Effect of temperature dependency in a onedimensional two-temperature magneto-thermoelastic problem due to the influence of modified Ohm’s law

Abstract

The objective of this paper is to analyze, the effect of modified Ohm’s law, two-temperature, and
temperature-dependent material properties in the generalized thermoelastic problems under the influence of
the magnetic field. A one-dimensional generalized magneto-thermoelastic problem with one relaxation time
is considered. For solving the problem, the normal mode method is used. Two separate cases are considered
and the surface is subjected to thermal shock. The surface is considered to be free of traction in the first case,
while the surface is laid on a strong foundation in the second case. Numerical results for the distribution of
conductive temperature, thermodynamic temperature, displacement, stresses, and magnetic field are obtained
for different values of two temperature parameters, the coefficient of modified Ohm’s law, and presented
graphically. The graphical results show a comparison in two distinct cases of boundary conditions.