A new analysis method was developed to simulate the dynamic process of a frictional heat-stress coupled field. The relationship between the frictional heat and the thermal stress was investigated for concave cylinder contact conditions. The results show that, as a nonlinear contact problem, the frictional heat at the contact areas changes with moving velocity in both value and distribution, and that the transient frictional heat at the dynamic condition has a peak within a cycle. The dynamic process of friction heat and thermal stresses affects diffusion of the frictional effects. The result can be helpful for dynamic simulation of diffusion lubrication of elements at elevated temperatures. A new analysis method was developed to simulate the dynamic process of a frictional heat-stress coupled field. The relationship between the frictional heat and the thermal stress was investigated for concave cylinder contact conditions. The results show that, as a nonlinear contact problem, the frictional heat at the contact areas changes with moving velocity in both value and distribution, and that the transient frictional heat at the dynamic condition has a peak within a cycle. The dynamic process of friction heat and result can be helpful for dynamic simulation of diffusion lubrication of elements at elevated temperatures.