Journal
ENGINEERING FRACTURE MECHANICS
Volume 135, Issue -, Pages 1-16Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.engfracmech.2015.01.004
Keywords
Discrete model; Lattice-particle models; Energy dissipation; Statistical methods; Size effect; Fracture testing; Notch depth effect; Concrete structures
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Funding
- Ministry of Education, Youth and Sports of the Czech Republic [LH12062, LO1408]
- Czech Science Foundation [GA13-03662S]
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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. (C) 2015 Elsevier Ltd. All rights reserved.
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