Abstract
This paper investigates the propagation of horizontally polarised shear waves due to a point source in a magnetoelastic self-reinforced layer lying over a heterogeneous self-reinforced 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. Also, the comparative study is being made through graphs to find the effect of reinforcement over the reinforced-free case on the phase velocity. It is observed that the dispersion equation is in assertion with the classical Love-type wave equation in the absence of reinforcement, magnetic field and heterogeneity. Moreover, some important peculiarities have been observed in graphs.
Highlights
The study of mechanical behaviour of a self-reinforced material has great importance in Geomechanics
This paper investigates the propagation of horizontally polarised shear waves due to a point source in a magnetoelastic self-reinforced layer lying over a heterogeneous self-reinforced half-space
It is desirable to study the shear wave propagation in anisotropic media, as the propagation of elastic waves in anisotropic media is fundamentally different from their propagation in isotropic media
Summary
The study of mechanical behaviour of a self-reinforced material has great importance in Geomechanics. The problem of magnetoelastic transverse surface waves in self-reinforced elastic solids was studied by Verma et al [5]. Chattopadhyay and Chaudhury [6] studied the propagation, reflection and transmission of magnetoelastic shear waves in a self-reinforced elastic medium. The solutions of equations of motion represent the elastic displacement due to a unit impulse force in space and time For this reason, the Green’s function called the response of the medium to an impulsive excitation. Manolis and Bagtzoglou [28] described a numerical comparative study of wave propagation in inhomogeneous and random media He employed the Green’s function approach for waves propagating from a point source, while techniques to account for the presence of boundaries are discussed. It is observed that the dispersion equation is in assertion with the classical Love-type wave equation in the absence of reinforcement, magnetic field and heterogeneity
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