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基于有限变形理论建立了三维金属板料成形过程的弹塑性有限元数学模型。数学模型采用物质坐标系中的ＴｏｔａｌＬａｇｒａｎｇｅ描述、Ｊ＿２型本构方程和等向强化假设，考虑了板料的厚向异性，对于金属板料与模具的摩擦采用近似的库仑摩擦定律。为简化计算采用薄膜单元。为了改善节点接触状态变化时计算的收敛性，提出了“弹性边界层”方法。采用根据此模型编制的程序模拟了机油收集器基本件的成形过程，并与试验结果进行了比较。
Based on the theory of finite deformation, an elasto-plastic finite element mathematical model of three-dimensional sheet metal forming process was established. The mathematical model adopts the TotalLagrange description, the J_2-type constitutive equation and the isotropic strengthening assumption in the material coordinate system, taking into account the thickness-wise anisotropy of the sheet metal, and adopts the approximate Coulomb friction law for the friction between the sheet metal and the mold. Thin film cells are used to simplify the calculation. In order to improve the convergence of calculation when the contact state changes, a “flexible boundary layer” method is proposed. The procedure of this model was used to simulate the forming process of the basic parts of the oil collector, and compared with the experimental results.