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A Transfer Learning method for deep drawing force prediction of sheet metal

Yingjian Guo (UGent) , Gregor Kosec, Lihua Wang (UGent) and Magd Abdel Wahab (UGent)
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Abstract
The deep drawing process involves complex deformations with highly nonlinear interactions among geometry, physics, and boundary conditions. Deep Drawing Force (DDF) refers to the force exerted by the punch on the sheet during forming and is essential for mechanical design and the prediction of failure modes such as wrinkling or fracture. This study proposes a data-driven transfer learning framework to predict DDF under various process conditions, where knowledge learned from analytically generated data is transferred to a model trained on limited numerical or experimental data, effectively reducing the data requirement while maintaining high prediction accuracy. The transfer learning in this work is entirely data-driven and relies on analytically generated data to pre-train a base model. Specifically, a large synthetic dataset is generated for pre-training using theoretical forming force equations based on the energy method. This base model is then fine-tuned using a small number of high-fidelity Finite Element Method (FEM) results that have been experimentally validated, finally, the prediction performance is evaluated by testing on unknown FEM data. The pre-trained knowledge is also transferred to tasks involving parts with different geometries, demonstrating strong generalization capability. Experimental results show that the transfer learning framework significantly improves prediction accuracy while reducing data requirements, offering an efficient and cost-effective solution for deep drawing process modelling.
Keywords
Transfer Learning, Deep drawing force, Deep neural network model, Metal forming, Finite element method, ALUMINUM-ALLOYS, NEURAL-NETWORK, MODEL, RATIO, TECHNOLOGY, SIMULATION, STRESS, LOAD

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MLA
Guo, Yingjian, et al. “A Transfer Learning Method for Deep Drawing Force Prediction of Sheet Metal.” EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, vol. 114, 2025, doi:10.1016/j.euromechsol.2025.105780.
APA
Guo, Y., Kosec, G., Wang, L., & Abdel Wahab, M. (2025). A Transfer Learning method for deep drawing force prediction of sheet metal. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 114. https://doi.org/10.1016/j.euromechsol.2025.105780
Chicago author-date
Guo, Yingjian, Gregor Kosec, Lihua Wang, and Magd Abdel Wahab. 2025. “A Transfer Learning Method for Deep Drawing Force Prediction of Sheet Metal.” EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 114. https://doi.org/10.1016/j.euromechsol.2025.105780.
Chicago author-date (all authors)
Guo, Yingjian, Gregor Kosec, Lihua Wang, and Magd Abdel Wahab. 2025. “A Transfer Learning Method for Deep Drawing Force Prediction of Sheet Metal.” EUROPEAN JOURNAL OF MECHANICS A-SOLIDS 114. doi:10.1016/j.euromechsol.2025.105780.
Vancouver
1.
Guo Y, Kosec G, Wang L, Abdel Wahab M. A Transfer Learning method for deep drawing force prediction of sheet metal. EUROPEAN JOURNAL OF MECHANICS A-SOLIDS. 2025;114.
IEEE
[1]
Y. Guo, G. Kosec, L. Wang, and M. Abdel Wahab, “A Transfer Learning method for deep drawing force prediction of sheet metal,” EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, vol. 114, 2025.
@article{01K01JMCBDK8KV4P6P6QZ1YV8H,
  abstract     = {{The deep drawing process involves complex deformations with highly nonlinear interactions among geometry, physics, and boundary conditions. Deep Drawing Force (DDF) refers to the force exerted by the punch on the sheet during forming and is essential for mechanical design and the prediction of failure modes such as wrinkling or fracture. This study proposes a data-driven transfer learning framework to predict DDF under various process conditions, where knowledge learned from analytically generated data is transferred to a model trained on limited numerical or experimental data, effectively reducing the data requirement while maintaining high prediction accuracy. The transfer learning in this work is entirely data-driven and relies on analytically generated data to pre-train a base model. Specifically, a large synthetic dataset is generated for pre-training using theoretical forming force equations based on the energy method. This base model is then fine-tuned using a small number of high-fidelity Finite Element Method (FEM) results that have been experimentally validated, finally, the prediction performance is evaluated by testing on unknown FEM data. The pre-trained knowledge is also transferred to tasks involving parts with different geometries, demonstrating strong generalization capability. Experimental results show that the transfer learning framework significantly improves prediction accuracy while reducing data requirements, offering an efficient and cost-effective solution for deep drawing process modelling.}},
  articleno    = {{105780}},
  author       = {{Guo, Yingjian and Kosec, Gregor and Wang, Lihua and Abdel Wahab, Magd}},
  issn         = {{0997-7538}},
  journal      = {{EUROPEAN JOURNAL OF MECHANICS A-SOLIDS}},
  keywords     = {{Transfer Learning,Deep drawing force,Deep neural network model,Metal forming,Finite element method,ALUMINUM-ALLOYS,NEURAL-NETWORK,MODEL,RATIO,TECHNOLOGY,SIMULATION,STRESS,LOAD}},
  language     = {{eng}},
  pages        = {{13}},
  title        = {{A Transfer Learning method for deep drawing force prediction of sheet metal}},
  url          = {{http://doi.org/10.1016/j.euromechsol.2025.105780}},
  volume       = {{114}},
  year         = {{2025}},
}

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