Investigation of the Thermoelastic Behaviour of Magneto-Thermo-Viscoelastic Rods Based on the Kelvin-Voigt Viscoelastic Model

In the classical linear viscoelastic framework, materials exhibit more significant creep and stress relaxation at high temperatures, making thermoviscoelastic analyses of materials essential in the design of some polymers. In this paper, a new generalized thermo-viscoelastic model is developed by introducing the Kelvin-Voigt theory of viscoelasticity, and the transient response of an elastic rod under the action of a magnetic field and a moving heat source is investigated in the context of the three-phase lag heat conduction model and the Eringen nonlocal theory. The Kelvin-Voigt model is used to characterize the viscoelastic behaviour of the rod, and the analytical solution is obtained by the Laplace transform and its numerical inverse transform to show the distribution trends of temperature, displacement, and stress of the rod in a graphical way. The effects of time, moving heat source speed, delay time, memory-dependent effects, viscosity, nonlocal effects, and magnetic field on temperature, displacement, and stress are also discussed in detail.