中文摘要：

定义一项板形控制效应描述指标——极限纵向塑性延伸应变差和两种区别反映板形控制行为的带钢平整轧制塑性变形状态——板形调控有效状态和板形调控饱和状态，应用ABAQUS有限元软件对平整轧制过程进行三维弹塑性建模及仿真研究，揭示带钢屈服强度对板形控制行为与效应的影响规律，解释高强／超高强度带钢平整轧制板形控制困难现象。带钢的极限纵向塑性延伸应变差与屈服强度呈正比例关系；当带钢宽度方向上压下量分布不均匀程度较小时，带钢处于板形调控有效状态；当带钢宽度方向上压下量分布均匀程度较大时，带钢处于板形调控饱和状态；当带钢处于板形调控有效状态时，压下量与前后张应力对纵向塑性延伸应变差分布影响很小，当带钢处于板形调控饱和状态时，压下量与前后张应力对纵向塑性延伸应变差分布有更明显影响。

英文摘要：

A new indicator is proposed that can describe flatness control effect--ultimate longitudinal plastic extension strain difference and the plastic deformation of strip in the rolling process is divided into two states according to the behavior of flatness control, active state and saturation of shape control. The temper rolling process is modeled by the nonlinear elastic-plastic finite element software called ABAQUS. The influence law of the yield strength of strip on the behavior and effect of flatness control is revealed. The difficulty in flatness control of high strength / ultra-high strength strip in temper rolling is interpreted. The relationship between the value of ultimate longitudinal plastic extension strain difference and yield strength of strip is directly proportional. When the reduction distribution in the width direction of strip is within a certain range, the plastic deformation of the strip is in active state of shape control. When the reduction distribution in the width direction of strip is over a certain range, the plastic deformation of the strip is in saturation of shape control. When the plastic deformation of the strip is in active state of shape control, reduction in the middle of strip and its front and backward tension all have little effect on the distribution of longitudinal plastic extension strain difference. When the plastic deformation of the strip is in saturation of shape control, reduction in the middle of strip and its front and backward tension all have effect on the distribution of longitudinal plastic extension strain difference.