Probabilistic Modeling of Chloride Penetration with Respect to Concrete Heterogeneity and Epoxy-Coating on the Reinforcement

Le, Tuan Duc; Lehner, Petr; Konečný, Petr

doi:10.3390/ma12244068

Cited by 9 publications

(6 citation statements)

References 30 publications

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“…Its application allows desired transitioning from the deterministic to the probabilistic concept of reliability assessment of the natural phenomena, i.e., transitioning from deterministic reliability assessment to probabilistic assessment of structures or sys-tems. With the SBRA method, the calculated probability of failure is estimated according to the theory of limit states [21,[23][24][25][26][27]30,31].…”

Section: Methodsmentioning

confidence: 99%

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Stochastic Strength Analyses of Screws for Femoral Neck Fractures

et al. 2022

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This paper represents a multidisciplinary approach to biomechanics (medicine engineering and mathematics) in the field of collum femoris fractures, i.e., of osteosyntheses with femoral/cancellous screws with full or cannulated cross-sections. It presents our new numerical model of femoral screws together with their stochastic (probabilistic, statistical) assessment. In the first part of this article, the new simple numerical model is presented. The model, based on the theory of planar (2D) beams on an elastic foundation and on 2nd-order theory, is characterized by rapid solution. Bending and compression loadings were used for derivation of a set of three 4th-order differential equations. Two examples (i.e., a stainless-steel cannulated femoral screw and full cross-section made of Ti6Al4V material) are presented, explained, and evaluated. In the screws, the internal shearing forces, internal normal forces, internal bending moments, displacement (deflections), slopes, and mechanical stresses are calculated using deterministic and stochastic approaches. For the stochastic approach and a “fully” probabilistic reliability assessment (which is a current trend in science), the simulation-based reliability assessment method, namely, the application of the direct Monte Carlo Method, using Anthill software, is applied. The probabilities of plastic deformations in femoral screws are calculated. Future developments, which could be associated with different configurations of cancellous screws, nonlinearities, experiments, and applications, are also proposed.

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Section: Methodsmentioning

confidence: 99%

“…Hence, it is not a problem to conduct millions of random simulations (calculations) in real time using the direct Monte Carlo method, i.e., stochastic/probabilistic simulation and nature of reality. For more information, see [1,21,[23][24][25][26][27].…”

Section: Limitationsmentioning

confidence: 99%

Stochastic Strength Analyses of Screws for Femoral Neck Fractures

et al. 2022

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“…The numerical model for the calculation of corrosion initiation based on the finite element method was introduced earlier in [44,45]. It allows for probabilistic analysis of the reinforced concrete structure with respect to the effect of chloride ions.…”

Section: Stochastic and Sensitivity Analysismentioning

confidence: 99%

Sensitivity Analysis of Stochastic Calculation of SCC Regarding Aggressive Environment

2021

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Probabilistic procedures considering the durability with respect to corrosion of reinforcement caused by aggressive substances are widely applied; however, they are based on narrow assumptions. The aspects need to be evaluated both in terms of the search for suitable application of the various experimental results and in terms of their impact on the result of the stochastic assessment itself. In this article, sensitivity analysis was used as an ideal tool to prove how input parameters affect the results of the evaluation, with consideration of different types of concrete (ordinary or self-compacting with and without fibres). These concretes may be used in aggressive environments, as an industrial floor or as a part of the load-bearing bridge structure. An example of a reinforced concrete bridge deck was selected as the solved structure. The results show that in the case of a classic evaluation, a larger amount of fibre reports a lower resistance of concrete, which contradicts the assumptions. The sensitivity analysis then shows that self-compacting concrete is more sensitive to the values of the diffusion coefficient, and with the consideration of fibres, the effect is even greater.

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“…The concrete material parameters, in general, show random variability, specifically mechanical parameters, as well as diffusive parameters. In the case of evaluation of the durability of corrosion initiation of steel reinforcement, many suitable tools handling the durability of concrete structures are available [6,25,29,31,32], which can be combined with appropriate numerical probabilistic durability assessment such as e.g., [8,33,34]. However, the reliable description of random input parameters is often a problem.…”

Section: Research Significancementioning

confidence: 99%

Variation of Durability and Strength Parameters of Pumice Based Mixtures

2021

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The numerical modelling of chloride penetration into concrete is very sensitive to the correct description of the input data. In the recent era, high-performance concrete (HPC), which combines Portland cement and other supplementary cementitious materials, has been gaining attraction due to their desirable material properties and durability. The presented results show the application of the modified approach for the evaluation of the suitability of the time-dependent model for the variation of the diffusion coefficient. The 26 various binary and ternary-based concrete mixtures blended with volcanic pumice pozzolan (VPP) as a major supplementary cementitious material (SCM) are compared with the reference Ordinary Portland Cement mixture. Other SCMs namely fly ash, slag, silica fume, and metakaolin were also utilized in ternary-based concrete mixtures. In-depth statistical analysis was carried out to show the variability and effects of the amount of the volcanic pumice as an SCM on the diffusion coefficient. The mean value and regression via linear approximation of the time-dependent coefficient of variation of the diffusion coefficients were used as well as the Root of Mean Squared Error approach. The presented results are suitable as the component of the input parameters for the durability-related probabilistic assessment of the reinforced concrete structures exposed to chlorides. In addition, the time-dependent ultimate limit state-related data was presented.

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Probabilistic Modeling of Chloride Penetration with Respect to Concrete Heterogeneity and Epoxy-Coating on the Reinforcement

Cited by 9 publications

References 30 publications

Stochastic Strength Analyses of Screws for Femoral Neck Fractures

Stochastic Strength Analyses of Screws for Femoral Neck Fractures

Sensitivity Analysis of Stochastic Calculation of SCC Regarding Aggressive Environment

Variation of Durability and Strength Parameters of Pumice Based Mixtures

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