The effects of rotation and gravity on an electro-magneto-thermoelastic medium with diffusion and voids in a generalized thermoplastic half-space are studied by using the Lord-Shulman (L-S) model and the dual-phase-la...The effects of rotation and gravity on an electro-magneto-thermoelastic medium with diffusion and voids in a generalized thermoplastic half-space are studied by using the Lord-Shulman (L-S) model and the dual-phase-lag (DPL) model. The analytical solutions for the displacements, stresses, temperature, diffusion concentration, and volume fraction field with different values of the magnetic field, the rotation, the gravity, and the initial stress are obtained and portrayed graphically. The results indicate that the effects of gravity, rotation, voids, diffusion, initial stress, and electromagnetic field are very pronounced on the physical properties of the material.展开更多
The fundamental objective of this paper is to study the effectiveness of magnetic field and gravity on an isotropic homogeneous thermoelastic structure based on four theories of generalized thermoelasticity.In another...The fundamental objective of this paper is to study the effectiveness of magnetic field and gravity on an isotropic homogeneous thermoelastic structure based on four theories of generalized thermoelasticity.In another meaning,the models of coupled dynamic theory(CDT),Lord-Shulman(LS),Green-Lindsay(GL)as well as Green-Naghdi(GN II)will be taken in the consideration.Then,applying the harmonic method(normal mode technique),the solution of the governing equations and the expressions for the components of the displacement,temperature and(Mechanical and Maxwell’s)stresses is taken into account and calculated numerically.The impacts of the gravity and magnetic field are illustrated graphically which are pronounced on the different physical quantities.Finally,the results of some research that others have previously obtained may be found some or all of them as special cases from this study.展开更多
This paper aimed to study the effect of electromagnetic field on general model of the equations of the generalized thermoelasticity reinforcement of the deformation of a micropolar generalized thermoelastic medium.The...This paper aimed to study the effect of electromagnetic field on general model of the equations of the generalized thermoelasticity reinforcement of the deformation of a micropolar generalized thermoelastic medium.The phenomenon is in the context of the couple theory(C-D),Lord-Shulman(L-S)and Green-Lindsay(G-L)as well as the Dual-Phase-Lag(DPL)models.The normal mode technique is used to find the exact expressions components of displacement,force stress,and temperature.The modifications of the considered variables with the horizontal distance are illustrated graphically to show the distance values that reduce to the variables interrupt.Comparisons are made with the results in the absence and presence of electromagnetic field for the general of reinforcement on the total deformation of a micropolar thermoelastic medium.The results obtained are calculated numerically and displayed by the graphs to show the effect of the entered new parameters on the phenomena.展开更多
文摘The effects of rotation and gravity on an electro-magneto-thermoelastic medium with diffusion and voids in a generalized thermoplastic half-space are studied by using the Lord-Shulman (L-S) model and the dual-phase-lag (DPL) model. The analytical solutions for the displacements, stresses, temperature, diffusion concentration, and volume fraction field with different values of the magnetic field, the rotation, the gravity, and the initial stress are obtained and portrayed graphically. The results indicate that the effects of gravity, rotation, voids, diffusion, initial stress, and electromagnetic field are very pronounced on the physical properties of the material.
文摘The fundamental objective of this paper is to study the effectiveness of magnetic field and gravity on an isotropic homogeneous thermoelastic structure based on four theories of generalized thermoelasticity.In another meaning,the models of coupled dynamic theory(CDT),Lord-Shulman(LS),Green-Lindsay(GL)as well as Green-Naghdi(GN II)will be taken in the consideration.Then,applying the harmonic method(normal mode technique),the solution of the governing equations and the expressions for the components of the displacement,temperature and(Mechanical and Maxwell’s)stresses is taken into account and calculated numerically.The impacts of the gravity and magnetic field are illustrated graphically which are pronounced on the different physical quantities.Finally,the results of some research that others have previously obtained may be found some or all of them as special cases from this study.
文摘This paper aimed to study the effect of electromagnetic field on general model of the equations of the generalized thermoelasticity reinforcement of the deformation of a micropolar generalized thermoelastic medium.The phenomenon is in the context of the couple theory(C-D),Lord-Shulman(L-S)and Green-Lindsay(G-L)as well as the Dual-Phase-Lag(DPL)models.The normal mode technique is used to find the exact expressions components of displacement,force stress,and temperature.The modifications of the considered variables with the horizontal distance are illustrated graphically to show the distance values that reduce to the variables interrupt.Comparisons are made with the results in the absence and presence of electromagnetic field for the general of reinforcement on the total deformation of a micropolar thermoelastic medium.The results obtained are calculated numerically and displayed by the graphs to show the effect of the entered new parameters on the phenomena.