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

Jan Eliáš; Miroslav Vořechovský; Jan Skoček; Zdeněk P. Bažant

doi:10.1016/j.engfracmech.2015.01.004

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

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	1-16
Number of pages	16
Journal	Engineering Fracture Mechanics
Volume	135
DOIs	https://doi.org/10.1016/j.engfracmech.2015.01.004
State	Published - Feb 1 2015

Keywords

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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title = "Stochastic discrete meso-scale simulations of concrete fracture: Comparison to experimental data",

abstract = "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.",

keywords = "Concrete structures, Discrete model, Energy dissipation, Fracture testing, Lattice-particle models, Notch depth effect, Size effect, Statistical methods",

author = "Jan Eli{\'a}{\v s} and Miroslav Vo{\v r}echovsk{\'y} and Jan Sko{\v c}ek and Ba{\v z}ant, {Zden{\v e}k P.}",

note = "Funding Information: The presented work was initiated during Fulbright research stay of the first author at the Northwestern University under the supervision of prof. Zden{\v e}k P. Ba{\v z}ant. Further financial support received from the Ministry of Education, Youth and Sports of the Czech Republic under projects LH12062 and LO1408 “AdMaS UP - advanced Materials, Structures and Technologies” under the “National Sustainability Programme I” and the Czech Science Foundation under project GA13-03662S is gratefully acknowledged. ",

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AU - Skoček, Jan

AU - Bažant, Zdeněk P.

N1 - Funding Information: The presented work was initiated during Fulbright research stay of the first author at the Northwestern University under the supervision of prof. Zdeněk P. Bažant. Further financial support received from the Ministry of Education, Youth and Sports of the Czech Republic under projects LH12062 and LO1408 “AdMaS UP - advanced Materials, Structures and Technologies” under the “National Sustainability Programme I” and the Czech Science Foundation under project GA13-03662S is gratefully acknowledged.

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N2 - 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.

AB - 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.

KW - Concrete structures

KW - Discrete model

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KW - Lattice-particle models

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KW - Statistical methods

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