SEEBECK EFFECT ON MAGNETO-THERMO-VISCOELASTIC HOMOGENEOUS ISOTROPIC HOLLOW CYLINDER WITH GREEN-NAGHDI THEORY
In this paper, the effect of the magnetic field and Seebeck parameter is investigated. Modified Ohm’s law that includes effects of the temperature gradient (Seebeck effect), charge density and generalized Fourier’s law with current density, is used for the problem of conveyance of thermal stresses and temperature in a generalized magneto-thermo-viscoelastic solid cylinder of radius L. The outside of the chamber is thought to be free traction and exposed to a constant thermal shock. The formulation is applied to the generalized thermo- elasticity dependent on the Green-Naghdi (G-N II) hypothesis, where there is an underlying magnetic field corresponding to the plane limit, because of the utilization of the magnetic field, it results to an actuated magnetic and electric field in the medium. The Laplace change system is utilized to solve the problem. Solutions of the problem in the physical space are gotten by utilizing a numerical technique for MATLAB programmer and the expressions for the temperature, strain and stress are acquired. Numerical calculations are done for a specific material for outlining the outcomes. Finally, the outcomes are introduced graphically to show the impact of magnetic field and time on the field variables.
thermal stress, generalized magneto-thermo-viscoelastic, solid cylinder, thermal shock, Laplace transform technique, modified Ohm’s and Fourier’s laws.