The discrete element method is used to study the influence of strain rate on the fracture behavior of porous brittle materials. Dynamic uniaxial tensile tests are simulated on 2D idealized samples. In such high strain rate simulation, initial and boundary conditions must be chosen carefully to achieve a uniform loading of the sample and initial conditions in order to interpret properly the results obtained. A new initial condition is developed by using an initial velocity field in accordance with the heterogeneous microstructure. High strain rates ($> 10^6\,\mathrm{s}^{-1}$) condition have been achieved while ensuring force equilibrium. The numerical results show an increase of the maximum stress at failure, as well as the transition from single to multiple fragmentation, which are inline with experimental observations. Cracks path and stress field are also analyzed to understand the transition from single to multiple fragmentation, and an obscuration phenomenon linked to the microstructure is successfully identified.
La méthode des éléments discrets est utilisée pour étudier l’influence de la vitesse de déformation sur la fracturation des matériaux fragiles-poreux. Des essais de tractions uniaxiales dynamiques sont simulés sur des échantillons idéalisés en 2D. De par les très hautes vitesses de déformations mises en jeu, les conditions initiales et les conditions aux limites doivent être définies avec soin pour s’assurer que le chargement est uniforme au sein de l’échantillon afin de faciliter l’interprétation des résultats. Une nouvelle condition initiale est développée en appliquant un champ de vitesse initiale dans l’échantillon en accord avec sa microstructure hétérogène. Ceci permet d’atteindre des très hautes vitesses de déformation ($> 10^6\,\mathrm{s}^{-1}$) tout en ayant un équilibre des forces qui s’appliquent sur l’échantillon. Les résultats numériques montrent une augmentation de la contrainte à rupture ainsi que la transition d’un mode de rupture simple à un mode multifragmenté. Ces observations correspondent aux observations expérimentales de la littérature. Les chemins de fissuration et les champs de contraintes sont aussi analysés pour comprendre l’origine de ces évolutions, qui est attribuée à un phénomène d’occultation lié à la microstructure.
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Mots-clés : Méthode des Élements Discrets, fragmentation, dynamique, microstructure
Vincent Longchamp 1 , 2 , 3 , 4 ; Jérémie Girardot 2 , 3 ; Damien André 4 ; Frédéric Malaise 1
CC-BY 4.0
@article{CRMECA_2025__353_G1_1085_0,
author = {Vincent Longchamp and J\'er\'emie Girardot and Damien Andr\'e and Fr\'ed\'eric Malaise},
title = {Development of a numerical protocol for the very high strain rate dynamic fragmentation of porous-brittle materials at the microstructure scale},
journal = {Comptes Rendus. M\'ecanique},
pages = {1085--1108},
year = {2025},
publisher = {Acad\'emie des sciences, Paris},
volume = {353},
doi = {10.5802/crmeca.328},
language = {en},
}
TY - JOUR AU - Vincent Longchamp AU - Jérémie Girardot AU - Damien André AU - Frédéric Malaise TI - Development of a numerical protocol for the very high strain rate dynamic fragmentation of porous-brittle materials at the microstructure scale JO - Comptes Rendus. Mécanique PY - 2025 SP - 1085 EP - 1108 VL - 353 PB - Académie des sciences, Paris DO - 10.5802/crmeca.328 LA - en ID - CRMECA_2025__353_G1_1085_0 ER -
%0 Journal Article %A Vincent Longchamp %A Jérémie Girardot %A Damien André %A Frédéric Malaise %T Development of a numerical protocol for the very high strain rate dynamic fragmentation of porous-brittle materials at the microstructure scale %J Comptes Rendus. Mécanique %D 2025 %P 1085-1108 %V 353 %I Académie des sciences, Paris %R 10.5802/crmeca.328 %G en %F CRMECA_2025__353_G1_1085_0
Vincent Longchamp; Jérémie Girardot; Damien André; Frédéric Malaise. Development of a numerical protocol for the very high strain rate dynamic fragmentation of porous-brittle materials at the microstructure scale. Comptes Rendus. Mécanique, Volume 353 (2025), pp. 1085-1108. doi: 10.5802/crmeca.328
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