Memory dependent magneto-thermoelastic interaction in a rotating medium based on refined multi-phase-lag model

Abstract

This article deals with the problem of wave propagation in a two-dimensional rotating medium under the influence of magnetic field based on refined multi-phase-lag model of thermoelasticity theory with memory-dependent derivative. The classical thermoelasticity theory, Lord-Shulman theory, Green-Naghdi IItheory and simple phase lag theory may be established as special cases of the refined multi-phase-lag thermoelasticity theory. A non-Gaussian laser beam is used to heat the bounding plane surface. Laplace and Fourier transform techniques are used to generate analytical formulae for several physical quantities onthe transformed domain. Using MATHEMATICA 10, the inversion of double transform has been performed numerically. Zakian method is used for the numerical inversion of Laplace transform. In order to demonstrate the effect of rotation, magnetic field and different kernel functions on all the main quantities such as displacements,temperature and stresses, the quantities are computed numerically and presented graphically for Lord-Shulman model with memory dependent derivative.