Abstract: The roll surface experiences severe thermal circulation during the laser strengthening.Due to the concentration of the temperature field,the stress on the roll surface changes dynamically,and the transient distribution within the laser spot is mainly compressive.Furthermore,as the change of the specific volume of the micro-structure,the residual stress distribution after the laser treatment is very complicated.As a result,it is very difficult to measure the stress distribution experimentally.So it is a reasonable choice to simulate the distribution with the numerical method.