Study on Constitutive Model of Cyclic Elastoplastic Behavior of 6082-T6 Aluminum Alloy
Publication: Journal of Materials in Civil Engineering
Volume 36, Issue 5
Abstract
This paper aims to propose an improved constitutive model based on the classical Chaboche mixed hardening model to describe the cyclic elastoplastic behavior of 6082-T6 aluminum alloy. First, 16 specimens from 6082-T6 aluminum alloy were tested under monotonic and cyclic loads. The variation law of the backstress, yield surface size, elastic modulus, and peak stress with equivalent plastic strain was obtained and analyzed. The results show that the kinematic hardening before and after the load reversal had a significant difference. Meanwhile, the elastic modulus and yield surface radius experienced a rapid decay at the early stage of equivalent plastic strain growth and then tended to flatten out. Based on these phenomena, a modified constitutive model based on the classical Chaboche mixed hardening model was proposed. The evolutions of isotropic hardening/softening, backstress, and elastic modulus were introduced. Then, the model was introduced to the ABAQUS software by the user subroutine to define a material’s mechanical behavior (UMAT) subroutine and corresponding parameters were provided. Finally, the proposed constitutive model was proven to capture the cyclic elastoplastic properties of 6082-T6 aluminum alloy well and had a significant improvement on the classical Chaboche mixed hardening model. Among them, the constitutive model can accurately describe the initial yield surface of 6082-T6, with an accuracy improvement of 26.6% compared to the Chaboche mixed hardening model, and an accuracy improvement of 7.44% in describing changes in elastic modulus.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors gratefully acknowledge the financial support of the National Research Project Cultivation Fund of Southeast University Chengxian College (2022NCF005) and the National Natural Science Foundation of China (No. 52278153).
References
Armstrong, P. J., and C. O. Frederick. 1966. A mathematical representation of the multiaxial bauschinger effect. Berkeley, UK: Central Electricity Generating Board.
ASTM. 2012. Standard test method for strain-controlled fatigue. E606/E606M-2012. West Conshohocken, PA: ASTM.
Branco, R., J. D. Costa, P. A. Prates, F. Berto, C. Pereira, and A. Mateus. 2022. “Load sequence effects and cyclic deformation behaviour of 7075-T651 aluminium alloy.” Int. J. Fatigue 155 (Feb): 106593. https://doi.org/10.1016/j.ijimpeng.2017.05.002.
Chaboche, J. L. 1986. “Time-Independent constitutive theories for cyclic plasticity.” Int. J. Plast. 2 (Mar): 149–188. https://doi.org/10.1016/0749-6419(86)90010-0.
Chaboche, J. L., K. D. Van, and G. Cordier. 1979. Modelization of the strain memory effect on the cyclic hardening of 316 stainless steel. Raleigh, NC: International Association for Structural Mechanics in Reactor Technology.
Chinese Standards. 2008. Metallic materials-axial strain-controlled low cycle fatigue testing method. GB/T 15248-2008. Beijing: Standardization Administration of China.
Chinese Standards. 2012. Wrought aluminum and aluminum alloy plates, sheets and strips for general engineering. GB/T 3880.1-2012. Beijing: Standardization Administration of China.
Chinese Standards. 2021. Metallic materials-tensile testing-part 1: Method of test at room temperature. GB/T228.1-2021. Beijing: Standardization Administration of China.
Guo, X., L. Wang, Z. Shen, J. Zou, and L. Liu. 2018a. “Constitutive model of structural aluminum alloy under cyclic loading.” Constr. Build. Mater. 180 (Aug): 643–654. https://doi.org/10.1016/j.conbuildmat.2018.05.291.
Guo, X., S. Zhu, X. Liu, and L. Liu. 2018b. “Experimental study on hysteretic behavior of aluminum alloy gusset joints.” Thin Walled Struct. 131 (Mar): 883–901. https://doi.org/10.1016/j.tws.2018.02.033.
He, Q., M. C. H. Yam, Z. Xie, H. C. Ho, and K.-F. Chung. 2022. “Experimental and modelling study of cyclic plasticity of high strength steel Q690.” J. Constr. Steel Res. 196 (Sep):107433. https://doi.org/10.1016/j.jcsr.2022.107433.
Liu, H., B. Li, Z. Chen, and Y. Ouyang. 2021. “Damage analysis of aluminum alloy gusset joints under cyclic loading based on continuum damage mechanics.” Eng. Struct. 244 (Oct): 112729. https://doi.org/10.1016/j.engstruct.2021.112729.
Ma, H., Y. Jiang, C. Li, Z. Yu, and F. Fan. 2020. “Performance analysis and comparison study of two aluminum alloy joint systems under out-of-plane and in-plane loading. An experimental and numerical investigation.” Eng. Struct. 214 (Mar): 110643. https://doi.org/10.1016/j.engstruct.2020.110643.
Su, M.-N., B. Young, and L. Gardner. 2016. “The continuous strength method for the design of aluminium alloy.” Eng. Struct. 122 (Mar): 338–348. https://doi.org/10.1016/j.engstruct.2016.04.040.
Wang, G., and C. Zhao. 2021. “Experimental and theoretical study on the bearing capacity of FGC joints for single-layer aluminium alloy lattice shell structures.” Structures 33 (Oct): 2445–2458. https://doi.org/10.1016/j.istruc.2021.05.067.
Wang, Y., and Z. Wang. 2016. “Experimental investigation and FE analysis on constitutive relationship of high strength aluminum alloy under cyclic loading.” Adv. Mater. Sci. Eng. 2016 (Oct): 1–16. https://doi.org/10.1155/2016/2941874.
Wang, Z., Y. Wang, X. Yun, Y. Zhang, Z. Li, and Z. Wang. 2020. “Numerical modelling of extruded aluminium alloy T-stubs connected by swage-locking pins: FE validation and parametric study.” Thin Walled Struct. 155 (Oct): 106926. https://doi.org/10.1016/j.tws.2020.106926.
Wu, J., Y. Li, G. Sun, and S. Chen. 2022a. “Experimental and numerical analyses of the hysteretic performance of an arched aluminium alloy gusset joint.” Thin Walled Struct. 171 (Feb): 108765. https://doi.org/10.1016/j.tws.2021.108765.
Wu, J., J. Zheng, and G. Sun. 2021. “Experimental and numerical analyses on aluminium alloy H-section members under eccentric cyclic loading.” Thin Walled Struct. 162 (May): 107532. https://doi.org/10.1016/j.tws.2021.107532.
Wu, J., J. Zheng, G. Sun, and X. Chang. 2022b. “Experimental and numerical analyses on axial cyclic behavior of H-section aluminium alloy members.” Struct. Eng. Mech. 81 (1): 11–28. https://doi.org/10.12989/sem.2022.81.1.011.
Xiang, P., L.-J. Jia, M. Shi, and M. Wu. 2017. “Ultra-low cycle fatigue life of aluminum alloy and its prediction using monotonic tension test results.” Eng. Fract. Mech. 186 (Dec): 449–465. https://doi.org/10.1016/j.engfracmech.2017.11.006.
Xie, Z., and Y. Chen. 2021. “Experimental and modeling study of uniaxial cyclic behaviors of structural steel under ascending/descending strain amplitude-controlled loading.” Constr. Build. Mater. 278 (Apr): 122276. https://doi.org/10.1016/j.conbuildmat.2021.122276.
Xie, Z., A. Kanvinde, and Y. Chen. 2021. “A constitutive model for various structural steels considering shared hysteretic behaviors.” J. Constr. Steel Res. 176 (Jan): 106421. https://doi.org/10.1016/j.jcsr.2020.106421.
Xiong, Z., X. Guo, Y. Luo, and H. Xu. 2017a. “Numerical analysis of aluminium alloy gusset joints subjected to bending moment and axial force.” Eng. Struct. 152 (Dec): 1–13. https://doi.org/10.1016/j.engstruct.2017.09.005.
Xiong, Z., X. Guo, Y. Luo, and S. Zhu. 2017b. “Elasto-plastic stability of single-layer reticulated shells with aluminium alloy gusset joints.” Thin Walled Struct. 115 (Jun): 163–175. https://doi.org/10.1016/j.tws.2017.02.008.
Xu, S., Z. Chen, X. Wang, and F. M. Mazzolani. 2015. “Hysteretic out-of-plane behavior of the Temcor joint.” Thin Walled Struct. 94 (Sep): 585–592. https://doi.org/10.1016/j.tws.2015.05.007.
Yuan, L., and Q. Zhang. 2022. “Buckling behavior and design of concentrically loaded T-section aluminum alloy columns.” Eng. Struct. 260 (Jun): 114221. https://doi.org/10.1016/j.engstruct.2022.114221.
Zhang, Y., Y. Wang, B. Li, Z. Wang, X. Liu, J. Zhang, and Y. Ouyang. 2021. “Structural behaviour of the aluminium alloy Temcor joints and Box-I section hybrid gusset joints under combined bending and shear.” Eng. Struct. 249 (Dec): 113380. https://doi.org/10.1016/j.engstruct.2021.113380.
Zhao, C., G. Wang, and T. Zheng. 2021. “Research on the hysteretic performance of flower-gusset composite joints for single-layer aluminium alloy lattice shell structures.” Adv. Struct. Eng. 25 (1): 171–187. https://doi.org/10.1177/13694332211046341.
Zhu, S., X. Guo, X. Liu, and S. Jiang. 2018. “Bearing capacity of aluminum alloy members under eccentric compression at elevated temperatures.” Thin Walled Struct. 127 (Jun): 574–587. https://doi.org/10.1016/j.tws.2018.02.030.
Zhu, S., M. Ohsaki, and X. Guo. 2021. “Prediction of non-linear buckling load of imperfect reticulated shell using modified consistent imperfection and machine learning.” Eng. Struct. 226 (Jan): 111374. https://doi.org/10.1016/j.engstruct.2020.111374.
Information & Authors
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Published In
Journal of Materials in Civil Engineering
Volume 36 • Issue 5 • May 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: May 18, 2023
Accepted: Oct 27, 2023
Published online: Feb 24, 2024
Published in print: May 1, 2024
Discussion open until: Jul 24, 2024
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