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以往的作者们(见[1])以为按最小阻力条件,塑压中之流动方向为最短法线方向,从而计算压力分布曲面,如图一、二所示。 这一理论目前已动摇,新起的理论放弃此一规律,例如塔尔羅夫斯基的定性理论及其在锻方块中之应用,如图三所示。三十年代中曾有齐别尔的实验摩擦线,但被认为或可(Probable)的綫族,本文作者之一指出此一綫族性质之正确性,并开拓了新的连续压力分布理论。 如刘叔仪指出,最短法綫规律的错误乃因最小阻力条件未被正确应用。本文目的在於正确应用此一条件作出一新规律,从而得到辊轧中之最小阻力摩擦綫族,性质类似齐别尔的綫族。在有不滑动区域存在时,根据本文及应力空间理论定出此区之边界綫。
Previous authors (see [1]) thought that the flow direction in plastic pressure should be the shortest normal direction according to the minimum resistance condition, so as to calculate the pressure distribution surface, as shown in Fig.1 and Fig.2. This theory has now been shaken. The new theory abandons this law, such as Tarovsky’s qualitative theory and its application in forging blocks, as shown in Figure III. In the 1930s, Ziebel’s experimental friction line was used, but Probable’s lineage was considered. One of the authors of this article pointed out the correctness of this lineage’s nature and pioneered a new theory of continuous pressure distribution. For example, Liu Shuyi pointed out that the error of the shortest law of normal is not correctly applied due to the condition of least resistance. The purpose of this paper is to correctly apply this condition to make a new law, so as to get the line of the friction line with the smallest resistance and the same kind of Qirbal. In the presence of non-slip regions, the boundaries of this region are defined according to this paper and the stress-space theory.