Characteristics of Rayleigh wave propagation in orthotropic magneto-thermoelastic half-space: An eigen function expansion method

Abstract

• This problem is more general as other problem with different thermoelastic models. • Effect of phase lag due to heat flux vector is more dominating in comparison with other phase lags. • The secular equation magnitude increases with an increasing of wave number. • Rayleigh wave velocity increases with the increase of wave number and magnetic field. • The attenuation coefficient decreases with the increase of wave number and magnetic field. In this article, we theoretically demonstrate the characteristics of Rayleigh surface wave propagation in a homogeneous and orthotropic thermoelastic half-space in the context of three-phase-lag model of generalized thermoelasticity. The influence of magnetic field on Rayleigh wave is analyzed in the framework of two-temperature model. A vector matrix differential equation is formed by employing normal mode analysis, which is then solved by the eigen function expansion method. The frequency equations in closed form are derived and the path of surface particles during Rayleigh wave propagation is found to be elliptical. The results show appreciable differences in phase velocity, attenuation coefficient and specific loss due to the presence of heat-flux phase-lag and is more dominating in comparison with other phase lags.