Abstract
The generalized nonlocal thermoelastic model in the context of Eringen's nonlocal elasticity is applied to investigate the magnetothermoelastic interactions in a rod of finite length placed in a magnetic field with a moving source. With the use of the Laplace transform and numerical Laplace inversion techniques, the governing equations are solved, and the solutions in the time domain are obtained numerically. The distributions of the nonlocal thermal stress, temperature, and the displacement in the rod are obtained and presented graphically. The effects of the rotational speed and the speed of the moving heat source, nonlocal parameter, and the applied magnetic field intensity on the considered variables are discussed in detail.