A study on the reflection of quasi Rayleigh waves in a magneto self reinforced thermoelastic medium with fractional order derivative
Tóm tắt
This research looks into a comprehensive investigation of the propagation of quasi Rayleigh waves on the free surface of a self-reinforced thermoelastic medium, considering the presence of fractional order derivatives. The study employs a diverse range of mathematical techniques, including Laplace transformation, harmonic solution, substitution method, and fractional derivative method, to obtain the required solution. By leveraging these methodologies, the researchers successfully derive a solution that captures the essence of the problem at hand. To ensure dimensional consistency of the fractional order thermoelastic parameters, a contemporary dimensionless parameter is introduced in the epitomized heat conduction equation. In addition, the hypothesis of specific heat and penetration depth is introduced and elucidated through visually appealing graphs. These graphical representations offer valuable insights into the nature of quasi Rayleigh waves in self-reinforced thermoelastic diffusion media featuring fractional order derivatives.
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