Micropolar generalized magneto-thermoelasticity with modified Ohm's and Fourier's laws

摘要

In this work, we introduce the modified Ohm's law, including the temperature gradient and charge density effects, and the generalized Fourier's law, including the current density effect, to the equations of the linear theory of micropolar generalized magneto-thermoelasticity, allowing the second sound effects. A normal mode analysis is applied to obtain the exact formulas of temperature, displacement, micro-rotation, stresses, couple stresses, electric field, magnetic field and current density. Application is employed to our problem to get the solution in the complete form. The considered variables are presented graphically and discussions are made.