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Investigating the impact of yield criteria and process parameters on fracture height of cylindrical cups in the deep drawing process of SPCC sheet steel

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Abstract

This study aims to accurately select a yield criterion by utilizing the identification coefficient method to describe anisotropic behavior using material parameters and finite element simulation. The influence of anisotropy is investigated and compared with experimental data. Three yield functions, namely von Mises, Hill’48R, and Hill’48S, are analyzed and their impact on numerical results is investigated using the Kim-Tuan stress–strain model for hardening law. The SPCC material (cold-rolled mild steel) is used for experimental validation. The main variables under study are the fracture height of cylinder cups and the evolution of simulated punch force. The deep drawing process of SPCC cylindrical cups is simulated using the finite element method (FEM) to evaluate the impact of the yield criterion on fracture height. The predicted punch force evolution remains consistent regardless of the yield criterion used, but the fracture height of cylinder cups is significantly influenced by the choice of yield criterion. The von Mises yield criterion leads to a significantly lower fracture height, while the Hill’48S yield criterion yields a fracture height that is too high. However, the results demonstrate that the Hill’48R yield criterion exhibits the most favorable agreement with experimental data for the fracture height of cylinder cups in deep drawing process. Additionally, the study investigates the influence of process parameters such as blanking holder force (FBH), nose radius of the punch (Rp), and limiting drawing ratio (Mt) on fracture height and addresses optimization problems. A highly accurate mathematical model is developed to predict fracture height based on FBH, Rp, and Mt, achieving a deviation of only 4.81% when compared to corresponding experimental values. These findings contribute significantly to the advancement of sheet metal forming technology in various industries, particularly in reducing defective product rates.

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Funding

This work was supported by Hung Yen University of Technology and Education, Vietnam (Grant numbers UTEHY.L.2023.04).

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Hungyen University of Technology and Education, 160000, Hungyen, Vietnam

    The-Thanh Luyen & Thi-Bich Mac

  2. School of Mechanical Engineering, Hanoi University of Science and Technology, 1A-Dai Co Viet Street, Hai Ba Trung District, 100000, Hanoi City, Vietnam

    Tien-Long Banh & Duc-Toan Nguyen

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  1. The-Thanh Luyen
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  4. Duc-Toan Nguyen
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Contributions

All authors contributed to the conceptualization and design of the study. Luyen The Thanh and Nguyen Duc Toan were responsible for the material preparation, data collection, and analysis. Mac Thi Bich and Banh Tien Long were involved in the validation and investigation process. The initial draft of the manuscript was prepared by Luyen The Thanh and Nguyen Duc Toan, and all authors provided feedback and contributed to revising earlier versions of the manuscript. All authors have reviewed and approved the final version of the manuscript.

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Correspondence to Duc-Toan Nguyen.

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Luyen, TT., Mac, TB., Banh, TL. et al. Investigating the impact of yield criteria and process parameters on fracture height of cylindrical cups in the deep drawing process of SPCC sheet steel. Int J Adv Manuf Technol 128, 2059–2073 (2023). https://doi.org/10.1007/s00170-023-12022-8

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