scholarly journals Effect of Rigid Boundary on the Propagation of Torsional Surface Waves in Initially Stressed Gravitating Dry Sandy Medium

2016 ◽  
Vol 144 ◽  
pp. 1242-1251 ◽  
Author(s):  
S. Gupta ◽  
Aeny Satbhaiya ◽  
Meena
Keyword(s):  
Surface Waves ◽  
Rigid Boundary ◽  
Torsional Surface Waves

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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