Effects of periodic corrugated boundary surfaces on plane SH-waves in fiber-reinforced medium over a semi-infinite micropolar solid under the action of magnetic field

Abstract

The present paper is devoted to a study of SH-wave propagation in a fiber-reinforced layer exhibiting magnetic influences embedded over a semi-infinite micropolar elastic solid under the influence of dissimilar corrugated boundary surfaces. In order to establish the frequency relation of SH-wave for the proposed earth model, suitable boundary conditions have been employed upon the surface wave solutions of the elasto-dynamical equations for both the materials. Method of separation of variables has been used in solving the problem. Possible special cases have also been studied which fairly comply with the corresponding results for classical cases. Numerical computations are performed to demonstrate the role of reinforcement parameters, angle with which the wave crosses the magnetic field, corrugation parameters in presence and absence of micropolarity, as well as the micropolarity parameters are presented by means of graphs. The study is important in view of its possible applications in investigations related to deformation characteristics of solids and rock formations.