有限元逆算法与板料成形工艺的评价

依据理想形变理论，研究开发了冲压成形过程模拟的有限元逆算法，根据变形体的整体塑性功取相对极值的条件，导出了塑算法有限元方程。提出了求逆算法初始解以及求解与给定形状的毛坯相对应的冲压件形状的迭代计算方法。采用有限元塑算法预测了与冲压件形状相对应的冲压件毛坯的展开形状，根据给定的板坯形状计算了冲压件最终构形及应变分布。分析计算实例表明，逆算法可用于对板料成形工艺方案进行快速评价，对冲压工艺参数进行优化。

FE Inverse Approach and Evaluation for Design of Sheet Metal Forming Process

Based on ideal deformation theory, the authors developed a finite element inverse approach for sheet metal forming process simulation. The formulation of finite element equation is derived by the relative extremum condition of the global plastic work of the deforming body. Iterative algorithms are proposed to determine the initial guess of the inverse approach and the shape of the work piece relevant to given blank shape. Applying the FE inverse approach, the authors predict the blank shape of sheet metal forming process, calculate the final shape and the strain distribution for a given blank shape. Numerical simulation shows that FE inverse approach can be used for rapid evaluation of sheet metal forming process design and for the optimization of the process parameters.