The Multi-field Coupled Behavior Analysis For Elastic Media Considering The Effect Of Heat Wave

The governing equation of temperature field for the classical thermoelasticity theory is of the diffusion type predicting infinite speed of propagation for heat wave which is contrary to physical observations.The Fourier law that describes the relation between heat flux and temperature gradient is no longer suitable in transient heat propagation.To eliminate the paradox inherent in the classical theories,the generalized thermoelastic theories were developed in attempt to amend the classical thermoelasticity.Lord and Shulman(L-S) introduced one thermal relaxation time and Green and Lindsay(G-L) introduced two to establish generalized thermoelastic theory respectively.Both theories can characterize heat disturbance propagating with finite velocity in medium,which is so called second sound effect.Based on Lord and Shulman generalized thermoelastic theory,a coupled problem in thermoelasticity for a rotating infinitely long cylinder is studied in this paper.The generalized thermoelastic coupled governing equations of L-S type are given.The problem is solved by means of Laplace transform and numerical Laplace inversion. The distributions of temperature,stress and displacement in the rotating infinitely long cylinder subjected to a thermal shock are carried out and represented graphically. From the distributions,it can be found the heat wave effect and thermoelastic coupled effects.And it also can be found that rotation acts to significantly increase the magnitudes of displacement and stress,and insignificantly affect the magnitude of temperature.The Lord and Shulman generalized thermoelastic theory is used to study a two-dimensional coupled problem in electromagneto-thermoelasticity for a thermally and electrically conducting half-space solid whose surface is subjected to a time-dependent heat.There acts an initial magnetic field parallel to the plane boundary of the half-space.The medium deforms because of the applied heat,and due to the application of the magnetic field,there results an induced magnetic field and an induced electric field in the medium.The Maxwell's equations are formulated and the electromagneto-thermoelastic coupled governing equations are established.The normal mode analysis is used to obtain the exact expressions for the considered variables.The distributions of the considered variables are represented graphically.Based on Green and Lindsay's generalized thermoelasticity theory with two relaxation times,a two-dimensional coupled problem in electromagneto-thermoelasticity for a rotating half-space solid whose surface is subjected to a heat is studied in this paper.There acts an initial magnetic field parallel to the plane boundary of the half-space.The medium deforms because of the applied heat,and due to the application of the magnetic field,there results an induced magnetic and an induced electric field in the medium.The Maxwell's equations are formulated and the electromagneto-thermoelastic coupled governing equations are established. The normal mode analysis is used to obtain the exact expressions for the considered variables.The distributions of the considered variables are represented graphically. From the distributions,it can be found the wave type heat propagation and electromagneto-thermoelastic coupled effect in the medium,and it also can be found that rotation acts to significantly decrease the magnitude of the real part of displacement and stress and insignificantly affects the magnitude of temperature and induced magnetic field.