A numerical method was used to study the relationship between the dynamic radial stress and the expanding velocity at a cavity wall in metal materials. The simulation results of the elastic-perfectly plastic and power-law model satisfied the theories' that proves the availability of the method. Then the influences of the strain-rate and adiabatic effects of the materials were analyzed by simulation. The results show that the predictions of penetration with the strain-rate and thermal effects of the materials corresponded well with the experiments. The penetration resistance will be overvalued if the thermal effects were neglected, resulting in slightly lower penetration prediction. The predictions of Warren's theory model are less than the experiments made in the current study because Warren's theory model accumulated the errors from compressibility but ignored the thermal softening.