<p>The present paper investigates the effects of magnetic and micropolarity on the propagation of Lamb, Rayleigh and flexural waves in generalized magneto-piezoelectric thermo-microstretch material. The thermoelastic theory without energy dissipation is used and the secular equations of the Lamb waves for both symmetric and anti-symmetric modes of vibration in the medium of finite thickness subject to suitable boundary conditions are derived. At short wavelength limits, the secular equations reduce to that of Rayleigh waves due to the nature of a semi-infinite medium. The secular equation of the anti-symmetric vibration reduces to the secular equation of flexural waves for longer wavelengths comparable with thickness of the medium. The phase speeds and attenuation coefficients are computed numerically from these secular equations using Aluminum epoxy material and the results are presented graphically. The numerical results have shown the simultaneous existence of three modes of dispersion and attenuation for Lamb, Rayleigh and flexural waves. The effect of magnetic field intensity and micropolarity on the phase speeds and attenuation of the three modes are noted. The path of particle motion for all three modes of Lamb, Rayleigh and flexural waves are evaluated analytically and numerically at different depths of the medium. Some special cases are reduced from the current formulation to validate our results.</p>

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Surface waves in magneto-piezoelectric thermo-microstretch material without energy dissipation

  • Sanjay Debnath,
  • S. Sarat Singh,
  • Holm Altenbach

摘要

The present paper investigates the effects of magnetic and micropolarity on the propagation of Lamb, Rayleigh and flexural waves in generalized magneto-piezoelectric thermo-microstretch material. The thermoelastic theory without energy dissipation is used and the secular equations of the Lamb waves for both symmetric and anti-symmetric modes of vibration in the medium of finite thickness subject to suitable boundary conditions are derived. At short wavelength limits, the secular equations reduce to that of Rayleigh waves due to the nature of a semi-infinite medium. The secular equation of the anti-symmetric vibration reduces to the secular equation of flexural waves for longer wavelengths comparable with thickness of the medium. The phase speeds and attenuation coefficients are computed numerically from these secular equations using Aluminum epoxy material and the results are presented graphically. The numerical results have shown the simultaneous existence of three modes of dispersion and attenuation for Lamb, Rayleigh and flexural waves. The effect of magnetic field intensity and micropolarity on the phase speeds and attenuation of the three modes are noted. The path of particle motion for all three modes of Lamb, Rayleigh and flexural waves are evaluated analytically and numerically at different depths of the medium. Some special cases are reduced from the current formulation to validate our results.