Plane waves in a fractional order micropolar magneto-thermoelastic half-space

• We model a fractional order generalized micropolar magneto-thermoelastic medium.
• The potential function approach along with Laplace and Fourier transforms is employed.
• Different field variables are obtained using a numerical inversion technique.
• Significant effects of fractional parameter, magnetic field and micropolarity are observed.
• Numerical results predict finite speed of propagation for thermoelastic waves.

This paper deals with the problem of magneto-thermoelastic interactions in an unbounded, perfectly conducting half-space whose surface suffers a time harmonic thermal source in the context of micropolar generalized thermoelasticity with fractional heat transfer allowing the second sound effects. The medium is assumed to be unstrained and unstressed initially and has uniform temperature. The Laplace–Fourier double transform technique has been used to solve the resulting non-dimensional coupled field equations. Expressions for displacements, stresses and temperature in the physical domain are obtained using a numerical inversion technique. The effects of fractional parameter, magnetic field and micropolarity on the physical fields are noticed and depicted graphically. For a particular model, these fields are found to be significantly affected by the above mentioned parameters. Some particular cases of interest have been deduced from the present problem. Numerical results predict finite speed of propagation for thermoelastic waves.