Effect of surface stress and irregularity of the interface on the propagation of SH-waves in the magneto-elastic crustal layer based on a solid semi space

Abstract

The object of the present paper is to investigate plane SH waves through a magneto-elastic crustal layer based over an elastic, solid semi space under the influence of surface stress on the free surface of the crustal layer and irregularity of the interface. Two types of irregularities of the interface namely, rectangular and parabolic have been considered. Modulations of wave velocity due to the presence of surface stress, irregularity and the magnetic field have been studied separately. Their combined effect has also been investigated. Graphs are drawn to highlight some important peculiarities. It is observed that surface stress, irregularity and magnetic field have their respective role to play in the propagation of SH waves in the crustal layer. Further modulation of wave velocity occurs due to their combined effect.

Propagation and Reflection of Plane Waves in a Rotating Magneto-Elastic Fibre-Reinforced Semi Space with Surface Stress

“…Using equations (19) and (20) in equations (9) and (10) one obtains the following equations corresponding to equation (12) (…”

“…Gurtin and Murdoch [19] presented a general theory of surface stress in solids. Acharya and Roy [20] showed the Effect of surface stress and irregularity of the interface on the propagation of SH-waves in the magneto-elastic crustal layer based on a solid semi space. Altenbach et.…”

2-Dimensional Deformation of an Irregular Orthotropic Elastic Medium

“…Mal [2] ,Kar et al [3], Chattopadhyay [4], Acharya and Roy [5], and others. Madan et al [6] and Kumar et al [7] analyzed the effect of rigidity and irregularity on the propagation of Love waves in fluid saturated porous anisotropic single layered and multilayered elastic media.…”