Analysis of phase lag effect in generalized magneto thermoelasticity with moving heat source

Abstract

Presence of phase lags is found to be very efficient for predicting the realistic outcomes of the real world problems. The concept of phase lags exhibits the finite speed of thermal waves which is contrary to the concept of paradox of heat conduction. Present work is devoted to investigate the role of phase lags in the problem of magneto thermoelasticity with moving heat source inside a half-space medium. The governing equations are being developed in the context of generalized thermoelasticity involving three phase lags. A thermal shock has been applied on the traction free boundary of the medium. The Laplace transform technique has been employed for finding the analytical solutions. Physical variables such as temperature, displacement as well as stress have been determined in the time-domain. Computational results have been derived to predict the influence of the effective parameters such as phase lags and velocity of the heat source on the physical variables at different values of time.