金属压力加工问题的流函数速度模式上限解

Upper-Bound Solution of Metal forming Problem with the Flow Function Velocity Model

采用流函数法构造了塑性变形金属流动的完备速度模式，对Ｍｉｓｅｓ材料平面变形和轴对称变形问题，提出并推证了运动可能速度场应满足的力学边界条件一“边界切应力”约束方程。将求解与运动可能速度相对应的应力场归结为确定一点静水压力的问题，实现了由上限法确定问题的完全解。应用这一理论对锥模拔管问题进行了计算分析。

The complete velocity model for plastic metal is structured with flow function.The boundary tear stress condition, which should be met by the velocity field of the Mises material plan or axisymmetrical deformation, is raised. The stress field corresponding the velocity could be obtained by the resolution of one point uniform stress and the answer for tube drawing process is ascertained with this sort of theorem.