%0 Journal Article %T Three-dimensional bonded-cell model for grain fragmentation %+ Physique et Mécanique des Milieux Divisés (PMMD) %+ Laboratoire des Combustibles Uranium (LCU) %+ Chiang Mai University (CMU) %+ Multiscale Material Science for Energy and Environment (MSE 2) %A Cantor Garcia, David %A Azéma, Émilien %A Sornay, Philippe %A Radjai, Farhang %< avec comité de lecture %@ 2196-4378 %J Computational Particle Mechanics %I Springer Verlag %8 2016 %D 2016 %R 10.1007/s40571-016-0129-0 %K Voronoi cell %K Contact dynamics method %K Discrete element method %K Weibull statistics %K Bonded-cell model %K Fragmentation %Z Engineering Sciences [physics]/Materials %Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph] %Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]Journal articles %X We present a three-dimensional numerical method for the simulation of particle crushing in 3D. This model is capable of producing irregular angular fragments upon particle fragmentation while conserving the total volume. The particle is modeled as a cluster of rigid polyhedral cells generated by a Voronoi tessellation. The cells are bonded along their faces by a cohesive Tresca law with independent tensile and shear strengths and simulated by the contact dynamics method. Using this model, we analyze the mechanical response of a single particle subjected to diametral compression for varying number of cells, their degree of disorder, and intercell tensile and shear strength. In particular, we identify the functional dependence of particle strength on the intercell strengths. We find that two different regimes can be distinguished depending on whether intercell shear strength is below or above its tensile strength. In both regimes, we observe a power-law dependence of particle strength on both intercell strengths but with different exponents. The strong effect of intercell shear strength on the particle strength reflects an interlocking effect between cells. In fact, even at low tensile strength, the particle global strength can still considerably increase with intercell shear strength. We finally show that the Weibull statistics describes well the particlestrength variability. %G English %2 https://hal.science/hal-01365037/document %2 https://hal.science/hal-01365037/file/Three-dimensional-model_Cantor_al_2016.pdf %L hal-01365037 %U https://hal.science/hal-01365037 %~ CEA %~ CNRS %~ LMGC %~ CGP-GATEWAY %~ DEN %~ MIPS %~ UNIV-MONTPELLIER %~ DEN-CAD %~ CEA-CAD %~ AMIDEX %~ ANR %~ UM-2015-2021