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

作     者：Bin ZHANG Benny ENDELT Lihui LANG Yang ZHAO Shu YAN Karl Brian NIELSEN Bin ZHANG;Benny ENDELT;Lihui LANG;Yang ZHAO;Shu YAN;Karl Brian NIELSEN

作者机构：Department of Materials and ProductionAalborg UniversityAalborg 9220Denmark School of Mechanical Engineering and AutomationBeihang UniversityBeijing 100083China School of Materials Science and EngineeringNortheastern UniversityShenyang 110819China Department of Mechanical and Production EngineeringAarhus UniversityAarhus 8000Denmark 

出 版 物：《Chinese Journal of Aeronautics》 (中国航空学报（英文版）)

年 卷 期：2022年第35卷第6期

页      面：379-390页

核心收录：

学科分类：08[工学] 082503[工学-航空宇航制造工程] 0825[工学-航空宇航科学与技术] 

基　　金：the financial support from China Scholarship Council (CSC) (No. 201706080020) 

主　　题：Aluminum alloy Constitutive parameter Hydraulic bulging test Inverse modelling Tubular material 

摘      要：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.