Spatial statistics of pitting corrosion patterning: Quadrat counts and the non-homogeneous Poisson process

Cruz, J. López De La; Gutiérrez, Miguel

doi:10.1016/j.corsci.2008.01.003

Cited by 8 publications

(1 citation statement)

References 13 publications

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“…The spatial proximity of pits can be described as a nonhomogeneous Poisson point process (NH-PPP) [24,25]. If X max follows the GEV distribution from equation 5 and the pit depths exceedances a certain threshold u per unit area, the intensity is given by [26]:…”

Section: B Spatial-temporal Probabilistic Model For Pitting Corrosionmentioning

confidence: 99%

Modelling the spatial-temporal progression of corrosion with special emphasis on its influence on structural reliability

Hackl¹,

Köhler²

2015

IABSE Workshop, Helsinki 2015: Safety, Robustness and Condition Assessment of Structures

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Reinforced concrete (RC) structures constitute an essential part of the building infrastructure. This infrastructure is aging and a large number of structures will exceed the prescribed service period in the near future. The aging of concrete structures is often accompanied by corresponding deterioration mechanisms. One of the major deterioration mechanisms is the corrosion of the reinforcing steel, caused by chloride ions and carbon dioxide exposure. Corrosion is a complex physical, chemical and mechanical process. The modelling of this process is subjected to significant uncertainties, which originate from a simplistic representation of the actual physical process and limited information on material, environmental and loading characteristics. The present work proposes a probabilistic model for the assessment of spatial and temporal effects of corrosion for the estimation of structural reliability of a potentially corroded RC structure. The model is developed for the consideration of simply supported RC beams in flexure. In a case study various member spans, bar diameters and number of bars in a given cross-section are considered. The study concludes with an analysis of model results and a discussion on how the model can be extended to complex structural details and systems.

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Section: B Spatial-temporal Probabilistic Model For Pitting Corrosionmentioning

confidence: 99%

Modelling the spatial-temporal progression of corrosion with special emphasis on its influence on structural reliability

Hackl¹,

Köhler²

2015

IABSE Workshop, Helsinki 2015: Safety, Robustness and Condition Assessment of Structures

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On the detection of corrosion pit interactions using two-dimensional spectral analysis

Jarrah

Nianga²,

Iost

et al. 2010

Corrosion Science

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A particular thanks to Professor Maxence Bigerelle (UTC, Compiègne, France) and to research and development engineer Dr. Benjamin Fournier (CEA, Saclay, France) for their interesting discussions and useful advices about the scientific problem of pitting corrosion.A statistical methodology for detecting pits interactions based on a two-dimensional spectral analysis is presented. This method can be used as a tool for the exploratory analysis of spatial point patterns and can be advanced as an alternative of classical methods based on distance. One of the major advantages of the spectral analysis approach over the use of classical methods is its ability to reveal more details about the spatial structure like the scale for which pits corrosion can be considered as independent. Furthermore, directional components of pattern can be investigated. The method is validated in a first time using numerical simulations on random, regular and aggregated structures. The density of pits, used in the numerical simulations, corresponds to that assessed from a corroded aluminium sheet. In a second time, this method is applied to verify the independence of the corrosion pits observed on the aforementioned aluminium sheet before applying the Gumbel theory to determine the maximum pit depth. Indeed, the property of independence is a prerequisite of the Gumbel theory which is one of the most frequently used in the field of safety and reliability.International audienceA statistical methodology for detecting pits interactions based on a two-dimensional spectral analysis is presented. This method can be used as a tool for the exploratory analysis of spatial point patterns and can be advanced as an alternative of classical methods based on distance. One of the major advantages of the spectral analysis approach over the use of classical methods is its ability to reveal more details about the spatial structure like the scale for which pits corrosion can be considered as independent. Furthermore, directional components of pattern can be investigated. The method is validated in a first time using numerical simulations on random, regular and aggregated structures. The density of pits, used in the numerical simulations, corresponds to that assessed from a corroded aluminium sheet. In a second time, this method is applied to verify the independence of the corrosion pits observed on the aforementioned aluminium sheet before applying the Gumbel theory to determine the maximum pit depth. Indeed, the property of independence is a prerequisite of the Gumbel theory which is one of the most frequently used in the field of safety and reliability

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Investigation of AISI 1040 steel corrosion in H2S solution containing chloride ions by digital image processing coupled with electrochemical techniques

et al. 2011

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Spatial statistics of pitting corrosion patterning: Quadrat counts and the non-homogeneous Poisson process

Cited by 8 publications

References 13 publications

Modelling the spatial-temporal progression of corrosion with special emphasis on its influence on structural reliability

Modelling the spatial-temporal progression of corrosion with special emphasis on its influence on structural reliability

On the detection of corrosion pit interactions using two-dimensional spectral analysis

Investigation of AISI 1040 steel corrosion in H2S solution containing chloride ions by digital image processing coupled with electrochemical techniques

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