连续速度场解析平面变形轧制

Continuous Velocity Field Used to Solve plane Strain Due to Rouing

利用柱坐标系对平面变形轧制问题建立了连续速度场并获得上界解析解。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。

Using a cylindrical coordinate system, a continuous velocity field is established and applied to plane strain due to rolling, with an upper-bound analytical solution thus obtained. 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.