Influence of Climate Change on the Probability of Chloride-Induced Corrosion Initiation for RC Bridge Decks Made of Geopolymer Concrete
Abstract
:1. Introduction
2. Materials and Methods
2.1. Materials
- Concrete composition: The GPC mixture used in this study consists of 50% FA and 50% SG. This specific combination was chosen because it provides an optimal balance of mechanical and durability properties, which are essential for resisting chloride-induced corrosion. The inclusion of FA contributes to the long-term strength of concrete, whereas SG imparts high early strength and durability, which are critical for the structural performance of bridge decks exposed to varying temperature and humidity conditions. This combination also aligns with sustainable construction practices by utilizing industrial byproducts, thereby reducing the carbon footprint and supporting environmental sustainability goals. The material properties used are as follows:
- Chloride concentration: The mean chloride concentration applied on the top part of the RC deck is 6 kg/m3, which follows a lognormal distribution with a coefficient of variation of 30%.
- Concrete cover depth: Various concrete cover mean thicknesses are considered in the study, including 30 mm, 40 mm, 50 mm, and 60 mm.
- Chloride threshold level (Cth): The chloride threshold level, which represents the concentration at which corrosion of the reinforcing steel begins, is set at 0.7 kg/m3. This threshold level also follows a lognormal distribution with a coefficient of variation of 20%.
- Chloride diffusion coefficient (D): The apparent chloride diffusion coefficient for the specific GPC used in the study is 2.38 × 10−12 m2/s, with an age factor of 0.604.
- Temperature and humidity: The impact of varying maximum temperatures (from 25 °C to 45 °C) and relative humidity levels (70% and 75%) on the probability of corrosion initiation.
2.2. Methods
- Data collection and calculation: This study collected data on the projected maximum temperature for Toronto City and the relative humidity. The chloride diffusion coefficient over time and the chloride concentration data were determined through detailed calculations.
- Monte Carlo simulation model development: The MCS method is a key component of this study and is used to predict the PCI in RC structures under various environmental scenarios. This probabilistic approach is ideal for modeling complex systems with inherent uncertainties by simulating a wide range of possible outcomes based on input data.
- Key variables: The simulation incorporates variables such as the maximum temperature, relative humidity, concrete cover thickness, chloride concentration, and chloride diffusion coefficient. These variables are treated as random inputs to reflect the natural variability and uncertainty of real-world conditions. Each variable follows a specific statistical distribution, ensuring that the simulations capture a realistic range of potential scenarios.
- Simulation process and iteration: The MCS process is conducted to generate random samples from the input distributions. The model will then calculate the predicted PCI for each sample, and the simulation will repeat this process 100,000 times to generate an accurate result, ultimately enabling a comprehensive investigation of potential outcomes.
- Analytical evaluation: The results of the MCS are analyzed to determine the PCI for each scenario. The analysis will include statistical measures such as the mean, standard deviation, coefficient of variation, and distribution for each random variable.
- Prediction and comparison: Finally, polynomial functions would be deduced via the least squares method between the data points plotted on the x-axis and y-axis to predict the PCI and the reliability index as a function of various coefficients of variation for mean concrete covers of 40 mm and 50 mm used in RC deck made of GPC exposed to maximum temperature values of 30 °C and 40 °C applied on the top part of the deck. In addition, the mean chloride diffusion coefficient corresponds to the RC bridge deck made of GPC consisting of 50% FA and 50% SG. A comparative study was conducted to assess the impact of maximum temperature values applied on the top part of two RC decks, made of GPC and normal concrete, on the PCI to choose the optimum material for RC decks with less PCI (almost zero values of PCI) in different years.
3. Results
3.1. Calculation of the Chloride Diffusion Coefficient over Time
3.2. Temperature Projections for Toronto City across Various RCPs
3.3. Chloride-Induced Corrosion Initiation: Performance Function
3.4. Determination of the Corrected Chloride Diffusion Coefficient (Dc(t))
3.5. Validation of the Probabilistic Chloride-Induced Corrosion Initiation Model
4. Discussion of Results
4.1. Impact of Various Coefficients of Variation for Various Concrete Cover Mean Depths on the PCI for RC Bridge Decks Made of GPC (50% FA and 50% SG)
- A concrete cover of 30 mm and 40 mm used in the RC bridge deck made of GPC (50% FA and 50% SG) led to a sharp increase in the PCI when the coefficient of variation changed from 10% to 45% for both the 30 mm and 40 mm CVs.
- As the CV increased beyond 50 mm for the RC bridge deck made of GPC, there was a marked reduction in the PCI across various coefficients of variation for a mean CV of 50 mm, confirming the protective effect of a thicker concrete layer that can resist the impact of climate change.
4.2. Impact of Maximum Temperature and Relative Humidity on the PCI across Diverse Concrete Covers Used in RC Bridge Decks Made of GPC
4.3. Comparison Study between the Impacts of Two Types of RC Bridge Decks Subjected to Various Mean Maximum Temperature Levels on the PCI
5. Conclusions
- Concrete cover impact: RC bridge decks with 30 mm and 40 mm concrete covers made of GPC composed of 50% FA and 50% SG present a high risk of chloride-induced corrosion initiation when exposed to 6 kg/m3 chloride. Increasing the concrete cover to greater than 50 mm significantly reduces the PCI, highlighting the protective effect of a thicker concrete layer against climate change impacts.
- Temperature influence: The study demonstrated that maximum temperatures ranging from 40 °C to 45 °C, representing a high-emission scenario (RCP8.5), sharply increased the PCI values compared with temperatures between 25 °C and 35 °C (low-emission scenario, RCP2.6). For a concrete cover of 50 mm, the high-temperature scenario has a severe impact on the PCI, especially when the coefficient of variation for the concrete cover exceeds 30%. The impact of a maximum temperature of 40 °C on the chloride diffusion coefficient significantly increased the PCI from 3% to 33% and from 17% to 45% when the coefficients of variation changed from 10% to 45% for a mean concrete cover of 40 mm in years 50 and 100, respectively. Similarly, the PCI values also increased significantly from 0.014% to 17% and from 0.5% to 27% when the coefficients of variation changed from 10% to 45% for a mean concrete cover value of 50 mm in years 50 and 100, respectively.
- Geopolymer Concrete Benefits: This research confirmed that the use of GPC composed of 50% FA and 50% SG significantly inhibited chloride-induced corrosion initiation compared with that of normal concrete at various maximum temperatures. These findings underscore the potential of GPC as a sustainable and durable alternative to traditional Portland cement concrete.
- Relative humidity impact: The influence of relative humidity on the PCI is negligible compared with the significant impact of the maximum temperature. RH values of 70% and 75% have minimal effects on the PCI for a concrete cover of 50 mm.
- Polynomial equations: This study provides polynomial equations for predicting the PCI and reliability index (RI) across various coefficients of variation for concrete covers of 40 mm and 50 mm at different maximum temperatures. These equations serve as valuable tools for assessing the risk of chloride-induced corrosion under various climate conditions.
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Random Variables | Mean Value (μ) | Coefficient of Variation (COV) | Distribution |
---|---|---|---|
Chloride Concentration (Co) (kg/m3) | 6 | 30% | Log-normal |
Concrete Cover (x) (mm) | 70 | 20% | |
Chloride threshold (Cth) (kg/m3) | 0.7 | 20% |
Parameters | Mean | COV (%) | Distribution |
---|---|---|---|
Cth (kg/m3) | 0.7 | 20% | Lognormal |
Co (kg/m3) | 6 | 30% | Lognormal |
D (t) (m2/s) | 4.75 × 10−14 (50 years) 3.13 × 10−14 (100 years) | --------- | Deterministic |
Year | Maximum Temperature = 30 °C | Maximum Temperature = 40 °C |
---|---|---|
50 | PCI = (1.1449 × (COV)2) − 0.1767 × (COV) + 0.0027 (R2 = 0.997) | PCI = −5.9616 × (COV)3 + 4.4211 × (COV)2 − 0.0488 × (COV) − 0.0015 (R2 = 0.999) |
100 | PCI = 1.1526 × (COV)2 + 0.0475 × (COV) − 0.0074 (R2 = 0.991) | PCI = −0.9164 × (COV)2 + 1.2608 × (COV) + 0.0701 (R2 = 0.994) |
Year | Maximum Temperature = 30 °C | Maximum Temperature = 40 °C |
---|---|---|
50 | RI = 22.291 × (COV)2 − 19.89 × (COV) + 5.5324 (R2 = 0.996) | RI = 10.963 × (COV)2 − 10.077 × (COV) + 2.7814 (R2 = 0.996) |
100 | RI = −82,090 × (COV)6 + 125,211 × (COV)5 − 74,471 × (COV)4 + 21,684 × (COV)3 − 3142.4 × (COV)2 + 191.07 × (COV) + 0.0197 (R2 = 0.990) | RI = 5.2241 × (COV)2 − 5.1182 × (COV) + 1.3879 (R2 = 0.997) |
Year | Maximum Temperature = 30 °C | Maximum Temperature = 40 °C |
---|---|---|
50 | PCI = (1.404 × (COV)3) − (0.3555 × (COV)2) + (0.0168 × COV) + 0.0001 (R2 = 0.999) | PCI = (−1.1234 × (COV)3) + (1.942 × (COV)2) − (0.2629 × (COV)) + 0.0038 (R2 = 0.997) |
100 | PCI = (0.9463 × (COV)2) − 0.1907 × (COV) + 0.0047 (R2 = 0.994) | PCI = (−4.5795 × (COV)3) + (4.1012 × (COV)2) − (0.3346 × (COV)) + 0.0024 (R2 = 0.999) |
Year | Maximum Temperature = 30 °C | Maximum Temperature = 40 °C |
---|---|---|
50 | RI = 26.349 × (COV)2 − 24.529 × (COV) + 7.2879 (R2 = 0.996) | RI = 16.364 × (COV)2 − 15.594 × (COV) + 4.673 (R2 = 0.997) |
100 | RI = 21.037 × (COV)2 − 19.855 × (COV) + 5.9356 (R2 = 0.997) | RI = 10.974 × (COV)2 − 10.831 × (COV) + 3.2975 (R2 = 0.998) |
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Amleh, L.; Hassan, M.; Hussein, L. Influence of Climate Change on the Probability of Chloride-Induced Corrosion Initiation for RC Bridge Decks Made of Geopolymer Concrete. Sustainability 2024, 16, 8200. https://doi.org/10.3390/su16188200
Amleh L, Hassan M, Hussein L. Influence of Climate Change on the Probability of Chloride-Induced Corrosion Initiation for RC Bridge Decks Made of Geopolymer Concrete. Sustainability. 2024; 16(18):8200. https://doi.org/10.3390/su16188200
Chicago/Turabian StyleAmleh, Lamya, Mostafa Hassan, and Luaay Hussein. 2024. "Influence of Climate Change on the Probability of Chloride-Induced Corrosion Initiation for RC Bridge Decks Made of Geopolymer Concrete" Sustainability 16, no. 18: 8200. https://doi.org/10.3390/su16188200
APA StyleAmleh, L., Hassan, M., & Hussein, L. (2024). Influence of Climate Change on the Probability of Chloride-Induced Corrosion Initiation for RC Bridge Decks Made of Geopolymer Concrete. Sustainability, 16(18), 8200. https://doi.org/10.3390/su16188200