Abstract
To evaluate the fracture behavior of steel structures under some severe corrosion environments, experiments on eight artificially pitting corroded Q345 steel plates and numerical investigations on 200 finite element models of randomly pitting damaged steel were conducted. The effects of the distribution, diameter and depth of the corrosion pits on the tensile behavior were investigated and a probability density function of randomly pitting corroded steel strength was developed. The results indicate that both the yield strength and the ultimate strength of steel plates with random pitting corrosion were lower than those of uniformly corroded steels with the same corrosion ratios. The effects of pitting depth on the yield strength and the ultimate strength were more significant than those of pitting diameter. The influences of pitting distribution on ultimate strength were greater than that on yield strength. The residual tensile strength of steel plates with random pitting corrosion was found to well conform to the Gamma distribution, and thus the probability density functions of the residual yield strength and the ultimate strength were proposed based on the Gamma distribution.
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Abbreviations
- A i :
-
The area of the ith pit (mm2)
- A c :
-
The total area of the pits (mm2)
- V i :
-
The volume of the ith pit (mm3)
- V c :
-
The total volume of the pits (mm3)
- d :
-
The pit depth (mm)
- f y :
-
The nominal yield strength (MPa)
- f u :
-
The nominal ultimate strength (MPa)
- \(f_{{\text{y}}}^{\prime }\) :
-
The residual yield strength (MPa)
- \(f_{{\text{u}}}^{\prime }\) :
-
The residual ultimate strength (MPa)
- δ :
-
The overall deformation of the test zone
- t c :
-
The thickness of coupon
- ε :
-
The strain value
- σ ep :
-
The Von Mises equivalent flow stress
- ε ep :
-
The equivalent plastic strain
- n :
-
The strain hardening exponent
- r i :
-
The radius of the random pit (mm)
- L :
-
The length of corrosion area (mm)
- H :
-
The width of corrosion area (mm)
- \(\overline{r}\) :
-
The average value of pit radius (mm)
- f o :
-
The initial physical characteristic parameters
- A o :
-
The initial geometrical parameters
- R o :
-
The initial strength (MPa)
- R :
-
The strength index (MPa)
- f :
-
The physical performance index
- A :
-
The geometric parameter index
- X :
-
The pit radius in normal distribution (mm)
- Y :
-
The pit depth in normal distribution (mm)
- λ :
-
The proportional parameter in Weibull distribution
- k :
-
The shape parameter in Weibull distribution
- α :
-
The shape parameter in Gamma distribution
- β :
-
The scale parameter in the Gamma distribution
- ξ :
-
The square of pit radius in Lebesgue–Stieltjes integral (mm2)
- η :
-
The pit depth in Lebesgue–Stieltjes integral (mm)
- t :
-
The dependent variable of Gamma distribution
- ρ :
-
The random volume loss ratio
- w :
-
The probability value of strength degradation
- x :
-
The sample of strength degradation (MPa)
- φ :
-
The strength degradation ratio
- φ y :
-
The degradation ratios of the yield strength
- φ u :
-
The degradation ratios of the ultimate strength
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Acknowledgements
This research was supported by the Natural Science Foundation of China (Grant No. 51978656) and Key Research and Development Project of Xuzhou (KC19207). The financial supports are gratefully acknowledged.
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Liao, X., Li, X. & Xu, YM. Probabilistic Tensile Strength Model of Q345 Steel Plates with Random Pitting Corrosion for Fragility Analysis. Int J Steel Struct 23, 548–563 (2023). https://doi.org/10.1007/s13296-023-00709-3
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DOI: https://doi.org/10.1007/s13296-023-00709-3