Effect of irregularity on torsional surface waves in an initially stressed anisotropic porous layer sandwiched between homogeneous and non-homogeneous half-space

Abstract The present paper studies the effect of circular regularity on propagation of torsional surface waves in an elastic non-homogeneous half-space. Both rigidity 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 non-homogeneity and irregularity on the phase velocity of torsional surface waves have shown graphically.

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Propagation of torsional surface waves in a double porous layer lying over a Gibson half space

Soil Dynamics and Earthquake Engineering ◽

10.1016/j.soildyn.2015.09.017 ◽

2016 ◽

Vol 80 ◽

pp. 56-64 ◽

Cited By ~ 6

Author(s):

Sushant Shekhar ◽

Imtiyaz A. Parvez

Keyword(s):

Surface Waves ◽

Half Space ◽

Porous Layer ◽

Torsional Surface Waves

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

Journal of Mechanics ◽

10.1017/jmech.2015.46 ◽

2015 ◽

Vol 32 (1) ◽

pp. 113-121 ◽

Cited By ~ 3

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.

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

International Journal of Applied Mechanics and Engineering ◽

10.1515/ijame-2017-0025 ◽

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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