有鼓形平板锻造的应变速率矢量分析解法

Solution to Rectangular Slab Forging with Bulge between Two Parallel Platens Using Strain Rate Vector Analysis

该文开发了一种应变速率矢量的线性化积分方法.首先将有鼓形平板锻造等效应变速率表示成二维应变速率矢量,化为矢量内积后进行逐项积分;其次将逐项积分结果求和并引进鼓形参数计算公式,进而得到应力影响因子的解析解.结果表明,上述线性积分方法所得到的功率表达式与传统直接积分法的表达式相同.按该公式计算的总锻造力与按Avitzur公式计算的结果基本一致,两者比压缩试验的测量值高4.2%.

A linear integration of strain rate vector is developed. First, effective strain rate for slab forging with bulge is expressed in terms of two-dimensional strain rate vector. Its inner-product is integrated term by term. Second, sum of the integrated results is obtained, and an analytical solution to the stress factor obtained from a bulge formula. It turns out that the expression of power by the above inner-product integration is the same as that of the traditional immediate integration. Also, the calculated result of total forging pressure by formula in the present paper is in general agreement with that by Avitzur＇s formula, both 4.2% higher than the measured value in a press test.