Torsional wave propagation in a self-reinforced medium sandwiched between a rigid layer and a viscoelastic half space under gravity

The present paper constitutes the study of torsional surface wave propagation in a self-reinforced layer resting over a gravitating viscoelastic half space. The layer has an inhomogeneity of linear type associated with the rigidity and density of the medium. Dispersion equation has been obtained in the terms of HypergeometricU and LaguerreL function. The dispersion equation reduces to a classical form when the inhomogeneity of the layer, gravity and viscosity of the half space vanishes. The influence of various parameters has been depicted by means of graphs for both reinforced and reinforcement free medium.