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A particle finite element method approach to model shear cutting of high-strength steel sheets
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Solid Mechanics.ORCID iD: 0000-0002-0764-5667
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Solid Mechanics. School of Applied Sciences and Engineering, EAFIT University, Carrera 49 No. 7 South-50, Medellín, Colombia.ORCID iD: 0000-0003-3865-1426
voestalpine Stahl GmbH, voestalpine-Straße 3, 4020, Linz, Austria.
Unit of Metallic and Ceramic Materials, Eurecat, Centre Tecnològic de Catalunya, Plaça de la Ciència, 2, 08243, Manresa, Spain.ORCID iD: 0000-0002-1401-6877
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2024 (English)In: Computational Particle Mechanics, ISSN 2196-4378, Vol. 11, p. 1863-1886Article in journal (Refereed) Published
Abstract [en]

Shear cutting introduces residual strains, notches and cracks, which negatively affects edge-formability. This is especially relevant for forming of high-strength sheets, where edge-cracking is a serious industrial problem. Numerical modelling of the shear cutting process can aid the understanding of the sheared edge damage and help preventing edge-cracking. However, modelling of the shear cutting process requires robust and accurate numerical tools that handle plasticity, large deformation and ductile failure. The use of conventional finite element methods (FEM) may give rise to distorted elements or loss of accuracy during re-meshing schemes, while mesh-free methods have tendencies of tensile instability or excessive computational cost. In this article, the authors propose the particle finite element method (PFEM) for modelling the shear cutting process of high-strength steel sheets, acquiring high accuracy results and overcoming the stated challenges associated with FEM. The article describe the implementation of a mixed axisymmetric formulation, with the novelty of adding a ductile damage- and failure model to account for material fracture in the shear-cutting process. The PFEM shear-cutting model was validated against experiments using varying process parameters to ensure the predictive capacity of the model. Likewise, a thorough sensitivity analysis of the numerical implementation was conducted. The results show that the PFEM model is able to predict the process forces and cut edge shapes over a wide range of cutting clearances, while efficiently handling the numerical challenges involved with large material deformation. It is thus concluded that the PFEM implementation is an accurate predictive tool for sheared edge damage assessment.

Place, publisher, year, edition, pages
Springer Nature, 2024. Vol. 11, p. 1863-1886
Keywords [en]
PFEM, Shear cutting, AHSS, Ductile damage
National Category
Applied Mechanics Other Materials Engineering
Research subject
Solid Mechanics
Identifiers
URN: urn:nbn:se:ltu:diva-104322DOI: 10.1007/s40571-023-00708-5ISI: 001156076500001Scopus ID: 2-s2.0-85184256463OAI: oai:DiVA.org:ltu-104322DiVA, id: diva2:1839683
Note

Validerad;2024;Nivå 2;2024-10-15 (joosat);

Funder: Horizon 2020 (101006844); RFCS (847213);

Full text: CC BY license

Available from: 2024-02-21 Created: 2024-02-21 Last updated: 2025-03-10Bibliographically approved
In thesis
1. The Influence of Shear-Induced Damage on the Formability of High-Strength Steel Sheet: A Particle-based Numerical Study
Open this publication in new window or tab >>The Influence of Shear-Induced Damage on the Formability of High-Strength Steel Sheet: A Particle-based Numerical Study
2025 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [sv]

Shear cutting is the primary method for preparing blanks in sheet metal forming, widely used across various sheet materials. However, when applied to advanced high-strength steels (AHSS), the process introduces additional challenges. While AHSS offer superior strength-to-weight performance, their limited ductility makes them highly sensitive to shear-induced edge damage, which can lead to premature edge cracking and reduced formability. Accurate numerical modelling of shear cutting and its effects is therefore essential for optimising manufacturing processes and improving formability predictions.

In this thesis, the Particle Finite Element Method (PFEM) was employed to develop a numerical framework for modelling of the shear cutting process, addressing challenges associated with extreme deformations and localised strain effects. PFEM provided a robust approach for modelling large localised deformations and material separation while preserving detailed information in critical regions along the cut edge. The method was validated against experimental sheet punching tests, demonstrating its ability to accurately capture key aspects of the shear cutting process. The developed PFEM model was further extended to examine the influence of cutting conditions on sheared edge formability, providing insights into how variations in cutting parameters affect edge cracking. A hybrid modelling approach was introduced, combining numerical shear cutting results with experimental observations to assess circumferential variations in cut edge morphology. This approach enabled a more detailed analysis of local heterogeneities in sheared edges, which are often overlooked in conventional numerical assessments. Additionally, a critical investigation of continuum-based ductile damage modelling for pre-cracked AHSS sheets highlighted the limitations of strain-driven failure models in capturing crack evolution. This study suggested that fracture mechanics approaches could provide a more reliable alternative for predicting crack propagation in edge cracking scenarios.

The findings of this thesis enhance the understanding of shear-induced damage mechanisms and their role in subsequent forming defects, providing valuable insights for minimising edge cracking in AHSS. The successful application of PFEM, combined with ductile damage and failure modelling, demonstrates its effectiveness as a robust and computationally efficient method for capturing extreme deformations and fracture evolution in shear cutting, contributing to the advancement of state-of-the-art shear cutting simulations. Moreover, the results highlights the significance of circumferential variations in sheared edge morphology, emphasising the need for precise cutting conditions and tool maintenance. These advancements contribute to the optimisation of shear cutting processes and broader applications of PFEM in large deformation solid mechanics, supporting the development of lightweight, high-performance AHSS structures.

Place, publisher, year, edition, pages
Luleå: Luleå tekniska universitet, 2025
Series
Doctoral thesis / Luleå University of Technology 1 jan 1997 → …, ISSN 1402-1544
Keywords
Shear cutting, AHSS, Shear affected zone, Sheared edge damage, Edge cracking, PFEM
National Category
Solid and Structural Mechanics
Research subject
Solid Mechanics
Identifiers
urn:nbn:se:ltu:diva-111944 (URN)978-91-8048-783-2 (ISBN)978-91-8048-784-9 (ISBN)
Public defence
2025-05-06, E231, Luleå University of Technology, Luleå, 09:00 (English)
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Supervisors
Available from: 2025-03-11 Created: 2025-03-10 Last updated: 2025-04-11Bibliographically approved

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Sandin, OlleRodriguez, Juan ManuelHammarberg, SamuelKajberg, JörgenCasellas, Daniel

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