塑性有限元在金属轧制过程中应用的进展

来源期刊：金属学报2010年第9期

论文作者：刘相华

文章页码：1025 - 1033

关键词：塑性有限元； 轧制过程； 快速有限元； 多尺度模拟

Key words：plastic finite element method(FEM)； rolling process； fast FEM； multi-scale simulation

摘    要：介绍了塑性有限元在金属轧制领域中应用的发展历程和新进展,包括:刚塑性有限元理论及应用研究;弹塑性有限元在轧制过程分析中的进展;用于轧制过程建模的快速有限元;元胞自动机与有限元结合进行轧制过程多尺度综合模拟;利用晶体塑性有限元研究轧制过程中取向织构;轧制过程中裂纹和夹杂物演变的有限元模拟.最后对今后的发展趋势做了展望.

Abstract: The recent progress of plastic finite element method (FEM) and its application in rolling are introduced,including:(1) progress in rigid plastic FEM theory and application.It deals with the variational principle for rigid-plastic compressible materials,the uniqueness of extreme point of total power rate functional for hot rolling problem,and the examples of solving various rolling processes;(2) elastic-plastic FEM was used to analyze the normal longitude rolling and the special rolling processes,such as wedge rolling,cross wedge rolling and skew rolling;(3) fast-FEM for modeling to control a rolling mill.Now it becomes true that a FEM calculation for one pass flat rolling could be accomplished within 50-100 ms,which means it is possible to meet the requirement of on-line use for the process control to the rolling mill instead the traditional mathematics models;(4) multi-scale FEM simulation for rolling using cellular automata (CA) and FEM.Here the CA was used to simulate the recrystallization and transformation,and the temperature field,stress field and strain field were provided by FEM;(5) using crystal plasticity FEM to simulate the texture evolution during rolling.The crystal plasticity theory was put into the framework of the finite element method,to simulate the plastic deformation process at the crystal scale.An example is given for modeling of rolling Al polycrystal and texture evolution during the deformation;(6) FEM simulation of the crack and inclusion behaviors during rolling.The research works on evolution of cracks on the corner,edge, surface and inside of a workpiece,also for the inclusion by FEM are introduced.Finally,an outlook has been made for the plastic FEM.