Effect of magnetic field on a thermoviscoelastic body via a refined two-temperature Lord–Shulman model

This paper aims to modify the generalized thermoelasticity theory of Lord–Shulman. Higher-order time-derivative terms are incorporated to get accurate field variables. The refined theory is employed to examine the inclusion of a magnetic field, a two-temperature parameter, and the viscoelastic effects on a thermoelastic medium with two temperatures. The problem has been solved analytically and numerical data have been obtained by utilizing the normal mode technique. The analytic expressions of the displacements, stresses, dilatation, thermodynamic and conductive temperatures are outlined and investigated. The outcomes are reported for future comparison, and some are presented graphically in 2D and 3D plots. Comparisons with the existing literature due to the classical coupled and simple Lord–Shulman thermoviscoelasticity theories are made. The effects of many parameters are discussed.