Simulation of fracture using a mesh-dependent fracture criterion in the discrete element method

Andrey V. Dimaki, Evgeny Shilko, Sergey Psakhie, Valentin Popov

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


Recently, Pohrt and Popov have shown that for simulation of adhesive contacts a mesh dependent detachment criterion must be used to obtain the mesh-independent macroscopic behavior of the system. The same principle should be also applicable for the simulation of fracture processes in any method using finite discretization. In particular, in the Discrete Element Methods (DEM) the detachment criterion of particles should depend on the particle size. In the present paper, we analyze how the mesh dependent detachment criterion has to be introduced to guarantee the macroscopic invariance of mechanical behavior of a material. We find that it is possible to formulate the criterion which describes fracture both in tensile and shear experiments correctly.

Original languageEnglish
Pages (from-to)41-50
Number of pages10
JournalFacta Universitatis, Series: Mechanical Engineering
Issue number1
Publication statusPublished - 1 Jan 2018


  • Discrete element method
  • Fracture
  • Mesh-dependence
  • Particle size

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanics of Materials
  • Mechanical Engineering
  • Polymers and Plastics
  • Industrial and Manufacturing Engineering

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