Embedded finite element formulation for the modeling of chloride diffusion accounting for chloride binding in meso-scale concrete

Benkemoun, Nathan; Hammood, Mohammed Naji; Amiri, Ouali

doi:10.1016/j.finel.2017.03.003

Cited by 14 publications

(6 citation statements)

References 54 publications

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“…Suryavanshi [9] proposed an approach to evaluate chloride diffusion coefficient in concrete through chloride ion erosion test results on reinforced concrete slabs. In addition to the above model, some service life models, such as the mathematical statistics method [10], meshless Galerkin method [11,12], finite element method [13,14], artificial neural network model [15,16], and Novel Machine Learning Techniques [17] have been used for the prediction of the distribution of chloride concentration in concrete. Simultaneously, to facilitate the description of the uncertainty and randomness of the chloride diffusion process in concrete, some scholars have proposed a series of probabilistic prediction models for describing the chloride diffusion process in concretes by taking the randomness of the main calculation parameters into consideration [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Simulation Approach for Random Diffusion of Chloride in Concrete under Sustained Load with Cellular Automata

Lin

2022

Materials

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Steel bar corrosion caused by chloride is the major reason for concrete structure durability failures in a corrosive environment. An accurate simulation of chloride ion diffusion in concrete is hence critical to durability design, maintenance, and reinforcement of concretes in erosive environments. To accurately simulate actual chloride ion diffusion in concretes, an improved three-dimensional neighborhood type is proposed according to the mechanism of chloride ion diffusion in concrete, and a three-dimensional cellular automaton model (3D CA model) for describing the diffusion process of chloride in concrete is established based on this neighborhood type. The accuracy and correctness of simulation results obtained from the 3D CA model were verified by comparison with Fick’s second law analytical solutions. Based on the 3D CA model, an improved modified 3D CA model is developed (3D RTCA model) which takes into account random chloride ion distribution in concrete, the time dependence of the coefficient of chloride ion diffusion, and the structure stress level effect on chloride ion diffusion. Numerical simulation results reveal that the 3D RTCA model has higher calculation accuracy in predicting long-term concentration of chloride in concretes, and the simulation results are closer to experimental findings than analytical results obtained based on Fick’s second law. Compared with Fick’s second law analytical solutions, the 3D RTCA model can reflect more truly the cross-sectional stress level effect on chloride ion diffusion through simple local evolution rules. Besides, the 3D RTCA model can genuinely describe the randomness and uncertainty of the chloride diffusion process. The 3D RTCA model developed in the current study provides a novel perspective and method to investigate chloride ion diffusion in concrete from structural level.

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Section: Introductionmentioning

confidence: 99%

Simulation Approach for Random Diffusion of Chloride in Concrete under Sustained Load with Cellular Automata

Lin

2022

Materials

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“…Furthermore, three‐dimensional (3D) meso‐scale structure of concrete has been established via a discrete element formulation, as shown in recent numerical (Grassl & Bolander, 2016; Shen et al., 2020) studies. Based on 3D meso‐scale concrete model, a homogenization method was adopted for macroscopic diffusivity tensors computation (Benkemoun, Hammood, & Amiri, 2017). The accuracy of proposed numerical technique was demonstrated by comparison with Maxwell's equation that calculates the macroscopic diffusivity in a binary material system with spherical inclusions.…”

Section: Introductionmentioning

confidence: 99%

Meso‐scale modeling of chloride diffusivity in mortar subjected to corrosion‐induced cracking

Qiu

2021

Computer aided Civil Eng

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This paper presents a methodology for numerically simulating the chloride diffusivity in mortar subjected to corrosion‐induced cracking with the aid of X‐ray microcomputed tomography (X‐ray µCT). In the research, the mortar sample with embedded steel rod was subjected to accelerated corrosion and then scanned by X‐ray µCT at consecutive corrosion periods of 0, 1,000, and 2,000 minutes. Upon the scanned CT images, a meso‐scale model consisting of multiple material phases with their intrinsic structures was built up and implemented into a finite element method for diffusion simulation. In the numerical simulation, the effects of multiple phases (void, crack, aggregate, rust, and interfacial transition zone between cement and aggregate) on the chloride diffusion of mortar are studied. Since the X‐ray µCT facilitates accurate local material information in time‐dependent and in situ manner, the diffusivity of mortar under different corrosion time and its spatial distribution characteristics (e.g., at different locations from the mortar surface) can be evaluated.

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“…It is worth mentioning that these approaches for diffusion incorporate inherent simplifications associated with the flux direction and saturated conditions into the media. Other formulations can be performed to consider complex and general diffusion problems and using numerical methods such as the Finite Element method [38,10] and the Boundary Element method [27,11].…”

Section: Introductionmentioning

confidence: 99%

A methodology to evaluate corroded RC structures using a probabilistic damage approach

Coelho¹,

Leonel²,

Flórez-López³

2021

Preprint

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Several aspects influence corrosive processes in RC structures, such as environmental conditions, structural geometry, and mechanical properties. Since these aspects present large randomnesses, probabilistic models allow a more accurate description of the corrosive phenomena. On the other hand, the definition of limit states, applied in the reliability assessment, requires a proper mechanical model. In this context, this study proposes an accurate methodology for the mechanical-probabilistic modelling of RC structures subjected to reinforcements' corrosion. To this purpose, an improved damage approach is proposed to define the limit states for the probabilistic modelling, considering three main degradation phenomena: concrete cracking, rebar yielding, and rebar corrosion caused either by chlorides or carbonation process. The stochastic analysis is evaluated by the Monte Carlo simulation method due to the computational efficiency of the LDMC. The proposed mechanical-probabilistic methodology is implemented in a computational framework and applied to the analysis of a simply supported RC beam, and a 2D RC frame. Curves illustrate the probability of failure over a service life of 50 years. Moreover, the proposed model allows drawing the probability of failure map and then identify the critical failure path for progressive collapse analysis. Collapse path changes caused by the corrosion phenomena are observed.

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Embedded finite element formulation for the modeling of chloride diffusion accounting for chloride binding in meso-scale concrete

Cited by 14 publications

References 54 publications

Simulation Approach for Random Diffusion of Chloride in Concrete under Sustained Load with Cellular Automata

Simulation Approach for Random Diffusion of Chloride in Concrete under Sustained Load with Cellular Automata

Meso‐scale modeling of chloride diffusivity in mortar subjected to corrosion‐induced cracking

A methodology to evaluate corroded RC structures using a probabilistic damage approach

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