Thomson effect with hyperbolic two-temperature on magneto-thermo-visco-elasticity

doi:10.1007/s10483-021-2763-7

Abstract

Abstract: The study considers a homogeneous isotropic thermo-visco-elastic solid with hyperbolic two-temperature to cope up with its two-dimensional (2D) deformations. The heat conduction equation is influenced by the Thomson coefficient. Lord-Shulman's theory is used to modify the basic governing equations. A method called "normal mode analysis" is utilized to attain the magnetic field, stress, conductive and thermodynamic temperature, and displacement components. Also, a number of numerical calculations are performed and discussed to understand the impact of hyperbolic two-temperatures, Thomson parameter, and viscosity on the material mentioned above.

Key words: thermo-visco-elasticity, magnetic field, hyperbolic two-temperature, Lord-Shulman's theory, Thomson coefficient, normal mode analysis

2010 MSC Number:

74B10

A. M. ALHARBI, M. I. A. OTHMAN, H. M. ATEF. Thomson effect with hyperbolic two-temperature on magneto-thermo-visco-elasticity. Applied Mathematics and Mechanics (English Edition), 2021, 42(9): 1311-1326.

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