Analysis of 3D plastic deformation in vertical rolling based on global weighted velocity field

Energy method is an essential theoretical approach to analyze plastic forming, which widely used in rolling process. An analysis model for vertical process established according energy theory. By using global weighted firstly, the 3D continuous velocity field, strain rate field and corresponding power functional are proposed. The unknown variables calculated numerically based on principle of minimum energy. Then, deformation parameters force determined. specific examples shows that prediction value good agreement with experimental results. Moreover, effects several shape force, edge studied. Both width reduction initial slab thickness have significant influences dog-bone size force. A wider slightly increases nonuniformity deformation. And increase roller radius can weaken