Dinesh Kumar Majhi

Propagation of torsional surface waves in a homogeneous layer of finite thickness over an initially stressed heterogeneous half-space

Abstract In the present paper, the dispersion equation which determines the velocity of torsional surface waves in a homogeneous layer of finite thickness over an initially stressed heterogeneous half-space has been obtained. The dispersion equation obtained is in agreement with the classical result of Love wave when the initial stresses and inhomogeneity parameters are neglected. Numerical results analyzing the dispersion equation are discussed and presented graphically. The result shows that the initial stresses have a pronounced influence on the propagation of torsional surface waves. It has also been shown that the effect of density, directional rigidities and non-homogeneity parameter on the propagation of torsional surface waves is prominent.

Torsional surface wave propagation in an initially stressed non-homogeneous layer over a non-homogeneous half-space

Abstract It is of great interest to study torsional surface wave propagation in an initially stressed non-homogeneous layer over a non-homogeneous half-space. The method of separation of variables is applied to find the displacement field. It is well known in the literature that the earth medium is not at all initial stress free and homogeneous throughout, but it is initially stressed and non-homogeneous. Keeping these things in mind, we have discussed propagation of torsional surface wave in an initially stressed non-homogeneous layer over a non-homogeneous half-space. It has been observed that the inhomogeneity parameter and the initial stress play an important role for the propagation of torsional surface wave. It has been seen that as the non-homogeneity parameter in the layer increases, the velocity of torsional surface wave also increases. Similarly as the non-homogeneity parameter in the half-space increases, the velocity of torsional surface wave increases. The initial stresses P present in the inhomogeneous layer also have effect in the velocity of propagation. It has been observed that an increase in compressive initial stresses decreases the velocity of torsional surface wave.

Influence of rigid boundary on the love wave propagation in elastic layer with void pores

In this paper, a mathematical model for Love wave propagation in a porous elastic layer under a rigid boundary resting over a poro-elastic half-space has been developed. The study shows that such a medium transmits two types of Love waves. The first front depends on the change in volume fraction of the pores whereas the second front depends upon the modulus of rigidity of the elastic matrix of the medium and is the same as the Love wave in an elastic layer over an elastic half-space. It is observed that the first front is many times faster than the shear wave in the medium with void pores due to the change in the volume fraction of the pores and is significant.