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Three-dimensional bonded-cell model for grain fragmentation

TitleThree-dimensional bonded-cell model for grain fragmentation
Publication TypeJournal Article
Year of Publication2017
AuthorsCantor D, Azéma E, Sornay P, Radjaï F
JournalComputational Particle Mechanics
Volume4
Issue4
Start Page Special Issue: SI
Pagination441 - 450
Date PublishedOct-2017
ISSN2196-4378
KeywordsBonded-cell model; Fragmentation; Discrete element method; Contact dynamics method; Voronoi cell; Weibull statistics
Abstract

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 particle strength variability.

URLhttp://link.springer.com/10.1007/s40571-016-0129-0
DOI10.1007/s40571-016-0129-0
Short TitleComp. Part. Mech.
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