Dynamic Response Of Generalized Electromagneto-thermoelastic Diffusive For An Infinitely Long Rotating Cylinder

The heat conduction equation of temperature field in the classical coupled thermoelastic theory which proposed by Biot is of diffusion type. Due to the inherent properties of the equation, it predicts an infinite speed for heat propagating in elastic medium, which is contrary to common sense and is not in accord with true physical experiments. To eliminate such inherent paradox in the classical theories, different generalized thermoelastic theories were developed in attempt to amend the classical thermoelasticity. At present, Lord and Shulman (L-S) introduced one thermal relaxation time and Green and Lindsay (G-L) introduced two to establish generalized thennoelastic theory respectively. Both theories which are widely adopted in application can not only characterize heat disturbance propagating with finite velocity in medium which is so called second sound effect, but also the coupling effect between the deformation field and the temperature field.Diffusion can be defined as the random walk of material particles from regions of high concentration to regions of lower concentration. Normally, the mass concentration distribution is calculated by Fick’s law. Recently, Sherief et al. proposed the generalized thermoelastic diffusion theory based on L-S theory and Fick’s law. This theory overcomes the defect of Fick’s law, and can be used to describe not only the coupling effects among diffusion field, deformation field and temperature field, but also the nature of these three fields propagating as wave with finite speed.Based on the generalized thermoelastic diffusion theory, the dynamic response of generalized electromagneto-thermoelastic diffusive for an infinitely long rotating hollow cylinder are analyzed and discussed respectively by using Laplace transform numerical method in this paper. The following two concrete problems are investigated in this work, including:Investigating the dynamic response of generalized electromagneto-thermoelastic diffusion for an infinitely long hollow cylinder rotating problem by using Laplace transform and inverse transform method. And the considered physical variables are obtained. The results show that the rotating effects have significant influence to the displacement, stress and induced magnetic, and have little influence to the temperature, chemical and concentration.