The streamlined design of self-bending extrusion die


In this paper, the method of limit analysis is adopted, and three kinds of self-bending extrusion dies controlled by combined function are presented. They are the sin-atan self-bending extrusion die, the sin-erf self-bending extrusion die, and the sin-tanh self-bending extrusion die. Through numerical simulation, self-bending profiles can be obtained from all three kinds of dies. These dies can make the billet flow closer to the real billet flow path and maximize the billet utilization rate. They also can reduce the extrusion load and reduce the local damage of the die and then prolong the die life. It is very effective to predict the bending deformation of the billet by analyzing the central flow line of the billet. It provides a theoretical reference for the design of the actual streamlined self-bending die.

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This work was supported by the Natural Science Foundation of Shandong Province (Project Number ZR2017MEE036) and Zibo City School City Integration Development Project (Project Number 2017ZBXC205).

Author information




Fanlei Min and Huiping Liu contributed equally.

Fanlei Min: Conceptualization; Methodology; Software; Writing, Original Draft

Huiping Liu: Software; Validation; Writing, Original Draft; Writing - Review and Editing

Guangming Zhu: Resources; Supervision

Zheng Chang: Resources; Supervision

Nana Guo: Investigation

Jianbo Song: Investigation

Corresponding author

Correspondence to Guangming Zhu.

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Min, F., Liu, H., Zhu, G. et al. The streamlined design of self-bending extrusion die. Int J Adv Manuf Technol 116, 363–373 (2021).

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  • Self-bending extrusion
  • Streamlined structure
  • Numerical simulation
  • Upper bound method