Influence of magnetoelasticity on frequency equation of Shear wave propagation in a multilayered magnetoelastic anisotropic monoclinic medium

Abstract The present paper deals with the Shear wave propagation in a multilayered magnetoelastic anisotropic monoclinic medium with finite difference modeling to comprehend the stability criteria, phase velocity, and group velocity. Utilizing Maxwell’s fundamental theory of magnetoelasticity, the problem has been constructed. Haskell’s matrix technique has been utilized to obtain the frequency equation. Stability analysis has been conducted based on the finite difference technique to reduce the soaring error values and control its stability. Numerical evaluation as well as graphical representation, have been employed to enlighten the effects of different values of courant number and magnetoelasticity on the phase and group velocities.

[1]  I. Roy,et al.  Effect of magnetic field and initial stress on the propagation of interface waves in transversely isotropic perfectly conducting media , 2009 .

[2]  A. Singh,et al.  Effect of smooth moving punch in an initially stressed monoclinic magnetoelastic crystalline medium due to shear wave propagation , 2016 .

[3]  Amrita Das,et al.  Influence of magnetic effect, anisotropy, irregularity, initial stress and heterogeneity on propagation of SH-wave in an irregular pre-stressed magnetoelastic monoclinic sandwiched layer , 2017, Arabian Journal of Geosciences.

[4]  G. Maugin,et al.  Diffraction of magnetoelastic shear waves by a rigid strip , 1985 .

[5]  A. Chattopadhyay,et al.  Dynamic Response of Normal Moving Load in the Plane of Symmetry of a Monoclinic Half-Space , 2006 .

[6]  Sarva Jit Singh,et al.  Reflection ofP andSV waves at the free surface of a monoclinic elastic half-space , 2002 .

[7]  Ralph A. Stephen,et al.  An implicit finite-difference formulation of the elastic wave equation , 1982 .

[8]  Jenö Gazdag,et al.  Modeling of the acoustic wave equation with transform methods , 1981 .

[9]  A. Chattopadhyay,et al.  Shear waves in an infinite monoclinic crystal plate , 1986 .

[10]  Olav Holberg,et al.  COMPUTATIONAL ASPECTS OF THE CHOICE OF OPERATOR AND SAMPLING INTERVAL FOR NUMERICAL DIFFERENTIATION IN LARGE-SCALE SIMULATION OF WAVE PHENOMENA* , 1987 .

[11]  L. Knopoff.  The interaction between elastic wave motions and a magnetic field in electrical conductors , 1955 .

[12]  V. Sharma,et al.  Torsional waves in a magneto-viscoelastic layer over an inhomogeneous substratum , 2016 .

[13]  I. R. Mufti.  SEISMIC MODELING IN THE IMPLICIT MODE , 1985 .

[14]  Sarva Jit Singh,et al.  Reflection of P and SV waves at the free surface of a monoclinic elastic half-space , 2002 .

[15]  A. Zakharenko.  Analytical studying the group velocity of three-partial Love (type) waves in both isotropic and anisotropic media , 2005 .

[16]  A. Singh,et al.  The dispersion of shear wave in multilayered magnetoelastic self-reinforced media , 2010 .

[17]  P. Moczo,et al.  The finite-difference time-domain method for modeling of seismic wave propagation , 2007 .

[18]  A. M. Abd-Alla,et al.  Rayleigh waves in a magnetoelastic half-space of orthotropic material under influence of initial stress and gravity field , 2004, Appl. Math. Comput..

[19]  A. Singh,et al.  Effect of irregularity and heterogeneity on the stresses produced due to a normal moving load on a rough monoclinic half-space , 2014 .

[20]  Finite Difference Modeling of SH-Wave Propagation in Multilayered Porous Crust , 2008 .

[21]  Stuart Crampin,et al.  The Dispersion of Surface Waves in Multilayered Anisotropic Media , 1970 .

[22]  A. Chattopadhyay,et al.  The reflection phenomena of P-waves in a medium of monoclinic type , 1995 .

[23]  K. R. Kelly,et al.  SYNTHETIC SEISMOGRAMS: A FINITE ‐DIFFERENCE APPROACH , 1976 .

[24]  Vikash Kumar Sharma,et al.  Modeling of magnetoelastic shear waves due to point source in a viscoelastic crustal layer over an inhomogeneous viscoelastic half space , 2016 .