本文採用Prandtl-Reuss 塑流法則和Hill 的降伏準則，結合有限變形理論及UpdatedLagrangian Formulation (ULF)的觀念建立一增量型彈塑性大變形有限元素分析程式，探討孔凸緣貫穿成形之等向性、正交異向性及異向性數值分析之沖頭負荷與衝程關係、工件厚度變化及成形極限等，並與實驗結果相比較，以確認本有限元素分析程式的正確性。經由不同Lankford 值R0，R45，R90，及不同沖頭圓弧角半徑對孔凸緣貫穿成形的影響得知，擴孔周緣於滾軋方向90 度的工件厚度大小，依序為異向性分析之厚度最厚，正交異向性次之，最薄為等向性，且在同方向的貫穿高度大小，依序為等向性分析之高度最高，正交異向性次之，異向性最低，而孔凸緣貫穿成形之最大沖頭負荷則隨著沖頭圓弧角半徑的增加而遞減。 A methodology for formulating an elasto-plastic finite element model, which is based on Prandtl-Reuss flow rule and Hill's yield criterion respectively, associates with an Updated Lagrangian Formulation. The numerical simulation results include relations hip between punch load and punch displacement, variation of the workpiece thickness, and forming limit. The finite element model is developed to simulate isotropic, normal anisotropic, and anisotropic of hole-flanging penetration process. The accuracy of the finite element program is based on a comparison between the simulation and experiment outcomes. Several simulations are performed on diverse Lankford parameters R0, R45, R90 and distinct punch profile radius. When the orientation of expanded hole circumference to rolling direction is at 90.degree.,the thickness of workpieces is various from three types of analyses. Anisotropic analysis determines the thickest workpiece and isotropic analysis the thinnest. As to penetrated height, at the same orientation, isotropic analysis determines the highest workpiece and anisotropic analysis the lowest. When punch profile radius becomes greater, maximum punch load decreases progressively.