Effect of irregularity on the propagation of torsional surface waves in an initially stressed anisotropic poro-elastic layer

2010 ◽  
Vol 31 (4) ◽  
pp. 481-492 ◽  
Author(s):  
S. Gupta ◽  
A. Chattopadhyay ◽  
D. K. Majhi
Keyword(s):  
Surface Waves ◽  
Elastic Layer ◽  
Torsional Surface Waves

Torsional Surface Waves in an Inhomogeneous Layer over a Fluid Saturated Porous Half-Space

2015 ◽  
Vol 32 (1) ◽  
pp. 113-121 ◽  
Author(s):  
S. Gupta ◽  
A. Pramanik
Keyword(s):  
Surface Waves ◽  
Half Space ◽  
Elastic Layer ◽  
Love Wave ◽  
Inhomogeneous Layer ◽  
Homogeneous Half Space ◽  
Inhomogeneous Elastic Layer ◽  
Porous Half Space ◽  
Torsional Surface Wave ◽  
Torsional Surface Waves

ABSTRACTIn the present paper the propagation of torsional surface waves is discussed in an inhomogeneous elastic layer lying over a fluid saturated porous half space. The inhomogeneity in rigidity and density in the inhomogeneous layer plays an important role in the propagation of torsional surface waves. The presence of fluid in the pores diminishes the velocity. Further, it is seen that if the layer becomes homogeneous and the porous half space is replaced by a homogeneous half space, the velocity of the torsional surface waves coincides with that of Love wave. The effect of inhomogeneity factors and porosity factor on the phase velocity of torsional surface wave is delimitated by means of graphs.

scholarly journals Rotation and Magnetic Field Effect on Surface Waves Propagation in an Elastic Layer Lying over a Generalized Thermoelastic Diffusive Half-Space with Imperfect Boundary

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
S. M. Abo-Dahab ◽  
Kh. Lotfy ◽  
A. Gohaly
Keyword(s):  
Magnetic Field ◽  
Surface Waves ◽  
Half Space ◽  
Attenuation Coefficient ◽  
Elastic Layer ◽  
Finite Thickness ◽  
Relaxation Times ◽  
Magnetic Field Effect ◽  
Plane Boundary ◽  
Special Cases

The aim of the present investigation is to study the effects of magnetic field, relaxation times, and rotation on the propagation of surface waves with imperfect boundary. The propagation between an isotropic elastic layer of finite thickness and a homogenous isotropic thermodiffusive elastic half-space with rotation in the context of Green-Lindsay (GL) model is studied. The secular equation for surface waves in compact form is derived after developing the mathematical model. The phase velocity and attenuation coefficient are obtained for stiffness, and then deduced for normal stiffness, tangential stiffness and welded contact. The amplitudes of displacements, temperature, and concentration are computed analytically at the free plane boundary. Some special cases are illustrated and compared with previous results obtained by other authors. The effects of rotation, magnetic field, and relaxation times on the speed, attenuation coefficient, and the amplitudes of displacements, temperature, and concentration are displayed graphically.

scholarly journals Mathematical Modeling of Torsional Surface Wave Propagation in a Non-Homogeneous Transverse Isotropic Elastic Solid Semi-Infinite Medium Under a Layer

2017 ◽  
Vol 22 (2) ◽  
pp. 415-426
Author(s):  
M. Sethi ◽  
A. Sharma ◽  
A. Vasishth
Keyword(s):  
Mathematical Modeling ◽  
Surface Waves ◽  
Half Space ◽  
Elastic Solid ◽  
Elastic Half Space ◽  
Complete Agreement ◽  
Rigid Layer ◽  
Transverse Isotropic ◽  
Separation Of Variable ◽  
Torsional Surface Waves

AbstractThe present paper deals with the mathematical modeling of the propagation of torsional surface waves in a non-homogeneous transverse isotropic elastic half-space under a rigid layer. Both rigidities and density of the half-space are assumed to vary inversely linearly with depth. Separation of variable method has been used to get the analytical solutions for the dispersion equation of the torsional surface waves. Also, the effects of nonhomogeneities on the phase velocity of torsional surface waves have been shown graphically. Also, dispersion equations have been derived for some particular cases, which are in complete agreement with some classical results.

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