scholarly journals Torsional surface waves in an inhomogeneous layer over a gravitating anisotropic porous half-space

2015 ◽  
Vol 662 ◽  
pp. 012008
Author(s):  
Shishir Gupta ◽  
Abhijit Pramanik
2015 ◽  
Vol 32 (1) ◽  
pp. 113-121 ◽  
Author(s):  
S. Gupta ◽  
A. Pramanik

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.


Wave Motion ◽  
2015 ◽  
Vol 54 ◽  
pp. 100-114 ◽  
Author(s):  
Stan Chiriţă ◽  
Alexandre Danescu

2017 ◽  
Vol 22 (2) ◽  
pp. 415-426
Author(s):  
M. Sethi ◽  
A. Sharma ◽  
A. Vasishth

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.


Wave Motion ◽  
2000 ◽  
Vol 31 (4) ◽  
pp. 333-348 ◽  
Author(s):  
H.G. Georgiadis ◽  
I. Vardoulakis ◽  
G. Lykotrafitis

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