联合上限法和主应力法确定模具表面压力分布的研究（Ⅰ）

Study on Determination of Pressure Distribution over Tool Surface by Combining Upper Bound Method with Slab Method (Ⅰ)

提出了一种联合上限法（ｕｐｐｅｒｂｏｕｎｄｍｅｔｈｏｄ）和主应力法（ｓｌａｄｍｅｔｈｏｄ）确定模具与金属接触表面压力分布的方法．这是一种基于利用上限法确定金属流动和变形区，然后根据主应力法原理计算接触面压力分布的方法，简称ＵＢＭ／ＳＭ联合法．这种方法比其它方法简便，而且能给出计算压力分布的解析式．阐述了该法的基本原理，并用它计算杯形件反挤时凸凹模表面的压力分布．

The pressure distribution over tool in the forward extrusion of the cylindrical billet and the upsetting-extrusion of the cross forging is calculated by the combined UBM/SM approach suggested in the former paper[1].The obtained results are in good agreement with the experimentally determined results.