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Computational Particle Mechanics

, Volume 4, Issue 4, pp 441–450 | Cite as

Three-dimensional bonded-cell model for grain fragmentation

  • D. CantorEmail author
  • E. Azéma
  • P. Sornay
  • F. Radjai
Article

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.

Keywords

Bonded-cell model Fragmentation Discrete element method Contact dynamics method Voronoi cell Weibull statistics 

Notes

Acknowledgments

This work was financially supported by a research grant awarded by the French Alternative Energies and Atomic Energy Commission (CEA). Farhang Radjai would also like to acknowledge the support of the ICoME2 Labex (ANR-11-LABX-0053) and the A*MIDEX projects (ANR-11-IDEX-0001-02) cofunded by the French program Investissements d’Avenir, managed by the French National Research Agency (ANR).

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Copyright information

© OWZ 2016

Authors and Affiliations

  1. 1.Laboratoire de Mécanique et Génie Civil (LMGC)Université de Montpellier, CNRSMontpellierFrance
  2. 2.CEA, DEN, DEC, SFER, LCUSaint Paul lez DuranceFrance
  3. 3.Department of Mechanical Engineering, Faculty of EngineeringChiang Mai UniversityChiang MaiThailand
  4. 4.Multi-Scale Materials Science for Energy and Environment<MSE>2, UMI 3466 CNRS-MIT Energy InitiativeMassachusetts Institute of TechnologyCambridgeUSA

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