Rayleigh-type wave propagation in incompressible visco-elastic media under initial stress  

作　　者：P.SINGH A.CHATTOPADHYAY A.K.SINGH 

机构地区：[1]Department of Applied Mathematics,Indian Institute of Technology (ISM)

出　　处：《Applied Mathematics and Mechanics(English Edition)》2018年第3期317-334,共18页应用数学和力学（英文版）

基　　金：Indian Institute of Technology (Indian School of Mines),Dhanbad,India for providing Junior Research Fellowship

摘　　要：Propagation of Rayleigh-type surface waves in an incompressible visco-elastic material over incompressible visco-elastic semi-infinite media under the effect of initial stresses is discussed. The dispersion equation is determined to study the effect of differ- ent types of parameters such as inhomogeneity, initial stress, wave number, phase velocity, damping factor, visco-elasticity, and incompressibility on the Rayleigh-type wave prop- agation. It is found that the affecting parameters have a significant effect on the wave propagation. Cardano＇s and Ferrari＇s methods are deployed to estimate the roots of dif- ferential equations associated with layer and semi-infinite media. The MATHEMATICA software is applied to explicate the effect of these parameters graphically.Propagation of Rayleigh-type surface waves in an incompressible visco-elastic material over incompressible visco-elastic semi-infinite media under the effect of initial stresses is discussed. The dispersion equation is determined to study the effect of differ- ent types of parameters such as inhomogeneity, initial stress, wave number, phase velocity, damping factor, visco-elasticity, and incompressibility on the Rayleigh-type wave prop- agation. It is found that the affecting parameters have a significant effect on the wave propagation. Cardano＇s and Ferrari＇s methods are deployed to estimate the roots of dif- ferential equations associated with layer and semi-infinite media. The MATHEMATICA software is applied to explicate the effect of these parameters graphically.

关 键 词：Rayleigh-type wave INHOMOGENEITY initial stress VISCO-ELASTICITY incom-pressible 

分 类 号：O353[理学—流体力学]