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Nonlinear kinematic hardening constitutive model based on Hill48 yield criterion and its application in reverse deep drawing

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Abstract

The sheet metals formed by reverse deep drawing process have obvious cyclic loading characteristics, and the kinematic hardening constitutive model can accurately reflect the hardening characteristics of the material in the cyclic loading deformation process. In this study, based on the Hill48 anisotropic yield criterion, Armstrong-Frederic (A-F) nonlinear kinematic hardening model, and plastic flow law, a constitutive model considering sheet directivity, work hardening characteristics, and Bauschinger effect is established. The accuracy of the constitutive model is verified by the reverse deep drawing test based on solid granular medium as the force transmission medium. The results show that the constitutive model can accurately reflect the cyclic loading deformation characteristics of the sheet and has high simulation accuracy. Overall, the proposed constitutive model provides a reliable approach for the optimization of process parameters and the study of cyclic loading deformation characteristics of reverse deep drawing process with granular medium.

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Authors and Affiliations

  1. Key Laboratory of Advanced Forging Technology and Science Ministry of Education, Yanshan University, Qinhuangdao, 066004, Hebei, China

    Guang Chen, Changcai Zhao, Haiwei Shi, Siyuan Liu, Xiaoyi Chen & Duan Chen

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  1. Guang Chen
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  2. Changcai Zhao
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  3. Haiwei Shi
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  4. Siyuan Liu
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  5. Xiaoyi Chen
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  6. Duan Chen
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Correspondence to Changcai Zhao.

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Technical Editor: João Marciano Laredo dos Reis.

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Chen, G., Zhao, C., Shi, H. et al. Nonlinear kinematic hardening constitutive model based on Hill48 yield criterion and its application in reverse deep drawing. J Braz. Soc. Mech. Sci. Eng. 44, 471 (2022). https://doi.org/10.1007/s40430-022-03741-2

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