对平面变形的正反向挤压问题建立运动许可的连续速度场并获得上界解析解。
A kinematically admissible continuous velocity field is established and applied to the plane strain in reversible extrusion.
该解与以运动许可的三角形速度场得到的上界解进行比较表明，有时本解法可得到更低的上界值。
Compared with that using a kimematically admissble triangular velocity field, the solution can give enen lower values than that of a kimematically admissble triangular velocity field sometimes.
本文重点对如何得到下一时刻的可行解进行了研究，指出了衰减系数的上界应满足的条件；
The paper emphasizes on how to get the feasible solution at next time and gives the condition that the decaying coefficient should satisfy.
文中还推演出主、次上界与等效静力解之间的一个十分简明的理论关系式。
Besides, a simple relationship between the upper bounds and the equivalent static solution is fouand.
给出了当初始能量小于“临界值”时方程解的生命跨度的上界估计。
And the super estimate of this lifespan is given when the initial energy of this equation is less than "critical value".
入口截面不消耗剪切功率，然后用上界定理与曲面积分方法首次得到了用余弦模拉拔方棒时变形力的解析解。
Then with the upper-bound theorem and the surface integral an analytical solution of the drawing stress was first obtained.
由于该方法易陷入局部最优解，提出了一种基于混合遗传算法求解LOO上界极小点的核参数选择方法。
Usually, the steepest descent algorithm is used to find the minimum of LOO upper-bound. However, it often gets local optimal solution.
文中还推演出主、次上界与等效静力解之间的一个十分简明的理论关系式。
Besides, a simple relationship between the upper bounds and the equivalent static solution is fo...
文中还推演出主、次上界与等效静力解之间的一个十分简明的理论关系式。
Besides, a simple relationship between the upper bounds and the equivalent static solution is fo...
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