Granular Matter

, 19:41 | Cite as

DEM simulation of polyhedral particle cracking using a combined Mohr–Coulomb–Weibull failure criterion

  • Anton Gladkyy
  • Meinhard KunaEmail author
Original Paper


In this work, at first a new failure criterion for breakage of brittle particle systems is proposed, which combines the classical Mohr–Coulomb strength criterion with the probabilistic Weibull concept. This failure criterion is especially applicable to particle systems under compression load and accounts for the size-dependence of the material’s strength. Second, the Discrete Element Method (DEM) is implemented for sharp edged particles of convex polyhedral shape. The Mohr–Coulomb–Weibull criterion is integrated into the running DEM procedure to simulate progressive particle cracking and comminution of particle systems. The feasibility of the model was tested with simple uniaxial and triaxial compressive loading states, and the influence of relevant material parameters was studied. As a first application example of the method, an oedometric experiment was simulated, whereby coarse quartzite particles are compressed in a piston-die press. The results show good qualitative agreement with the experimentally observed particle size distribution. Thus, the ability of the suggested approach has been proved to reproduce important features as the size effect and the influence of stress state.


DEM Polyhedral particle Failure criterion Mohr–Coulomb–Weibull Particle breakage 



The authors express their sincere appreciations to Prof. H. Lieberwirth and M. Klichowicz (Institute of Mineral Processing Machines) for the provided experimental data. This work was funded by the German Research Foundation, Project DFG KU 929/19-2.

Compliance with ethical standards

Conflict of interest

The author declares that they have no conflict of interest.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Institute of Mechanics and Fluid DynamicsTU Bergakademie FreibergFreibergGermany

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