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Reliability model and probability analysis method for pitting corrosion under mechanical loading

Xiaoxiao Liu (State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi'an Jiaotong University, Xi'an, China)
Ming Liu (Xi'an Jiaotong University, Xi'an, China)

Anti-Corrosion Methods and Materials

ISSN: 0003-5599

Article publication date: 20 August 2019

Issue publication date: 22 August 2019



Corrosion is one of the common damage mechanisms in many engineering structures such as marine structures, petroleum pipelines, aerospace and nuclear reactor. However, the service performance of metal materials and structures is gradually degenerating with the increase of service life due to the rapid growth of corrosion damages. Thus, the coupled effects for corrosion damage in reliability analysis should be considered urgently. Then, the purpose of this paper is to develop the corrosion damage physical model and the corresponding reliability analysis methods, which consider the coupled effect of corrosion damage.


A failure physical model, considering the coupled effect of pitting growth, crack and crack propagation, is presented in this paper. Sequentially, the corrosion reliability with respect to pitting physical damage can be investigated. The presented pitting damage physical model is formulated as time-variant performance limit state functions, which include the crack transition, crack growth and fracture failure mechanics. The first-passage failure criterion is used to construct the corrosion reliability framework, involving in the pitting damage model with the increase of service life.


Results demonstrate that the multiplicative dimensional reduction (MDR) method behaves much better than FORM no matter in accuracy or efficiency. The proposed corrosion reliability method is applicable for dealing with the damage failure model of the structural pitting corrosion.


The MDR method is used to calculate the corrosion reliability index of a given structure with fewer function calls. Finally, an aeronautical metal material is used to demonstrate the efficiency and precision of the proposed corrosion reliability method when the failure physical model considering the coupled effects of mechanical stresses and corrosion environment is adopted.



This work was supported by the National Natural Science Foundation of China (Grant No. 51801149; 11802224), the China Postdoctoral Science Foundation (Grant No. 2017M620448; 2018M633495) and the China State Key Laboratory for Mechanical Structure Strength and Vibration Open−end Foundation (Grant No. SV2019−KF − 10; SV2019−KF − 11).


Liu, X. and Liu, M. (2019), "Reliability model and probability analysis method for pitting corrosion under mechanical loading", Anti-Corrosion Methods and Materials, Vol. 66 No. 5, pp. 529-536.



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