Next Article in Journal
Prediction of Component Erosion in a Francis Turbine Based on Sediment Particle Size
Previous Article in Journal
Pediatric Lower Limb Rehabilitation Training System with Soft Exosuit and Quantitative Partial Body Weight Support
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Machines
Volume 13
Issue 11
10.3390/machines13111029
machines-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Anisotropic Plasticity in Sheet Metal Forming: Experimental and Numerical Analysis of Springback Using U-Bending Test

by
Lotfi Ben Said
1,*,
Abir Bouhamed
2,
Mondher Wali
2,3,
Taoufik Kamoun
4,
Muapper Alhadri
1,
Badreddine Ayadi
1,
Sattam Alharbi
1 and
Wajdi Rajhi
1
1
Department of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il City 81451, Saudi Arabia
2
Laboratory of Electrochemistry and Environment (LEE), National Engineering School of Sfax, University of Sfax, Sfax 5080, Tunisia
3
Higher School of Sciences and Technologie of Hammam Sousse, University of Sousse, Sousse 4011, Tunisia
4
Higher Institute of Technological Studies of Sfax, Sfax 3099, Tunisia
*
Author to whom correspondence should be addressed.
Machines 2025, 13(11), 1029; https://doi.org/10.3390/machines13111029
Submission received: 18 September 2025 / Revised: 30 October 2025 / Accepted: 5 November 2025 / Published: 7 November 2025
(This article belongs to the Special Issue Advanced Technologies for Sheet Metal Forming)
Versions Notes

Abstract

Accurate forecasting of springback continues to pose a significant challenge in sheet metal forming processes. The present paper presents a numerical model designed for the precise prediction of springback, allowing for a deeper understanding of plasticity behavior during cold forming operations in sheet metals. The key contribution of this model is the introduction of a non-associated anisotropic constitutive model featuring nonlinear mixed isotropic–kinematic hardening. This model is derived from Hill’48 quadratic function and it was implemented into ABAQUS 6.13 software environment through the user defined UMAT subroutine. For improved precision, kinematic hardening parameters specific to 5083 aluminum sheet metal were meticulously derived from cyclic shear experiments. Our results demonstrate the model’s strong capability in predicting springback during the U-bending operation, achieving remarkable accuracy. The design of experiments DOE is used as a statistical method to optimize the number of experiments and analyze the effects of key input factors. In this study, sheet thickness, punch speed, and sampling angle relative to the rolling direction (RD) are examined at different levels to assess their impact on folding force and springback. The strong agreement between experimental results and theoretical predictions confirms the accuracy and reliability of the proposed models in estimating folding force and springback.
Keywords: anisotropic plasticity; isotropic–kinematic hardening; U-bending test; springback; DOE anisotropic plasticity; isotropic–kinematic hardening; U-bending test; springback; DOE

Share and Cite

MDPI and ACS Style

Ben Said, L.; Bouhamed, A.; Wali, M.; Kamoun, T.; Alhadri, M.; Ayadi, B.; Alharbi, S.; Rajhi, W. Anisotropic Plasticity in Sheet Metal Forming: Experimental and Numerical Analysis of Springback Using U-Bending Test. Machines 2025, 13, 1029. https://doi.org/10.3390/machines13111029

AMA Style

Ben Said L, Bouhamed A, Wali M, Kamoun T, Alhadri M, Ayadi B, Alharbi S, Rajhi W. Anisotropic Plasticity in Sheet Metal Forming: Experimental and Numerical Analysis of Springback Using U-Bending Test. Machines. 2025; 13(11):1029. https://doi.org/10.3390/machines13111029

Chicago/Turabian Style

Ben Said, Lotfi, Abir Bouhamed, Mondher Wali, Taoufik Kamoun, Muapper Alhadri, Badreddine Ayadi, Sattam Alharbi, and Wajdi Rajhi. 2025. "Anisotropic Plasticity in Sheet Metal Forming: Experimental and Numerical Analysis of Springback Using U-Bending Test" Machines 13, no. 11: 1029. https://doi.org/10.3390/machines13111029

APA Style

Ben Said, L., Bouhamed, A., Wali, M., Kamoun, T., Alhadri, M., Ayadi, B., Alharbi, S., & Rajhi, W. (2025). Anisotropic Plasticity in Sheet Metal Forming: Experimental and Numerical Analysis of Springback Using U-Bending Test. Machines, 13(11), 1029. https://doi.org/10.3390/machines13111029

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop