Modeling of the Behavior of Concrete Specimens Under Uniaxial Tensile Stresses Through the Use of a 3D Probabilistic Semi-explicit Model

Rita, Mariane Rodrigues; Fairbairn, Eduardo de M. R.; Ribeiro, Fernando L. B.; Tailhan, Jean‐Louis; Rossi, Pierre; Andrade, H. C. C.; Mota, Magno T.

doi:10.1007/978-3-031-07746-3_30

Cited by 2 publications

(20 citation statements)

References 5 publications

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“…Implemented within a platform continually refined by researchers from the Civil Engineering Department at COPPE/UFRJ, the code is written in FORTRAN language. This platform has served as a foundational tool for numerous studies across various applications over the years [16,23,24].…”

Section: Probabilistic Model Formulationmentioning

confidence: 99%

“…Subsequently, through a straightforward algebraic operation, lognormally distributed random variables are obtained. Additional details regarding these random number generation procedures can be found in the work by Rita [16].…”

Section: Fracture Energy Random Generationmentioning

confidence: 99%

“…Through this iterative process, a pair of (b, c) values is determined for each finite element based on its V e , as well as the concrete's V a and f c . Detailed implementation of this iterative procedure can be found in Rita [16].…”

Section: Estimation Of the Model's Parametersmentioning

confidence: 99%

“…The selection of this parallelization strategy stems from its ease of implementation and compatibility with the proposed methodology, which necessitates conducting numerous independent analyses. However, an in-depth discussion regarding the intricacies of parallelization extends beyond the scope of this work and is available in Rita [16] for further insight. Finalize the parallel environment 13: end while 14: Perform the statistical analysis…”

Section: Parallel Monte Carlo Implementationmentioning

confidence: 99%

“…These modeling approaches mainly follow deterministic principles. However, there exist also probabilistic models that utilize statistical techniques to directly address material heterogeneity, offering promising alternatives for numerically simulating the nonlinear behavior of concrete structures [12][13][14][15][16]. Among the probabilistic models, two distinct formulations have emerged, differing in their approach to cracking analysis (whether it focuses on crack initiation, localization, or propagation) and their treatment of kinematic discontinuities associated with cracks, namely, explicit and semi-explicit models.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Three-Dimensional Probabilistic Semi-Explicit Cracking Model for Concrete Structures

Rita,

Rossi,

Fairbairn

et al. 2024

Applied Sciences

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This paper introduces a three-dimensional (3D) semi-explicit probabilistic numerical model for simulating crack propagation within the framework of the finite element method. The model specifically addresses macrocrack propagation using linear volume elements. The criteria governing the macrocrack propagation is based on the softening behavior observed in concrete under uniaxial tension. This softening behavior corresponds to a dissipated cracking energy that is equal to the mode I critical fracture energy (GIC) used in the Linear Elastic Fracture Mechanics theory (LEFM). The probabilistic nature of this model revolves around the random distribution of two mechanical properties: tensile strength (ft) and fracture energy, which varies based on the volume of finite elements. The scattering of the fracture energy increases as the volume of finite elements decreases in order to consider the strong heterogeneity of the material. This work primarily aims to estimate the relationship between the standard deviation of GIC and the volume of finite elements through the development of the numerical model. For this purpose, an inverse analysis is conducted based on a fracture mechanical test simulation. This test involves macrocrack propagation in a large Double Cantilever Beam (DCB) specimen with a crack length exceeding two meters. The proposed inverse analysis procedure yields highly significant results, indicating that the numerical model effectively evaluates both crack length and crack opening during propagation.

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Section: Probabilistic Model Formulationmentioning

confidence: 99%

Section: Fracture Energy Random Generationmentioning

confidence: 99%

Section: Estimation Of the Model's Parametersmentioning

confidence: 99%

Section: Parallel Monte Carlo Implementationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Three-Dimensional Probabilistic Semi-Explicit Cracking Model for Concrete Structures

Rita,

Rossi,

Fairbairn

et al. 2024

Applied Sciences

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Determination of the Probabilistic Properties of the Critical Fracture Energy of Concrete Integrating Scale Effect Aspects

Rita,

Rossi,

Fairbairn

et al. 2024

Applied Sciences

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This paper presents an extension of the validation domain of a previously validated three-dimensional probabilistic semi-explicit cracking numerical model, which was initially validated for a specific concrete mix design. This model is implemented in a finite element code. The primary objective of this study is to propose a function that enables the estimation of the critical fracture energy parameter utilized in the model and validate its effectiveness for various concrete mix designs. The model focuses on macrocrack propagation and introduces significant aspects such as employing volume elements for simulating macrocrack propagation and incorporating two key factors in governing its behavior. Firstly, macrocrack initiation is linked to the uniaxial tensile strength (ft). Secondly, macrocrack propagation is influenced by a post-cracking dissipation energy in tension. This energy is taken equal to the mode I critical fracture energy (GIC) based on the linear elastic fracture mechanics theory. Importantly, both ft and GIC are probabilistic properties influenced by the volume of concrete under consideration. Consequently, in the numerical model, they are dependent on the volume of the finite elements employed. To achieve this objective, numerical simulations of fracture mechanical tests are conducted on a large double cantilever beam specimen. Through these simulations, we validate the proposed function, which is a crucial step towards expanding the model’s applicability to all concrete mix designs.

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Modeling of the Behavior of Concrete Specimens Under Uniaxial Tensile Stresses Through the Use of a 3D Probabilistic Semi-explicit Model

Cited by 2 publications

References 5 publications

Three-Dimensional Probabilistic Semi-Explicit Cracking Model for Concrete Structures

Three-Dimensional Probabilistic Semi-Explicit Cracking Model for Concrete Structures

Determination of the Probabilistic Properties of the Critical Fracture Energy of Concrete Integrating Scale Effect Aspects

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