Non‐intrusive global/local analysis for the study of fine cracking

Oliver-Leblond, Cécile; Delaplace, Arnaud; Richard, Benjamin

doi:10.1002/nag.2155

Cited by 15 publications

(15 citation statements)

References 30 publications

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“…One should note that the convergence of the failure properties -such as the peak load or the amount of dissipated energy -cannot be achieved with this kind of model [34]. However, an increase in the number of particles still leads to a decrease of the dispersion of all the properties -be they elastic or failure properties.…”

Section: Particle Sizementioning

confidence: 98%

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Beam-particle approach to model cracking and energy dissipation in concrete: Identification strategy and validation

Vassaux¹,

Oliver-Leblond²,

Richard³

2016

Cement and Concrete Composites

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This paper focuses on the application of a beam-particle model to study the failure of concrete under complex loading. The formulation of the model is based both on lattice models and discrete elements models in order to capture cohesion, failure and frictional contact of the crack surfaces. To correctly describe the elastic phase, the peak load and the post-peak phase, the failure criteria is discussed and heterogeneities are introduced. The calibration of this model is detailed and illustrated. Finally, several test cases are analysed in order to validate the model.

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Section: Particle Sizementioning

confidence: 98%

“…Special attention has to be paid to the boundary conditions and a strategy to apply frictional sliding has been proposed. the level of precision of the cracking pattern description [34].…”

Section: Fixed Supportsmentioning

confidence: 99%

Beam-particle approach to model cracking and energy dissipation in concrete: Identification strategy and validation

Vassaux¹,

Oliver-Leblond²,

Richard³

2016

Cement and Concrete Composites

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“…

P_{ij} = ((), \frac{ε_{ij}}{ε_{cr}}) + ((), \frac{(||, θ_{i} - θ_{j})}{θ_{cr}}) < 1

with ε_{ij} = \frac{u_{i} - u_{j}}{l_{b, ij}}

where ε c r and θ c r are material parameters, which define the perfectly brittle behavior of the beams of the lattice model. For every beam, the couple of parameters is statistically determined by means of a Weibull distribution , identified by inverse fitting tension and compression simulations with experimental force‐displacement curves . The Weibull distribution is defined as:

f (x, λ, k) = \frac{k}{λ} {((), \frac{x}{λ})}^{k - 1} e^{- {((), x / λ)}^{k}}

where f is the value to be computed statistically (i.e., ε or θ ); x is a random number (different for every link); λ and k are two parameters called, respectively, scale and shape factor, which define the Weibull distribution.…”

Section: The Lattice Discrete Elements Modelmentioning

confidence: 99%

Lattice models applied to cyclic behavior description of quasi‐brittle materials: advantages of implicit integration

Vassaux

Richard

Millard

et al. 2014

Num Anal Meth Geomechanics

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SummaryComprehension and quantification of quasi‐brittle materials behavior require complex experiments when focusing on cyclic or multi‐axial loadings. As an alternative, virtual testing, which can be computed using lattice discrete elements models (LDEM), is particularly interesting. LDEM already provide a physical description of the quasi‐brittle materials behavior, but further attention has to be paid to numerical integration. LDEM are explicitly integrated, such integration has been proven in the literature to be accurate when cracking is involved, by means of efficient schemes such as the ‘Saw‐tooth’ algorithm. In order to extend the range of application of the LDEM to more complex loading paths, such as compressive or cyclic loadings, involving contact and friction mechanisms, qualitativeness as well as quantitativeness of explicit integration has to be assessed anew. We hereby propose an implicit quasi‐static integration scheme for LDEM based on specific non‐linearities encountered in quasi‐brittle materials, namely contact and fracture, to circumvent expected stability and accuracy issues. Efficiency of both schemes is investigated by means of simulations of a uniaxial cyclic test and a compression test. Copyright © 2014 John Wiley & Sons, Ltd.

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“…This approach allows to give local information relative to cracking (e.g. location, opening...) by reanalyzing the damaged areas of the structure studied in a continuous framework (Oliver-Leblond et al 2013). the global scale, the nonlinear behavior of the structure is described thanks to the model presented in Section 2.…”

Section: Cracking Analysis Of a Continuous Mediamentioning

confidence: 99%

“…Finally, the calibration of the breaking thresholds of the beam ε cr and θ cr allows us to fit the peak and post-peak behaviour of the global model. The calibration is performed on an independent case study (Oliver-Leblond et al 2013). Our study focuses on a fine description of crack pattern and on the measurement of the crack opening.…”

Section: Local Modelmentioning

confidence: 99%

Non-local model and global-local cracking analysis for the study of size effect

Giry¹,

Oliver-Leblond²,

Kishta³

2014

Computational Modelling of Concrete Structures

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The problematic of size effect for quasi-brittle materials and more particularly for concrete has been widely studied during the last decades. Several approaches have been proposed to describe and explain why the strength decreases as the size increases. Indeed, the capacity of a model to describe the size effect matters greatly when dealing with the modelling of structures. A study of size effect is proposed in this article by considering several notched concrete beams submitted to a three points bending test. To describe the nonlinear behavior of concrete, two different nonlocal regularization methods (the original method and a method proposed recently by one of the authors) are compared to analytical model and to experimental results available in the literature in order to assess their capacity to describe size effect at the global scale as well as at the local scale. More particularly, a quantification of the crack field is obtained by using a discrete elements reanalysis method proposed recently by two of the authors. This last analysis brings an additional element to discriminate or not model capacity to describe size effect of quasi-brittle materials.

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Non‐intrusive global/local analysis for the study of fine cracking

Cited by 15 publications

References 30 publications

Beam-particle approach to model cracking and energy dissipation in concrete: Identification strategy and validation

Beam-particle approach to model cracking and energy dissipation in concrete: Identification strategy and validation

Lattice models applied to cyclic behavior description of quasi‐brittle materials: advantages of implicit integration

Non-local model and global-local cracking analysis for the study of size effect

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