A reappraisal of the essential work of fracture method based on full three-dimensional advanced Gurson-based finite element simulations

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

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The essential work of fracture (EWF) has been used for long to characterise the cracking resistance of thin ductile sheet metals. The EWF corresponds to the plastic and fracture dissipation per unit crack surface spent in the fracture process zone (FPZ), where necking and damage occur. To experimentally extract EWF, pre-cracked thin specimens with different ligament lengths are loaded until full fracture. The energy expenditure can be separated into a diffused plastic zone (DPZ) and a localised FPZ. Because the plastic dissipations in these zones scale differently, they can be separated using geometrically similar specimens with different ligament lengths, e.g. double edge notched tension (DENT) specimens. As a result, the EWF is extracted as the dissipation per surface area spent in FPZ, averaged over the entire crack propagation. The main drawback of the EWF method is with the need for using many geometrically similar specimens of different sizes. The objective of this study is to perform full 3D finite element simulations of DENT specimens with a micromechanics-based ductile fracture model to determine the EWF and to explore the major factors affecting the EWF. A recently developed nonlocal advanced Gurson-based model [1] is used for this purpose and applied to several materials. For each material, the parameters are first identified and then validated with the corresponding experimental data. Next, geometrically similar DENT specimens with a wide range of ligaments as well as thicknesses are simulated to extract EWF as a function of the material parameters and thickness. The results, among others, essentially confirm the empirical rules of validity for the EWF, now rooted on a fundamental micromechanics-based analysis. References: [1] https://doi-org.proxy.bib.uclouvain.be:2443/10.1016/j.jmps.2020.103891
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Nguyen, V. D., Hilhorst, A., Kaniadakis, A., Ludovic, N., & Pardoen, T. (2024). A reappraisal of the essential work of fracture method based on full three-dimensional advanced Gurson-based finite element simulations. EMMC19 : 19TH EUROPEAN MECHANICS OF MATERIALS CONFERENCE, Madrid, Spain. https://hdl.handle.net/2078.5/234974