本研究採用Prandtl-Reuss塑流法則和von Mises的降伏條件,結合有限變形理論及Updated Lagrangian formulation (ULF)的觀念建立一增量型彈塑性大變形有限元素分析模式,並以此程式模擬金屬圓管擴口成形之製程。本研究將分析金屬管件於不同沖頭半角擴口成形時的沖頭負荷與衝程之關係、變形歷程、管件厚度分佈、臨界擴口率與沖頭半角關係之比較及卸載後管件之最終幾何形狀。為驗證此彈塑性大變形有限元素分析程式之正確性,本研究亦設計一組模具進行實驗,經數值模擬所得沖頭負荷和管件厚度分布之預測值與實驗結果有良好的一致性,故本彈塑性大變形有限元素程式可合理的模擬金屬管件擴口成形之製程。 A methodology for formulating and elasto-plastic finite element model,which based on an Updated Lagrangian Formulation (ULF), Prandtl-Reussflow rule and von Mises yield criterion, was developed to simulate theflaring process of metal tubes. Simulation results, such as the entireloading history, the whole deformation history, the thicknessdistribution of the tube, the critical flaring ratio of the tube andthe final shape of tubes after unloading can be obtained. A set offlaring die was designed for experiments. The predicted value of thepunch load and thickness distribution in the simulation correlate wellwith the experimental results.
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八十九年度中華民國力學學會年會暨第二十四屆全國力學會議論文集=24th National Conference on Applied and Theoretical Mechanics, 頁N.A.(CD)