Fracturing in concrete via lattice-particle model

Jan EliáŠ*, Zdenek P Bazant

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

14 Scopus citations


Numerical simulation is used to explore the behavior of concrete beams of different sizes and different notch lengths, loaded in three-point bending. The entire range of notch depth is studied. One limit case is type 1 fracture, which occurs when the notch depth is zero and the crack initiates from a smooth surface (this is the case of the modulus of rupture test). Another limit is type 2 fracture, which occurs for deep enough notches. Both cases exhibit very different size effects. The fracture is simulated numerically with a robust mesolevel lattice-particle model. The results shed light on the transitional behavior in which the notch depth is non-zero but not deep enough for developing the the type 2 size effect dominated by energy release from the structure. In agreement with experimental observations and theoretical predictions, the numerical results show evidence of a decreasing macroscopic fracture energy as the ligament gets very short.

Original languageEnglish (US)
Title of host publicationParticle-Based Methods II - Fundamentals and Applications
Number of pages12
StatePublished - Dec 1 2011
Event2nd International Conference on Particle-Based Methods, PARTICLES 2011 - Barcelona, Spain
Duration: Oct 26 2011Oct 28 2011

Publication series

NameParticle-Based Methods II - Fundamentals and Applications


Other2nd International Conference on Particle-Based Methods, PARTICLES 2011


  • Concrete
  • Fracture
  • Lattice-particle model
  • Notch variability
  • Size effect

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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