Influence of corrugated boundary surfaces, reinforcement, hydrostatic stress, heterogeneity and anisotropy on Love-type wave propagation

Abstract

It may not be enough to hold all the engineering problems by the supposition that material mediums are isotropic, homogeneous, without initial stress and have a planar boundary surface, as the concept cannot indulge many features of the continuum response which are of great significance. This motivates us to study the influence of corrugated boundary surfaces, reinforcement, hydrostatic stress, heterogeneity and anisotropy on the propagation of Love-type wave in a corrugated heterogeneous orthotropic layer lying over a fibre-reinforced half-space under hydrostatic state of stress. The heterogeneity in the upper corrugated layer is caused due to exponential variation in the elastic constants with respect to the space variable pointing positively downwards. The dispersion relation has been obtained in closed form and found in well-agreement to the classical Love wave equation. The substantial effect of corrugation parameters, reinforcement, undulatory parameter, hydrostatic state of stress, heterogeneity parameter, position parameter and wave number on the phase velocity of Love-type wave has been observed and depicted by means of graph. The comparative study to unravel the effect of presence and absence of corrugated boundary surfaces of layer, heterogeneity in upper layer, reinforcement in half-space and anisotropy existing in both layer and half-space, on the dispersion curve is among the important peculiarities of the present paper.