本論文透過實驗與解析解決定出HA-188鈷基超合金管材塑流應力，並評估延性破壞準則對管件液壓成形製程之雙軸拉伸之破壞應變預測的適用性。
文中針對IST-1000液壓成形機設計出一組非軸對稱之管件液壓鼓脹模具，非軸對稱之設計目的在於防止直縫焊管上的焊道影響可成形性試驗結果。進行管件液壓自由鼓脹實驗建立出HA-188鈷基超合金之材料參數，透過增量自由鼓脹試驗與解析解方式獲得管材之塑流應力曲線，與單軸拉伸試驗所獲得之塑流應力曲線比較，比較結果兩者趨勢近似。透過本文數學解析模式與管件液壓自由鼓脹增量試驗可以獲得管件素材之塑流應力曲線。
藉由管件液壓自由鼓脹實驗結果所獲得之破壞資訊，比較有與無靜液壓項之延性破壞準則所建立成形極限曲線之差異，並提出加入應變路徑修正之含有靜液壓項之延性破壞準則，建立第一象限之成形極限曲線。結果顯示，有靜液壓項與應變路徑修正之延性破壞準則較其他之延性破壞準則應用於管件液壓成形破壞預測上具較高的準確性。

In this study, the flow stress of HA-188 cobalt-base superalloy tube was determined by experiments and analytical solution, and the applicability of bi-axial fracture strains prediction by using ductile fracture criteria was evaluated for tube hydroforming process.

Non-axisymmetric die design was applied for IST-1000 hydraulic forming machine. The purpose of non-axisymmetric die design is to prevent from the welding effects on welded tube during the formability test. By using tube hydroforming bugling test the material data of HA-188 cobalt-based superalloy was established. The flow stress which was established by incremental free bulge test and numerical analysis was compared with the flow stress from simple tensile test, and the result showed the flow stress curves are similar. From this result, a method to determine the flow stress of tube is proposed with the numerical analysis model and tube incremental free bulge test.

With the fracture data form experimental results of tube free bulge test, the differences from forming limit curve established by using ductile failure criterion without hydrostatic stress term and with hydrostatic stress term were evaluated. The modified ductile failure criterion which included hydrostatic stress term with the strain path was proposed. The experimental results show that the modified ductile fracture criterion included hydrostatic stress term and strain path has better accuracy than other ductile fracture criteria.

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