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本文采用基于Coulomb摩擦定律的滑动摩擦和粘着摩擦作为边界条件,用刚塑性有限元法对平辊轧制进行了分析。用刚塑性有限元法进行二维分析所得边界上的摩擦情况和用弹塑性有限元法所得的结果一致。将此方法推广到平辊轧制的三维分析,计算了在边界面上位于中性线附近的粘着区和相对滑动速度矢量偏离粘着区的滑动区的面积。当坯料的宽厚比小时,宽度方向的粘着区减小而相对滑动速度增大,这些结论和现有的轧制理论一致。
In this paper, sliding friction and adhesion friction based on the Coulomb friction law are used as the boundary conditions. Rigid-plastic FEM is used to analyze the flat roll rolling. The friction on the boundary obtained by two-dimensional analysis of the rigid-plastic finite element method is consistent with that obtained by the elasto-plastic finite element method. This method is generalized to the three-dimensional analysis of flat roll rolling. The area of the adhesion zone near the neutral line on the boundary surface and the sliding zone where the relative slip velocity vector deviates from the adhesion zone are calculated. When the aspect ratio of the blank is small, the width of the adhesive zone decreases and the relative sliding speed increases. These conclusions are consistent with the existing rolling theory.