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<p>This study explores the propagation of Rayleigh waves in a self-reinforced elastic layer over a magneto-elastic orthotropic gravitating half-space with sliding contact at the interface. The governing electromagnetic field equations are derived by using Maxwell’s equations under the assumption of a perfectly electric conductor, neglecting the displacement current. Analytical solutions are obtained using the variable separation technique to decouple the governing partial differential equations. The dispersion equations governing Rayleigh wave motion are formulated by imposing appropriate boundary conditions and slip-dynamic relations at the interface. The impact of magnetic field, initial stress, layer thickness, density and sliding parameter on Rayleigh wave phase velocity is analyzed. Numerical analysis and graphical visualization are employed via <i>Mathematica</i> software to investigate the dependence of phase velocity on wavenumber under varying material properties and interface conditions. The study highlights the significant influence of sliding contact and magnetic field strength on wave propagation characteristics. This model finds relevance in analyzing wave dynamics within geomagnetic settings and layered geophysical media, as well as in the development of advanced materials incorporating reinforced layers subjected to electromagnetic and gravitational influences.</p>

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Dispersion analysis of Rayleigh waves in a self-reinforced layer over a magneto-elastic orthotropic substrate with a sliding interface

  • 期刊论文

  • 发表日期：

    2026年4月26日

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  • Anisha Kumari,
  • Santimoy Kundu,
  • Sushmita Mandal

摘要

This study explores the propagation of Rayleigh waves in a self-reinforced elastic layer over a magneto-elastic orthotropic gravitating half-space with sliding contact at the interface. The governing electromagnetic field equations are derived by using Maxwell’s equations under the assumption of a perfectly electric conductor, neglecting the displacement current. Analytical solutions are obtained using the variable separation technique to decouple the governing partial differential equations. The dispersion equations governing Rayleigh wave motion are formulated by imposing appropriate boundary conditions and slip-dynamic relations at the interface. The impact of magnetic field, initial stress, layer thickness, density and sliding parameter on Rayleigh wave phase velocity is analyzed. Numerical analysis and graphical visualization are employed via Mathematica software to investigate the dependence of phase velocity on wavenumber under varying material properties and interface conditions. The study highlights the significant influence of sliding contact and magnetic field strength on wave propagation characteristics. This model finds relevance in analyzing wave dynamics within geomagnetic settings and layered geophysical media, as well as in the development of advanced materials incorporating reinforced layers subjected to electromagnetic and gravitational influences.