An inverse strategy to determine constitutive parameters of tubular materials for hydroforming processes

This paper is to determine the flow stress curve of 5049-O aluminium alloy by a tube hydraulic bulging test with fixed end-conditions. During this test, several tubular specimens are bulged under different internal pressures before their bursting, and the corresponding bulging height and wall thickn...

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Published inChinese journal of aeronautics Vol. 35; no. 6; pp. 379 - 390
Main Authors ZHANG, Bin, ENDELT, Benny, LANG, Lihui, ZHAO, Yang, YAN, Shu, NIELSEN, Karl Brian
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.06.2022
Department of Materials and Production,Aalborg University,Aalborg 9220,Denmark%School of Mechanical Engineering and Automation,Beihang University,Beijing 100083,China%School of Materials Science and Engineering,Northeastern University,Shenyang 110819,China%Department of Mechanical and Production Engineering,Aarhus University,Aarhus 8000,Denmark
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Summary:This paper is to determine the flow stress curve of 5049-O aluminium alloy by a tube hydraulic bulging test with fixed end-conditions. During this test, several tubular specimens are bulged under different internal pressures before their bursting, and the corresponding bulging height and wall thickness at the pole are measured. An inverse strategy is developed to determine the constitutive parameters of tubular materials based on experimental data, which combines the finite element method with gradient-based optimization techniques. In this scheme, the objective function is formulated with the sum of least squares of the error between numerical and experimental data, and finite difference approximation is used to calculate the gradient. The tubular material behavior is assumed to meet the von Mises yield criterion and Hollomon exponential hardening law. Then, constitutive parameters identification is performed by minimization of the objective function. In order to validate the performance of this framework, identified parameters are compared with those obtained by two types of theoretical models, and tensile tests are performed on specimens cut from the same tubes. The comparison shows that this inverse framework is robust and can achieve a more accurate parameter identification by eliminating mechanical and geometrical assumptions in classical theoretical analysis.
ISSN:1000-9361
DOI:10.1016/j.cja.2021.11.007