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A damage coupled plastic-stress-state model considering proportional and non-proportional loading conditions

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Abstract

A damage-coupled plastic-stress-state (DCPSS) constitutive model was developed to address the effect of proportional and non-proportional loading paths on the plasticity and failure of ductile metals. This constitutive model was calibrated using the load–displacement curves of 11 shapes of aluminum alloy specimens by Finite Element Assisted Methods. The trial-and-error method, genetic algorithm-based optimization, a combined experimental/numerical method, and Fischer’s integral extension were applied to determine the material constants in the constitutive model. The determined model can accurately predict the flow behavior and failure processes of AA5754-H32 aluminum under proportional loading conditions, such as crack initiation, propagation, and fracture. The accuracy of DCPSS model is validated by using uniaxial pretension-shear test and biaxial pretension-shear test, which shows to be significant.

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Funding

This work was supported by the National Natural Science Foundation of China (Grant No. 52272364), the Natural Science Foundation of Shandong Province (Grant No. ZR2022QE264) and the Natural Science Foundation of Jilin Province (Grant No. 20210101054JC).

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WZ: data analysis, manuscript revising, funding acquisition. PW: investigation, experiment, data analysis, original manuscript writing. YL: investigation, data analysis, manuscript revising, funding acquisition.

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Correspondence to Yang Liu.

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Zhuang, W., Wang, P. & Liu, Y. A damage coupled plastic-stress-state model considering proportional and non-proportional loading conditions. Int J Fract 240, 29–50 (2023). https://doi.org/10.1007/s10704-022-00673-9

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  • DOI: https://doi.org/10.1007/s10704-022-00673-9

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