Effect of point source and heterogeneity on the propagation of magnetoelastic shear wave in a monoclinic medium

Abstract

This paper stands to investigate the possibility of propagation of SH waves due to a point source in a magnetoelastic monoclinic layer lying over a heterogeneous monoclinic half-space. The heterogeneity is caused by consideration of quadratic variation in rigidity. The methodology employed combines an efficient derivation for Green's functions based on algebraic transformations with the perturbation approach. Dispersion equation has been obtained in the closed form. The dispersion curves are compared for different values of magnetoelastic coupling parameters and inhomogeneity parameters. It is found that as heterogeneity parameters and magnetoelastic coupling parameters increases, the phase velocity increases for both isotropic and monoclinic cases but the increase is more prominent in the monoclinic case. In the isotropic case, when heterogeneity and magnetic field are absent, the dispersion equation is matched with the classical SH wave equation

On point source influencing Love-type wave propagation in a functionally graded piezoelectric composite structure: A Green’s function approach

“…Green’s function is defined depending on the characteristics of the material medium about how it reacts mechanically to an impulsive excitation force. Chattopadhyay and Singh (2011) investigates the possibility of SH-wave propagation due to a point source in a magnetoelastic monoclinic layer overlying a monoclinic half-space with the aid of Green’s function. Some more disquisition on this ground may be referred from Chattopadhyay et al (2012) and Chattopadhyay and Kar (1981).…”