提出一种同辊径异步轧制过程中计算金属薄带最小厚度的新方法，其要点是联解采利柯夫轧制压力公式和修正后的希区柯克轧辊压扁公式，同时为了避免极薄带轧制过程中弹性变形对秒流量的影响，采用质量守恒定律计算接触弧长中前滑区、后滑区和搓轧区的比例，推导出用于计算异步轧制最小厚度方程。通过异步轧制实验研究304不锈钢在异速比为1.05、1.15和1.30条件下可获得的金属薄带最小厚度值，并与理论计算值进行对比，结果表明，最小厚度的实验值与理论计算结果吻合较好，验证了异步轧制最小厚度方程的正确性。
A novel approach is proposed for computing the minimum thickness of a metal foil that can be achieved by asymmetric rolling using rolls with identical diameter. This approach is based on simultaneously solving Tselikov equation for the rolling pressure and the modified Hitchcock equation for the roller flattening. To minimize the effect of the elastic deformation on the equal flow per second during the ultrathin foil rolling process, the law of conservation of mass was employed to compute the proportions of the forward slip, backward slip, and the cross shear zones in the contact arc, and then a formula was derived for computing the minimum thickness for asymmetric rolling. Experiment was conducted to find the foil minimum thickness for 304 steel by asymmetric rolling under the asymmetry ratios of 1.05, 1.15 and 1.30. The experimental results are in good agreement with the calculated ones. It was validated that the proposed formula can be used to calculate the foil minimum thickness under the asymmetric rolling condition.
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