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本文主要利用求解平面流动问题的滑移线理论,分析轧制高轧件(■/l≥1)时轧件中的应力分布问题。并给出关于各种不同情况构造滑移线网格和进行实际工程计算所必须的数据,以及探讨具体地构造滑移线场的方法。应用具有不对称的双中心扇形区域的滑移线场,求解轧制高轧件时的平均单位压力,在现有文献中曾有过研究,由于轧制过程的前、后不对称性,应力需在塑性区的两边分别满足不同的边界条件,从而使得具体条件下的滑移线网格的构造变得十分复杂。不给出一定的参考数据,在实际上构造滑移线网格将是很困难的。这是在现有的文献中尚末很好解决的问题。此外,在平均单位压力的计算上,М·я·БРовман在文献(1)中所给的曲线不够准确。对于接触角α为20°和30°的情况,所给的比值■/2k 的临界值还比较接近但与该临界值相对应的此值 l/hc(hc 即为本文中的■),同接触角α=0时的相应的值相等(甚至还小些),这是不正确的。可见,他所给出的计算平均单位压力的曲线是不准确的。本文针对上述情况,提出了作者的分析结果。
In this paper, we mainly use the slip-line theory to solve the plane flow problem to analyze the stress distribution in the rolling of high-rolling (■ / l≥1) rolling. The data necessary for constructing slip line grids and actual engineering calculations are given in various situations, and the methods for constructing slip line fields are discussed. The use of a slip-line field with an asymmetric biccentric fan-shaped area to solve the average unit pressure in rolling high-rolling has been studied in the literature because of the asymmetry of the front and rear of the rolling process, the stress It is necessary to meet different boundary conditions on both sides of the plastic zone respectively so that the structure of the slip line grid under specific conditions becomes very complicated. Without giving some reference data, it will be very difficult to construct a slip-line grid in practice. This is a problem that has not been solved well in the existing literature. In addition, the curve given by M. я · БРовман in literature (1) is not accurate enough in the calculation of the average unit pressure. For the case of the contact angle α of 20 ° and 30 °, the critical value of the given ratio ■ / 2k is still relatively close but the value l / hc corresponding to the critical value (hc is ■ in the text) The corresponding values for the contact angle α = 0 are equal (even smaller), which is not correct. Visible, he gives the calculation of the average unit pressure curve is not accurate. In view of the above situation, this paper presents the author’s analysis results.