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Article

Comparison of Approaches to Determining the Coefficient of Friction in Stretch-Forming Conditions

by
Tomasz Trzepieciński
1,*,
Krzysztof Szwajka
2,
Valmir Dias Luiz
3,
Joanna Zielińska-Szwajka
4 and
Marek Szewczyk
2
1
Department of Manufacturing Processes and Production Engineering, Faculty of Mechanical Engineering and Aeronautics, Rzeszów University of Technology, al. Powstańców Warszawy 8, 35-959 Rzeszów, Poland
2
Department of Integrated Design and Tribology Systems, Faculty of Mechanics and Technology, Rzeszów University of Technology, ul. Kwiatkowskiego 4, 37-450 Stalowa Wola, Poland
3
Department of Metallurgy and Chemistry, Centro Federal de Educação Tecnológica de Minas Gerais, Timóteo 35180-520, Brazil
4
Department of Component Manufacturing and Production Organization, Faculty of Mechanics and Technology, Rzeszów University of Technology, ul. Kwiatkowskiego 4, 37-450 Stalowa Wola, Poland
*
Author to whom correspondence should be addressed.
Materials 2025, 18(19), 4534; https://doi.org/10.3390/ma18194534
Submission received: 2 September 2025 / Revised: 22 September 2025 / Accepted: 28 September 2025 / Published: 29 September 2025

Abstract

Control of the friction process in stretch-forming conditions, when creating sheet metal, is essential for obtaining components of the quality required. This paper presents an approach to modelling the friction phenomenon at the rounded edges of stamping dies. The aim of the study is to compare the coefficient of friction (CoF) determined from numerous analytical models available in the literature. Experimental studies were conducted using self-developed bending under tension friction testing apparatus. The test material was low-carbon DC01 steel sheeting. Tests were conducted under lubricated conditions, using industrial oil intended for deep drawing operations. The surfaces of countersamples made of 145Cr6 substrate were modified using the ion implantation of Pb (IOPb) and electron beam melting processes. Variation in the CoF in BUT tests was related to continuous deformation-induced changes in surface topography and changes in the mechanical properties of sheet metal due to the work-hardening phenomenon. Under friction testing with a stationary countersample, the largest increase in average roughness (by 19%) was found for the DC01/IOPb friction pair. The friction process caused a significant decrease in kurtosis values. The results show that the difference between the highest and lowest CoF values, determined for the analytical models considered, was approximately 40%.
Keywords: electron beam melting; friction; ion implantation; sheet metal forming; steel sheets; stretch forming electron beam melting; friction; ion implantation; sheet metal forming; steel sheets; stretch forming

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MDPI and ACS Style

Trzepieciński, T.; Szwajka, K.; Luiz, V.D.; Zielińska-Szwajka, J.; Szewczyk, M. Comparison of Approaches to Determining the Coefficient of Friction in Stretch-Forming Conditions. Materials 2025, 18, 4534. https://doi.org/10.3390/ma18194534

AMA Style

Trzepieciński T, Szwajka K, Luiz VD, Zielińska-Szwajka J, Szewczyk M. Comparison of Approaches to Determining the Coefficient of Friction in Stretch-Forming Conditions. Materials. 2025; 18(19):4534. https://doi.org/10.3390/ma18194534

Chicago/Turabian Style

Trzepieciński, Tomasz, Krzysztof Szwajka, Valmir Dias Luiz, Joanna Zielińska-Szwajka, and Marek Szewczyk. 2025. "Comparison of Approaches to Determining the Coefficient of Friction in Stretch-Forming Conditions" Materials 18, no. 19: 4534. https://doi.org/10.3390/ma18194534

APA Style

Trzepieciński, T., Szwajka, K., Luiz, V. D., Zielińska-Szwajka, J., & Szewczyk, M. (2025). Comparison of Approaches to Determining the Coefficient of Friction in Stretch-Forming Conditions. Materials, 18(19), 4534. https://doi.org/10.3390/ma18194534

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