Stochastic discrete meso-scale simulations of concrete fracture: Comparison to experimental data

Jan Eliáš*, Miroslav Vořechovský, Jan Skoček, Zdeněk P. Bažant

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

54 Scopus citations


The paper presents a discrete meso-scale model for fracture of concrete taking into account random spatial variability of material parameters. Beams of various sizes, with notches of various depths, are simulated numerically to study the combination of energetic and statistical size effects. A substantial part of material randomness is shown to be caused by random locations of the largest aggregates. Further randomness, due to random fluctuations of material parameters, is considered and an effect of introducing a spatially auto-correlated random field is analyzed. The results of the simulations are compared with recently published experimental data on concrete beams in three-point bending. The differences in the role of randomness in beams of various sizes, with different notch depths, are demonstrated, and differences in energy dissipation are discussed.

Original languageEnglish (US)
Pages (from-to)1-16
Number of pages16
JournalEngineering Fracture Mechanics
StatePublished - Feb 1 2015


  • Concrete structures
  • Discrete model
  • Energy dissipation
  • Fracture testing
  • Lattice-particle models
  • Notch depth effect
  • Size effect
  • Statistical methods

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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