Stress Analysis of Tubes During Die Expansion Process

Zijian Zhao, A. Bouzid
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Abstract

In practical applications, the stress status of expanded tubes is a critical parameter to control leakage and stress corrosion cracking. Therefore, it is important to study and analyze the stress distribution generated from tube expansion. Unfortunately, there are only a few theoretical approaches available for estimating the stress distribution of formed tubes, especially for cases where the expansion is achieved with spherical and oval dies. In this study, 3/8 stainless steel and copper tubes were expanded with an oval die in a designed test workbench, and the tangential and longitudinal strains were monitored during the expansion process. A new analytical approach is developed to estimate the stresses and strains in the expanded tube during the expansion process. The different expanded zones are treated using different theories. An axisymmetric finite element model as a numerical approach is used to analyze the stresses based on a multi-linear kinematic hardening behavior to validate the analytical approach. In addition, the stresses in the expanded tube and the push force of the die are also provided by the analytical, numerical and experimental approaches. Finally, the results from the three approaches are in a relatively good agreement.
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管材扩模过程中的应力分析
在实际应用中,膨胀管的应力状态是控制泄漏和应力腐蚀开裂的关键参数。因此,研究和分析管材膨胀产生的应力分布具有重要意义。不幸的是,只有少数理论方法可用于估计成形管的应力分布,特别是在膨胀是用球形和椭圆形模具实现的情况下。在设计的试验台上,用椭圆形模具对3/8不锈钢和铜管进行膨胀,并对膨胀过程中的切向应变和纵向应变进行监测。提出了一种估算膨胀管膨胀过程中应力和应变的新方法。不同的扩展带采用不同的理论进行处理。采用轴对称有限元模型作为数值方法对基于多线性运动硬化行为的应力进行了分析,验证了分析方法的正确性。此外,还通过解析、数值和实验方法得到了膨胀管内的应力和模具的推力。最后,三种方法的结果比较一致。
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