Memory response on wave propagation in a micropolar magneto-thermo-viscoelastic half-space

Abstract

The present analysis reports the Kelvin–Voigt-type magneto-thermo-viscoelastic interactions in a thermally conducting unbounded half-space whose surface is subjected to time-harmonic thermal source in the context of micropolar thermoelasticity, being enlightened by memory-dependent derivative (MDD) in the context of three-phase (3P) lag model. The bounding plane of the half-space is stress-free and is subjected to a prescribed temperature distribution. Employing the Laplace transform and Fourier transforms, analytical results for the distributions of the thermophysical quantities have been derived in the transformed domain. The numerical inversions of the respective transforms have been carried out using a suitable numerical scheme based on Fourier series expansion technique. Numerical computations for the stresses, displacement and temperature within the medium have been carried out and also have been demonstrated graphically. Since, micropolar elasticity allows better results to be obtained for microstructural and singular domains as compared to the classical theory of elasticity, therefore, the investigations outline how the micropolarity, magnetic field and viscoelastic parameters influence the thermophysical quantities of the half-space to determine the microstructural changes within the body. Moreover, significant differences on the thermophysical quantities are revealed due to the influence of memory effect and time-delay also, which helps to determine the past effects to the present.