基于拉格朗日公式的冷轧有限元分析

Finite element modeling of cold rolling base on Lagrangian formulations

根据材料形变过程,在网格移动和空间形变中,金属形变过程的有限元分析可以用校正的拉格朗日公式准确的表达,然而,一些金属的形变过程有稳定变形的特性,如挤压、拉深和轧制,需要用合并欧拉-拉格朗日公式进行分析。文中分别用这两种公式对棒材的冷轧过程进行了分析,分别讨论用这两种公式所得的数据结果,并与实际棒材冷轧试验结果的数据进行了比较。挤压弯曲载荷的分析结果显示,用合并欧拉-拉格朗日有限元公式能够更准确的预测金属的形变过程。

Finite element analysis of metal forming processes is predominantly treated by the updated Lagrangian formulation in which the mesh moves and deforms in space, in accordance with the deformation history of the material. However, the steady-state deformation characteristics of some metal forming processes, such as extrusion, drawing and rolling, can be advantageously analyzed using a combined Eulerian-Lagrangian formulation. In this paper cold forward extrusion of rods is analyzed using both the updated Lagrangian and the combined Eulerian-Lagrangian finite element formulations. The numerical results obtained with the two formulations are discussed and compared with experimental data obtained from metal experiments carried out with steel rods. In what concerns the extrusion load curve results demonstrate that it can be predicted more accurately using a combined Eulerian-Lagrangian finite element formulation.