Effect of Initial Stress on Propagation of Love Waves in an Anisotropic Porous Layer

Subject Areas : Engineering

S Gupta ¹ , A Chattopadhyay ² , D.K Majhi ³

1 - Department of Applied Mathematics, Indian School of Mines
2 - Department of Applied Mathematics, Indian School of Mines
3 - Department of Applied Mathematics, Indian School of Mines

Received: 2010-01-16 Accepted : 2010-05-01 Published : 2010-03-30

Keywords: Phase velocity, Love wave, Anisotropic, Initial stress, Dispersion equation,

Abstract :

In the present paper, effect of initial stresses on the propagation of Love waves has been investigated in a fluid saturated, anisotropic, porous layer lying in welded contact over a prestressed, non-homogeneous elastic half space. The dispersion equation of phase velocity has been derived. It has been found that the phase velocity of Love waves is considerably influenced by porosity and anisotropy of the porous layer, inhomogeneity of the half-space and prestressing present in the media, the layer and the half-space. The effect of the medium characteristics on the propagation of Love waves has been discussed and results of numerical calculations have been presented graphically.

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