Refined multi-phase-lags theory and Thomson effect on a micropolar thermoelastic medium with voids

Abstract

The problem considered is that of an isotropic, micropolar thermoelastic medium with voids subjected to the Thomson effect. The solution to the problem is presented in the context of the refined multi-phase-lags theory of thermoelasticity. The normal mode analysis was used to obtain the analytical expressions of the considered variables. The non-dimensional displacement, temperature, microrotation, the change in the volume fraction field and stress of the material are obtained and illustrated graphically. The variations of these quantities have been depicted graphically in the refined-phase-lag theory, Green and Naghdi theory of type II, Lord and Shulman theory and a coupled theory. The effects of the Thomson parameter and phase lag parameters on a homogeneous, isotropic, microp-olar thermoelastic material with voids are revealed and discussed. Some particular cases of interest are deduced from the present investigation.