Mesoscopic Simulation of Failure of Mortar and Concrete by 2D RBSM

Nagai, Kohei; Sato, Yoshiaki; Ueda, Tamon

doi:10.3151/jact.2.359

Cited by 132 publications

(110 citation statements)

References 17 publications

(26 reference statements)

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“…3b. The slope for tension softening is assumed to be unique, with values chosen in such a way that the average tensile strength at the average initial stiffness would resolve to a stress-free maximum crack width equal to 0.03 mm, which is the value assumed in Nagai et al (2004). The reason of this change in the assumption for the meso-scale model is the experimental fact that the stress-free maximum crack width in tension softening in macro-scale increases slightly with the maximum tensile stress in macro-scale (JSCE 2005b).…”

Section: Summary and Modification Of Nagai's Modelsmentioning

confidence: 99%

“…The models developed in this study are mostly based on those developed by Nagai et al (2004) for non-damaged concrete with some modifications. In those models, the authors assumed that no fracturing occurs in compression and that the tensile strength of the mortar and its interfaces has a truncated normal distribution with the following probability density function:…”

Section: Summary and Modification Of Nagai's Modelsmentioning

confidence: 99%

“…At the meso-scale, in which concrete is considered a composite material with three-phases (aggregates, mortar and interfacial transition zones between them), Nagai et al (2004;2005) succeeded in simulating the failure mechanism and failure modes of mortar and concrete specimens using both two-and three-dimensional methods. By incorporating accurate meso-scale morphology, realized using an image-based geometry modeling technique, into a lattice-type numerical model, Asai et al (2003) simulated the cracking behavior of concrete induced by meso-scale heterogeneities.…”

Section: Introductionmentioning

confidence: 99%

“…In recent years, there have been many studies on the mesoscopic modeling of concrete and concrete structures subjected to mechanical loading (Nagai et al 2004;2005;Stroeven and Stroeven 2001;Asai et al 2003;Bazant et al 2004). At the meso-scale, in which concrete is considered a composite material with three-phases (aggregates, mortar and interfacial transition zones between them), Nagai et al (2004;2005) succeeded in simulating the failure mechanism and failure modes of mortar and concrete specimens using both two-and three-dimensional methods.…”

Section: Introductionmentioning

confidence: 99%

“…Normal and shear elastic moduli are calculated by assuming a plane stress condition as follows (Nagai et al 2004).…”

Section: Introductionmentioning

confidence: 99%

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Mesoscale Simulation of Influence of Frost Damage on Mechanical Properties of Concrete

Ueda

Hasan

Nagai

et al. 2009

J. Mater. Civ. Eng.

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Meso-scale constitutive models of frost-damaged concrete are developed in this study through numerical simulation using a two-dimensional Rigid Body Spring Model (RBSM). The aim of the simulation is to predict the macro behavior of frost-damaged concrete subjected to mechanical loading. The models also clarify the difference in failure behavior of concrete with and without frost damage. Zero strength elements and the concept of meso-scale plastic tensile strain are introduced into the normal RBSM springs to consider the experimentally observed cracking and plastic deformation caused by frost damage. The difference in the effect of frost damage on compression and tension behavior as found in the experiments is clearly predicted.Finally, analysis of notched beam subjected to bending after different degrees of frost damage is

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Section: Summary and Modification Of Nagai's Modelsmentioning

confidence: 99%

Section: Summary and Modification Of Nagai's Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Normal and shear elastic moduli are calculated by assuming a plane stress condition as follows (Nagai et al 2004).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Mesoscale Simulation of Influence of Frost Damage on Mechanical Properties of Concrete

Ueda

Hasan

Nagai

et al. 2009

J. Mater. Civ. Eng.

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3‐D mesoscale simulation of crack‐permeability coupling in the Brazilian splitting test

Benkemoun

Al-Khazraji

Poullain

et al. 2017

Num Anal Meth Geomechanics

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Summary In this paper, mesoscale hydromechanical simulations are performed to study (1) fracture features and (2) crack‐gas permeability coupling evolution in the context of the tensile splitting test. The mesostructure is based on a 2‐phase 3‐D representation of heterogeneous materials, such as concrete, where stiff aggregates are embedded into a mortar matrix. To take into account these heterogeneities without any mesh adaptation, a weak discontinuity is introduced into the strain field. In addition, a strong discontinuity is also added to take into account microcracking. This mechanical model is cast into the framework of the enhanced finite element method. Concerning the coupling with gas permeability, a double‐porosity method is used to simulate the flow through the cracks and the porosity. The apparent gas permeability is afterwards evaluated by a homogenization method. On the basis of finite element simulations, influence of aggregate size on ultimate crack opening, macroscopic ultimate tensile stress, total dissipated energy, and gas permeability evolution is numerically investigated. Furthermore, gas permeability evolution is also compared with experimental results from the literature. In addition, in the spirit of a sequential multiscale approach, macroscale gas permeability equations are identified from the hydromechanical results coming from the mesoscale computations. These equations lead to a relation between macroscale gas permeability evolution and crack opening. Besides, we show how the aggregate size influences the percolation threshold and that after this threshold, a cubic relation between macroscale gas permeability and crack opening is obtained.

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Symmetric high order microplane model for damage localization and size effect in quasi‐brittle materials

Lale

Cusatis

2021

Num Anal Meth Geomechanics

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This paper presents the so‐called symmetric high‐order microplane (SYHOM) model for the simulation of damage localization and size effect in quasi‐brittle materials. Contrarily to its predecessor, the high order microplane (HOM) model, SYHOM is formulated without rotational degrees of freedom, does not require couple stresses, and solves stability issues created by the antisymmetric components of stress and high order stress tensors. Furthermore, the formulation features variable, damage‐dependent localization limiter and nonlocal characteristic length that allows reproducing correctly size and shape of the fracture process zone during the entire softening process: from crack initiation to the formation of a stress‐free fracture. The paper highlights the implementation of SYHOM via isogeometric analysis with quadratic shape functions and presents several numerical simulations to demonstrate SYHOM's ability to simulate damage evolution during softening. Finally, SYHOM is validated by simulating experimental data relevant to the size effect on structural strength of notched concrete samples.

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Mesoscopic Simulation of Failure of Mortar and Concrete by 2D RBSM

Cited by 132 publications

References 17 publications

Mesoscale Simulation of Influence of Frost Damage on Mechanical Properties of Concrete

Mesoscale Simulation of Influence of Frost Damage on Mechanical Properties of Concrete

3‐D mesoscale simulation of crack‐permeability coupling in the Brazilian splitting test

Symmetric high order microplane model for damage localization and size effect in quasi‐brittle materials

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