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A constitutive model for cracking prediction of steel/aluminum thin-walled tubes during plastic joining

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Abstract

An accurate constitutive model lays an analytical foundation for the thin-walled tube plastic joining process. This study obtained the best-fitted constitutive model to accurately simulate the steel/aluminum thin-walled tubes cracking during plastic joining. The process of establishing the constitutive model comprises three parts: 1) The flow stress model of AA6061 was determined by comparing the fit of seven flow stress models and experiments, and the model parameters were calibrated using a genetic algorithm. 2) A method combined with experiment and simulation was adopted to obtain the failure parameters in the ductile fracture criterion. 3) Combinations of different ductile fracture criteria and yield criteria were implemented into the VUMAT subroutine to simulate uniaxial tension. The constitutive model of AA6061 was determined based on the comparison of simulation and experiment. Subsequently, the constitutive model was applied to the cracking prediction of the steel/aluminum thin-walled tube plastic joining process. The predicted cracking was compared with the experimental cracking. Finally, the cracking risk areas were evaluated by the forming limit diagram. The results indicated that the Voce-Swift model could better reflect the trend of AA6061 flow stress and the genetic algorithm could effectively improve the Voce-Swift model fitting accuracy. The uniaxial tensile simulation suggested that the Cockcroft-Latham criterion combined with the Hill48 anisotropic criterion could accurately predict the fracture of AA6061. Moreover, the steel/aluminum joint simulation cracking matched very well with the experiment, which verified the validity of the constitutive model in predicting cracking during the plastic joining process. Finally, the aluminum/aluminum joint simulation result proved that the risk of cracking in the upper tube was more significant than in the lower tube. The AA6061 tube with poor plasticity should be the lower tube to improve the formability of the steel/aluminum joint.

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Funding

The authors appreciated the financial support from the Natural Science Foundation of Shanghai, China(19ZR1460100).

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All authors contributed to the study conception and design. Experiments and simulation analysis were performed by Hangyu Wu. The first draft of the manuscript was written by Hangyu Wu and Haiyan Yu reviewed and edited the manuscript. All authors read and approved the final manuscript.

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Correspondence to Haiyan Yu.

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Wu, H., Yu, H. A constitutive model for cracking prediction of steel/aluminum thin-walled tubes during plastic joining. Int J Adv Manuf Technol 127, 2357–2370 (2023). https://doi.org/10.1007/s00170-023-11636-2

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