Dynamical behaviour of torsional waves in a layered composite structure with sliding contact

This study reports the propagation characteristics of torsional waves in a composite fibre-reinforced magnetoelastic layer lying over an inhomogeneous elastic half-space with sliding interface. Variation in material properties of the half-space is considered to possess exponential type inhomogeneity, whereas linearized Maxwell’s perfectly conducting material is chosen for the superimposed layer. Generalized frequency equation is derived to characterize the torsional wave speed and its dependence on relevant parameters. Certain established models are stemmed as special cases of the present analysis for the two extrema of sliding contact parameter. Accordingly, the stemmed dispersion relations are found to be in agreement with the previously documented results. Torsional speed is numerically computed and represented pictorially using implicit surface plots for characterizing the effects of relevant parameters such as magneto-elastic coupling, sliding parameter, radial displacement, inhomogeneity, the direction of reinforcement and angle of the primary magnetic field. Findings of the present work may be utilized in signal testing, geophysical applications concerned with torsional wave based non-destructive evaluation.