Stochastic evaluation of the damage length in RC beams submitted to corrosion of reinforcing steel

Sudret, Bruno; Defaux, Gilles; Pendola, Maurice

doi:10.1080/10286600601159305

Cited by 34 publications

(20 citation statements)

References 18 publications

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“…While much work has progressed on the timedependent structural reliability of deteriorating structures (e.g., [2][3][4]), there is relatively little work on the spatial modeling of deterioration processes. However, recent work is beginning to focus on the spatial variability of the reinforced and prestressed concrete deterioration process and its effect on corrosion initiation (e.g., [5]), cover cracking [6][7][8][9] and strength predictions due to chloride-induced pitting corrosion (e.g., [10][11][12][13][14][15]). …”

Section: Introductionmentioning

confidence: 99%

Extent of spatially variable corrosion damage as an indicator of strength and time-dependent reliability of RC beams

Stewart

Suo

2009

Engineering Structures

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Section: Introductionmentioning

confidence: 99%

Extent of spatially variable corrosion damage as an indicator of strength and time-dependent reliability of RC beams

Stewart

Suo

2009

Engineering Structures

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“…Operations on these functions are time consuming and computationally cumbersome, which is why we employ equivalent models. The application of equivalent models is widespread in design optimization [1][2][3][4][5][6], design space exploration [7][8][9][10], sensitivity analysis [11][12][13], and reliability analysis [14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Multivariate function approximations using the D-MORPH algorithm

Chakraborty

Chowdhury

2015

Applied Mathematical Modelling

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a b s t r a c tMost real-life problems are computationally burdensome and time consuming, so we have to rely on approximate functions to represent the original functions with a specific level of accuracy. In this study, we propose a new method for approximating multivariate functions based on the diffeomorphic modulation under observable response preserving homotopy (D-MORPH) algorithm. D-MORPH is a regression technique that was originally developed for solving differential equation. Two distinct approaches using the proposed method are described, where one operates over the whole domain and the other operates by sub-dividing the domain into a finite number of sub-domains. This technique is based on a cost/objective function, which depends on a weight matrix. We also introduce a new weight matrix, which dramatically reduces the prediction error and improves the prediction accuracy. The potential of the proposed approach for approximating multivariate functions is illustrated using eight mathematical functions and two practical problems. Furthermore, a comparative assessment with other methods is provided to demonstrate the elegance of the proposed method.

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“…spatial variability is ignored), then the mean proportion of corrosion damage is p s (t)×100% (Sudret et al 2007). See Stewart et al (2011) andWang et al (2010a,b,c,d) for more details of the probabilistic analysis.…”

Section: Deterioration and Probabilistic Modellingmentioning

confidence: 99%