提出了在接近变形区入口处附加一列超薄单元来处理刚塑性有限元法解析平辊轧制过程时第一类奇异点的新方法，并从理论上进行了解释。参照轧制钢板、铝板等不同条件进行了相应的模拟计算，计算精度有所提高。该方法还具有使编程简化的优点。 A new method to deal with the first singular point in the flat roll process by adding a row of ultrathin elements near the entrance to the deformation zone is proposed and theoretically explained. With reference to the different conditions of rolled steel, aluminum and other corresponding simulation calculations, the calculation accuracy has increased. This method also has the advantage of simplifying programming.