为计算高速线材精轧阶段椭圆圆孔型系统的非均匀变形程度，分析了等效矩形法的基本原理，发现两等效矩形间的相交矩形面积是求解等效应变的关键。假设孔型入口、出口轧件断面均为椭圆，并忽略切应变，由此提出了一种不进行矩形转换而求解等效应变的新方法，称为相交面积法（简称OA法）。为检验OA法的有效性，将其应用于6.5 mm线材精轧的温升计算。计算结果与实测温升符合较好，相对误差小于10％。利用计算数据回归了精轧机组道次累积总温升和入口温度的关系模型。结果表明：总温升随入口温度的降低而近似线性地升高。
In order to calculate the inhomogeneous deformation in ovalround pass sequence of wire rolling, the principle of the equivalent rectangular approximation method was adopted. It was found that the overlapping area between the two equivalent rectangular sections is the key factor to solve the effective strain. The stock sections at entry and at exit were supposed to be oval and the shear strains were ignored. Then a new analytic method called OA (Overlapping Area) method without using rectangular sections conversion to solve the effective strain was proposed. To valid the OA method, the temperature jump during finish rolling of 6.5 mm wire was calculated. The results show that the calculated accumulative temperature jump was in good agreement with the measured ones with a maximum relative error less than 10%. A regression model for the relationship between total temperature jump and entry temperature was thus obtained. The model shows that total temperature jump almost increases linearly with decreasing entry temperature.
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