Abstract

• Thermal boundary condition for generalized thermoelasicity is developed. • Different secular equations are derived which agree with existing literature. • Path of surface particles during Rayleigh wave propagation in orthotropic medium is elliptical. • Rayleigh wave velocity increases with the increase of wave number, initial stress and magnetic field. • Attenuation coefficient decreases with the increase of wave number, initial stress and magnetic field. The present article deals with Rayleigh surface wave propagation in homogeneous magneto-thermoelastic orthotropic medium. Effect of initial stress and magnetic field on Rayleigh waves is studied in the context of three-phase-lag model of generalized thermoelasticity. The normal mode analysis is used to obtain the exact expressions for the displacement components, stresses and temperature distribution. Various frequency equations are derived and compared with the existing literature. The path of surface particles is elliptical during Rayleigh wave propagation. Effect of phase-lags on Rayleigh wave velocity, attenuation coefficient and specific loss are presented graphically. It is observed from graphical presentation that the effect of magnetic field and initial stress on different wave characteristics is pronounced.

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