleigh Waves in an Elastic Half-Space
    Rosini, M. D.
    STUDIES IN APPLIED MATHEMATICS, 2010, 124 (02) : 179 - 211
  • [28] Influence of Surface Waves in Magnetoelastic Half-Space with Gravity
    Chaudhary, Soniya
    Sahu, Sanjeev A.
    PLASTICITY AND IMPACT MECHANICS, 2017, 173 : 1014 - 1020
  • [29] On the existence of surface waves in an elastic half-space with impedance boundary conditions
    Godoy, Eduardo
    Duran, Mario
    Nedelec, Jean-Claude
    WAVE MOTION, 2012, 49 (06) : 585 - 594
  • [30] Propagation of Rayleigh waves in a heterogeneous incompressible substratum over a homogeneous incompressible half-space
    Dey, S
    Gupta, AK
    Gupta, S
    INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 1996, 20 (05) : 365 - 375