Probability Based Size Effect Representation for Failure in Civil Engineering Structures Built of Heterogeneous Materials

Ibrahimbegović, Adnan; Colliat, Jean‐Baptiste; Hautefeuille, Martin; Brancherie, Delphine; Melnyk, Sergiy

doi:10.1007/978-90-481-9987-7_15

Cited by 7 publications

(5 citation statements)

References 29 publications

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“…The proposed multi-scale approach where the results of fine scale are used to construct the corresponding probabilistic bounds on material properties have already provided a very recent breakthrough of interpretation of size effect (Ibrahimbegovic et al 2011), with the interplay between dominant failure mechanisms, either fracture process zone or macro-crack, is changing with the specimen size. The extension of this procedure is still to be done for dynamics.…”

Section: Material-scale Interpretation Of Damage Mechanisms and Relatmentioning

confidence: 99%

“…We have also very well advanced in the long process, from early works (Ibrahimbegovic andWilson 1990, 1992) to more recent works (Ibrahimbegovic and Markovic 2003) or (Ibrahimbegovic et al 2008) in development of the robust computational procedure that is able to isolate the most severely damaged zone and deliver the corresponding scenario on the interplay of different local mechanisms in building the global failure mechanisms for structures and systems of any complexity. We have also managed to place such a computational procedure within the framework of probability in order to account for material heterogeneities, and thus construct the corresponding probabilistic bounds (Hautefeuille et al 2009) as well as to obtain the interpretation of the dominant failure mechanism with respect to structure size, or so-called size effect (Ibrahimbegovic et al 2011).…”

Section: Introductionmentioning

confidence: 99%

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Performance Based Earthquake-Resistant Design: Migrating Towards Nonlinear Models and Probabilistic Framework

Ibrahimbegović

Davenne

Markovič³

et al. 2014

Performance-Based Seismic Engineering: Vision for an Earthquake Resilient Society

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In this work we present our recent works that follow two modern tendencies in modelling and design of engineering structures for extreme loading such as earthquakes: (i) fine scale models for providing the simplest, fine-scale interpretation of inelastic damage mechanisms at the origin of energy dissipation and damping phenomena, as opposed to coarse scale of stress resultants; (ii) the role of probability in this kind of modelling approach. We consider application of these ideas first to structures, especially irreplaceable structures, such as nuclear power plants, and move onto the complex systems such as water networks. Keywords

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Section: Material-scale Interpretation Of Damage Mechanisms and Relatmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Performance Based Earthquake-Resistant Design: Migrating Towards Nonlinear Models and Probabilistic Framework

Ibrahimbegović

Davenne

Markovič³

et al. 2014

Performance-Based Seismic Engineering: Vision for an Earthquake Resilient Society

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“…Some numerical models with such possibilities were presented in the studies performed by Nikolic and Ibrahimbegovic (2015), Benkemoun et al (2012), Benkemoun et al (2010). One very important benefit of such a mechanic-based approach is in its ability to predict the size effect, explaining why the dominant failure mode of the (same) composite material can change depending upon the specimen size (Ibrahimbegovic et al ., 2011).…”

Section: Findings Comparisons and Evaluationsmentioning

confidence: 99%

ANN based investigations of reliabilities of the models for concrete under triaxial compression

Öztekin

2016

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Purpose A lot of triaxial compressive models for different concrete types and different concrete strength classes were proposed to be used in structural analyses. The existence of so many models creates conflicts and confusions during the selection of the models. In this study, reliability analyses were carried out to prevent such conflicts and confusions and to determine the most reliable model for normal- and high-strength concrete (NSC and HSC) under combined triaxial compressions. The paper aims to discuss these issues. Design/methodology/approach An analytical model was proposed to estimate the strength of NSC and HSC under different triaxial loadings. After verifying the validity of the model by making comparisons with the models in the literature, reliabilities of all models were investigated. The Monte Carlo simulation method was used in the reliability studies. Artificial experimental data required for the Monte Carlo simulation method were generated by using artificial neural networks. Findings The validity of the proposed model was verified. Reliability indexes of triaxial compressive models were obtained for the limit states, different concrete strengths and different lateral compressions. Finally, the reliability indexes were tabulated to be able to choose the best model for NSC and HSC under different triaxial compressions. Research limitations/implications Concrete compressive strength and lateral compression were taken as variables in the model. Practical implications The reliability indexes were tabulated to be able to choose the best model for NSC and HSC under different triaxial compressions. Originality/value A new analytical model was proposed to estimate the strength of NSC and HSC under different triaxial loadings. Reliability indexes of triaxial compressive models were obtained for the limit states, different concrete strengths and different lateral compressions. Artificial experimental data were obtained by using artificial neural networks. Four different artificial neural networks were developed to generate artificial experimental data. They can also be used in the estimations of the strength of NSC and HSC under different triaxial loadings.

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“…Notably, to guarantee the reliability of the numerical results, the number of valid cross-sectional planes and of valid sectional lines should be selected large enough, and the number T of iterations needs to meet the representative volume element (RVE). − In this work, N and M are both set to 10000, and the coefficient of variation of the statistical result of the coefficient δ used as a criterion for determining RVE is set to 0.01.…”

Section: Numerical Simulation For δmentioning

confidence: 99%

Modeling Study of the Valid Apparent Interface Thickness in Particulate Materials with Ellipsoidal Particles

Chen

et al. 2013

Ind. Eng. Chem. Res.

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When interfacial layers are viewed as a separate phase, the interface thickness plays an essential role in assessing physicomechanical properties of particulate materials. However, the actual interface thickness is difficult to determine because of the opacity of particulate materials. The apparent interface thickness obtained from sectional analysis is often overestimated, due to the irregularity of surface texture of grain that gives rise to the normal of a cross-sectional plane nonperpendicular to the grain surface. Hence, the determination of the overestimation degree between the apparent value and preconfigured value is very critical to quantify precisely the valid apparent interface thickness. The majority of previous works focused on the overestimation degree for threedimensional (3D) spherical, two-dimensional (2D) elliptical and rectangular particles, whereas little is known about 3D ellipsoidal particles. In this work, a numerical scheme is proposed to obtain the overestimation degree of the interface thickness around ellipsoidal grains. On the basis of the quantitative stereology and geometrical probability, the valid statistical mean apparent interface thickness and overestimation degree are analyzed theoretically. The deduced results show that the two values primarily subject to an unknown coefficient. A sectional analysis numerical algorithm is then implemented to derive the coefficient for an ellipsoidal grain. To test the proposed numerical model, valid theoretical data for spherical and ellipsoidal particles is selected for comparisons. Finally, by the developed numerical model, the effects of geometrical characteristics of ellipsoidal grains and the preconfigured thickness on the overestimation degree and valid apparent interface thickness are investigated in a quantitative manner.

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Probability Based Size Effect Representation for Failure in Civil Engineering Structures Built of Heterogeneous Materials

Cited by 7 publications

References 29 publications

Performance Based Earthquake-Resistant Design: Migrating Towards Nonlinear Models and Probabilistic Framework

Performance Based Earthquake-Resistant Design: Migrating Towards Nonlinear Models and Probabilistic Framework

ANN based investigations of reliabilities of the models for concrete under triaxial compression

Modeling Study of the Valid Apparent Interface Thickness in Particulate Materials with Ellipsoidal Particles

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