This paper has developed a numerical strategy for predicting the interface stresses in metal strip rolling at a small reduction. Key rolling factors such as the roll elasticity, fluid lubrication, random asperity contacts, asperity-lubricant interaction, rolling speed and reduction were comprehensively integrated into the numerical analysis. The random asperity contact at the roll-strip interface was addressed by a statistical approach with considering the elastoplastic deformations of surface asperities. A transient average Reynolds equation was utilised to deal with the fluid flow subjected to the interruptions caused by the asperity contacts. With the aid of a dynamic explicit finite element analysis, a novel modularised strategy was established to systematically accommodate the mathematical models governing the above key rolling factors, which allows the affordable computation and the effective predictions of contact characteristics in the strip rolling. It was found that both the lubrication and microscale asperity contacts disturb considerably the contact stresses at the rolling interface, and that a proper selection of rolling conditions can reasonably regulate the stresses.

本文开发了一种数值策略，用于预测小压下金属带轧制中的界面应力。关键轧制因素，如轧辊弹性、流体润滑、随机粗糙接触、粗糙-润滑剂相互作用、轧制速度和压下量被综合纳入数值分析。考虑到表面粗糙的弹塑性变形，通过统计方法解决了轧带界面处的随机粗糙接触。瞬态平均雷诺方程被用来处理流体流动受到由粗糙接触引起的中断的影响。借助动态显式有限元分析，建立了一种新颖的模块化策略，以系统地适应控制上述关键滚动因素的数学模型，这允许负担得起的计算和有效预测带钢轧制中的接触特性。已经发现，润滑和微观的垂体接触都极大地打扰了滚动界面处的接触应力，并且正确选择滚动条件可以合理地调节应力。