Exploring thickness effect on fracture toughness of thin metal sheets: a parametric analysis with advanced Gurson model

Kaniadakis, Antonio;Nguyen, Van Dung;Ludovic, Noels;Pardoen, Thomas
(2024) EMMC19: 19TH EUROPEAN MECHANICS OF MATERIALS CONFERENCE — Location: Madrid, Spain (29.May.2024)

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Thin-walled structures find widespread applications across various fields, such as in automotive and aerospace. Achieving optimal weight reduction is crucial, requiring thin structures while preserving the best combination of ductility, strength, and resistance to crack propagation through a high fracture toughness (FT), e.g. [1]. The literature shows that there exists an optimum thickness, typically in the mm range at which FT exhibits a maximum. Although this has been known for five decades, very few studies attempted at understanding and predicting this optimum FT. In this context, 3D finite element simulations are performed using a so-called small-scale yielding (SSY) model. A SSY model considers a cylindrical region with a very large external radius with a through-thickness crack with the tip located at the center region. Monotonically increasing displacements are applied at the outer periphery following the elastic mode I solution, corresponding to a well-defined applied K_I value. In this work, we present the results of a parameter study, relying on the nonlocal advanced Gurson model by Nguyen et al. [2]. This model has been validated against direct experimental data, recently demonstrating its capacity to, among others, capture thickness effects in the case of a flat crack propagation mode. The goal is to explore the effects of plate thickness, hardening law, and damage parameters on FT and in particular, on the FT thickness dependence. In particular, the focus is on the peak FT and the corresponding thickness, and how these are affected by the material parameters. REFERENCES [1] 10.1016/j.actamat.2023.119280 [2] 10.1016/j.jmps.2020.103891
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Kaniadakis, A., Nguyen, V. D., Ludovic, N., & Pardoen, T. (2024). Exploring thickness effect on fracture toughness of thin metal sheets: a parametric analysis with advanced Gurson model. EMMC19: 19TH EUROPEAN MECHANICS OF MATERIALS CONFERENCE, Madrid, Spain. https://hdl.handle.net/2078.5/234973