孔型轧制中金属三维变形的模拟

将双流函数法进行推广,设定出了对任意的孔型形状严格满足速度边界条件的速度场;并用若干相交平面代替入口刚塑性变界面使速度不连续条件得到满足;用罚函数法使体积不变条件得到满足;找到了一个用上界法模拟复杂孔型中金属三维变形的一般途径,提出了一个通用的速度场。以5和2角钢的切分孔轧制为例,进行了模拟计算和相应的物理模拟实验。求出了孔型的充满,变形区的形状,变形区内金属流线的形状,速度场,应变速率场,应力场以及轧制压力,前滑,延伸等参数。模拟计算值与实验值基本吻合。这种模拟复杂孔型中金属三维变形的一般方法,为CARD技术的进一步发展打下了基础。

Simulation of Three Dimensional Metal Deformation in Caliber Rolling

The dual-stream functions method is improved and applied to establish the velocity field which strictly satisfies velocity boundary conditions of arbitrary caliber configurations. The rigid-plastic interface at the entrance is replaced by several planes so that the velocity discontinuity condition at the entrance is satisfied. Penalty function algorithm is applied to make the incompressibity condition be satisfied. Then, in complex caliber rolling, a general method for the simulation of three dimensional metal deformation is found and a general velocity field which can be used in arbitrary three dimensional metal flow is formulated.