Journal of Jilin University(Engineering and Technology Edition) ›› 2020, Vol. 50 ›› Issue (1): 191-201.doi: 10.13229/j.cnki.jdxbgxb20180965

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Durability model of magnesium oxychloride-coated reinforced concrete under the two coupling factors

Peng-hui WANG1(),Hong-xia QIAO1,2(),Qiong FENG1,Hui CAO1,Shao-yong WEN1   

  1. 1. Key Laboratory of Disaster Prevention and Mitigation in Civil Engineering of Gansu Province, Lanzhou University of Technology, Lanzhou 730050, China
    2. Qinghai Institute of Salt Lakes, Chinese Academy of Sciences, Xining 810083, China
  • Received:2018-09-21 Online:2020-01-01 Published:2020-02-06
  • Contact: Hong-xia QIAO E-mail:356984639@qq.com;qiaohongxia@lut.edu.cn

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Abstract:

The concrete life prediction model does not accord with actual service conditions if only chloride ion, sulfate ion or carbonation are considered. To solve this problem, the corrosion current density, which reflects the steel corrosion, and the relative dynamic elastic modulus evaluation parameter, which characterizes the concrete damage, are taken as the marginal distribution function parameters. Then a life prediction model of Magnesium Oxychloride-Coated Reinforced Concrete (MOCRC) is established based on the Copula function. The results show that the Gumble-Copula function can predict the durability of MOCRC under the influence of two coupling factors, and the damage of MOCRC is about 20 000 d. The establishment of the Copula function life prediction model under the influence of two coupling factors provides a new research direction for the life prediction model under the multiple coupling factors.

Key words: civil engineering, corrosion current density, relative dynamic elastic modulus, Copula function, life prediction model, coupling factor

CLC Number: 

  • TU528.43

Fig.1

"

Fig.2

Polarization curve of coated steel bar from 0 to 450 d"

Fig.3

Polarization curve of coated steel bar from 540 to 990 d"

Table 1

Corrosion current density of coated steel bar"

天数/d i corr/(μA·cm-2×10-2) 天数/d i corr/(μA·cm-2×10-2)
0 0.299 540 7.030
90 0.417 630 5.250
180 0.553 720 3.590
270 6.090 810 3.390
360 4.110 900 6.030
450 4.920 990 2.600

Table 2

Ultrasonic wave velocity of magnesium oxychloride coated reinforced concrete km/s"

方向 测试点 0 d 90 d 180 d 270 d 360 d 450 d 540 d 630 d 720 d 810 d 900 d 990 d
X 1 2.561 2.561 2.560 2.560 2.558 2.558 2.556 2.556 2.554 2.554 2.553 2.553
2 2.609 2.609 2.608 2.607 2.607 2.606 2.606 2.604 2.603 2.601 2.597 2.595
Y 1 2.572 2.572 2.570 2.569 2.568 2.567 2.565 2.563 2.562 2.561 2.559 2.559
2 2.609 2.609 2.608 2.607 2.606 2.606 2.605 2.603 2.602 2.600 2.592 2.593

Table 3

Relative dynamic elastic modulus of magnesium oxychloride coated reinforced concrete"

方向 测试点 0 d 90 d 180 d 270 d 360 d 450 d 540 d 630 d 720 d 810 d 900 d 990 d
X 1 1.000 1.000 0.999 0.999 0.999 0.999 0.998 0.998 0.997 0.997 0.997 0.997
2 1.000 1.000 1.000 0.999 0.999 0.999 0.999 0.999 0.998 0.997 0.995 0.995
Y 1 1.000 1.000 0.999 0.998 0.998 0.998 0.997 0.997 0.996 0.996 0.995 0.995
2 1.000 1.000 0.999 0.999 0.999 0.998 0.998 0.997 0.997 0.997 0.995 0.994

Table 4

Relative dynamic elastic modulus evaluation parameters of magnesium oxychloride coated reinforced concrete"

方向 测试点 0 d 90 d 180 d 270 d 360 d 450 d 540 d 630 d 720 d 810 d 900 d 990 d
X 1 1.000 1.000 0.998 0.998 0.995 0.995 0.995 0.995 0.993 0.993 0.993 0.993
2 1.000 1.000 1.000 0.998 0.998 0.998 0.998 0.998 0.995 0.993 0.988 0.988
Y 1 1.000 1.000 0.998 0.995 0.995 0.995 0.993 0.993 0.993 0.990 0.990 0.988
2 1.000 0.998 0.998 0.998 0.998 0.995 0.995 0.993 0.993 0.993 0.985 0.978
Z - 1.000 1.000 0.999 0.998 0.997 0.996 0.995 0.995 0.994 0.992 0.989 0.987

Fig.4

Probability distribution chart of ω 1 "

Fig.5

Probability distribution chart of ω 2 "

Fig.6

Reliability function graph of ω 1 "

Fig.7

Reliability function graph of ω 2 "

Fig.8

Binary frequency histogram"

Fig.9

Binary rate histogram"

Table 5

Common forms of Copula function"

函数类型 函数表达式 定义域
Gumbel Copula C u 1 , ? , u n ; θ = e x p - ∑ i = 1 n l n u i 1 θ θ θ ∈ [ 1 , ∞ )
Clayton Copula C u 1 , ? , u n ; θ = m a x u 1 - θ + u 2 - θ + ? + u n - θ - n + 1 1 θ , 0 θ ∈ [ - 1 , ∞ ) 0
Frank Copula C u 1 , ? , u n ; θ = - 1 θ l n 1 + e - θ u 1 - 1 e - θ u 2 - 1 ? e - θ u n - 1 e - θ - 1 n - 1 θ ∈ - ∞ , + ∞ 0

Table 6

Relevant parameters of each Copula function"

Copula函数分类 相关参数 τ ρ 尾部相关系数
上尾 下尾
Gumbel 7.665 0.974 0.999 0.982 0
Clayton 6.030 0.950 0.996 0 0.982
Frank 37.968 0.899 0.987 0 0

Fig.10

Gumbel-copula function distribution function graph"

Fig.11

Gumbel-copula density function graph"

Fig.12

Reliability function curve"

1 文静, 余红发, 吴成友, 等 . 氯氧镁水泥水化历程的影响因素及水化动力学[J]. 硅酸盐学报, 2013, 41(5): 588-596.
Wen Jing , Yu Hong-fa , Wu Cheng-you , et al . Hydration kinetic and influencing parameters in hydration process of magnesium oxychloride cement[J]. Journal of the Chinese Ceramic Society, 2013, 41(5): 588-596.
2 Mazuranic C , Billinski H , Matkovic B . Reaction products in the system MgCl2-NaOH-H2O[J]. Journal of the American Ceramic Society, 1982, 65(10): 523-526.
3 乔宏霞, 王鹏辉, 巩位, 等 . 基于EIS研究镁水泥混凝土中涂层钢筋的耐腐蚀性[J].材料科学与工程学报, 2017, 35(6): 987-992.
Qiao Hong-xia ， Wang Peng-hui ， Gong Wei , et al . Corrosion resistance of coated steel bars in magnesium cement concrete based on EIS[J]. Journal of Materials Science & Engineering, 2017, 35(6): 987-992.
4 乔宏霞, 巩位, 王鹏辉, 等 . 硫酸盐环境氯氧镁水泥混凝土中钢筋防护试验[J]. 西南交通大学学报, 2017, 52(2): 247-253.
Qiao Hong-xia , Gong Wei , Wang Peng-hui , et al . Experimental study on steel reinforcement protection in magnesium oxychloride cement concrete under sulfate environment[J]. Journal of Southwest Jiaotong University, 2017, 52(2): 247-253.
5 乔宏霞, 巩位, 陈广峰, 等 . 基于极化曲线的镁水泥混凝土中钢筋腐蚀试验[J]. 华中科技大学学报：自然科学版, 2016, 44(1): 6-10.
Qiao Hong-xia , Gong Wei , Chen Guang-feng , et al . Experimental study on corrosion of steel bar in magnesium cement concrete based on polarization curves[J]. Journal of Huazhong University of Science and Technology (Nature Science Edition), 2016, 44(1):6-10.
6 乔宏霞, 巩位, 高升, 等 . 镁水泥混凝土中钢筋的电化学腐蚀研究[J]. 材料科学与工艺, 2016, 24(1): 63-69.
Qiao Hong-xia , Gong Wei , Gao Sheng , et al . Electrochemical corrosion of steel bar in the magnesium cement concrete[J]. Materials Science and Technology, 2016, 24(1): 63-69.
7 Zhang Chuan-mei , Deng De-hua . The stability of the reaction products of magnesium oxychloride cement in water[J]. Journal of Wuhan University of Technology (Materials Science Edition), 1994, 9(3): 51-59.
8 张振禹, 戴长禄, 张铨昌, 等 . 相5和相3的形成机理研究[J]. 中国科学(B辑), 1991, 21(1): 82-89.
Zhang Zhen-yu , Dai Chang-lu , Zhang Quan-chang , et al . Study on the formation mechanism of phase 5 and phase 3[J]. Science in China(Series B), 1991, 21(1): 82-89.
9 Collepardi M ， Marcialis A , Turrizzani R . The kinetics of penetration of chloride ions into the concrete[J]. Ⅱ Cemento, 1970, 67(4): 157-164.
10 Collepardi M , Marcialis A , Turrizzani R . Penetration of chloride ions into cement pastes and concretes[J]. Journal of the American Ceramic Society, 1972, 55(10): 534-535.
11 余红发, 孙伟, 鄢良慧, 等 . 混凝土使用寿命预测方法的研究I——理论模型[J]. 硅酸盐学报, 2002, 30(6): 686-690.
Yu Hong-fa , Sun Wei , Yan Liang-hui , et al . Study on prediction of concrete service life I——theoretical model[J]. Journal of the Chinese Ceramic Society, 2002, 30(6): 686-690.
12 余红发, 孙伟, 鄢良慧, 等 . 混凝土使用寿命预测方法的研究Ⅱ——模型验证与应用[J]. 硅酸盐学报,2002,30(6): 691-695.
Yu Hong-fa , Sun Wei , Yan Liang-hui , et al . Study on prediction of concrete service life Ⅱ——model’s examination and application[J]. Journal of the Chinese Ceramic Society, 2002, 30(6): 691-695.
13 余红发, 孙伟, 鄢良慧, 等 . 混凝土使用寿命预测方法的研究Ⅲ——混凝土使用寿命的影响因素及混凝土寿命评价[J]. 硅酸盐学报, 2002, 30(6): 696-701.
Yu Hong-fa , Sun Wei , Yan Liang-hui , et al . Study on prediction of concrete service life Ⅲ——evaluation of influencing factors and service life[J]. Journal of the Chinese Ceramic Society, 2002, 30(6): 696-701.
14 彭建新, 王华, 张建仁, 等 . 氯盐侵蚀下钢筋混凝土氯离子扩散系数试验及其概率分析[J]. 中国公路学报, 2014, 27(6): 77-83.
Peng Jian-xin , Wang Hua , Zhang Jian-ren , et al . Experimental study on chloride ion diffusion coefficient in concrete and probabilistic analysis of its influence on deterioration performance of RC structures[J]. China Journal of Highway and Transport, 2014, 27(6): 77-83.
15 Santhanam M . Studies on sulfate attack: mechanisms, test method, and modeling[D]. West Lafayette: Purdue University, 2001.
16 Santhanam M , Cohen M D , Olek J . Mechanism of sulfate attack: a fresh look——Part 1.Summary of experimental results[J]. Cement and Concrete Research, 2002, 32(6): 915-921.
17 Santhanam M , Cohen M D , Olek J . Mechanism of sulfate attack: a fresh look——Part 2. Proposed mechanisms[J]. Cement and Concrete Research, 2003, 33(3): 341-346.
18 关博文 . 交变荷载与硫酸盐腐蚀作用下水泥混凝土疲劳损伤机制[D].西安: 长安大学材料科学与工程学院, 2012.
Guan Bo-wen . Study on the fatigue damage of cement concrete subjected to sulfate corrosion and alternating stresses[D]. Xi'an: School of Materials Science and Engineering，Chang’an University, 2012.
19 金祖权, 孙伟, 张云升, 等 . 荷载作用下混凝土的碳化深度[J]. 建筑材料学报, 2005, 8(2): 179-183.
Jin Zu-quan , Sun Wei , Zhang Yun-sheng , et al . Study on carbonation of concrete under loading[J]. Journal of Building Materials, 2005, 8(2): 179-183.
20 刘志勇, 孙伟 . 多因素作用下混凝土碳化模型及寿命预测[J]. 混凝土, 2003(12): 3-7.
Liu Zhi-yong , Sun Wei . Modeling carbonation for corrosion risk service life prediction of concrete under combined action of durability factors[J]. Concrete, 2003(12): 3-7.
21 杨超, 黄达, 张永兴, 等 . 基于Copula理论的岩体抗剪强度参数估值[J]. 岩石力学与工程学报, 2013, 32(12): 2463-2470.
Yang Chao , Huang Da , Zhang Yong-xing , et al . Estimation of shear strength parameters of rock mass based on copula theory[J]. Chinese Journal of Rock Mechanics and Engineering, 2013, 32(12): 2463-2470.
22 唐小松, 李典庆, 周创兵, 等 . 基于Copula函数的基桩荷载-位移双曲线概率分析[J]. 岩土力学, 2012, 33(1): 171-178.
Tang Xiao-song , Li Dian-qing , Zhou Chuang-bing , et al . Probabilistic analysis of load-displacement hyperbolic curves of single pile using copula[J]. Rock and Soil Mechanics, 2012, 33(1): 171-178.
23 潘雄，王莉莉，徐玉琴，等 . 基于混合Copula函数的风电场出力建模方法[J]. 电力系统自动化, 2014, 38(14): 17-22.
Pan Xiong , Wang Li-li , Xu Yu-qin , et al . A wind farm power modeling method based on mixed copula[J]. Automation of Electric Power Systems, 2014, 38(14): 17-22.
24 何其祥, 张晗, 郑明 . 包含股指期货的投资组合之风险研究——Copula方法在金融风险管理中的应用[J]. 数理统计与管理, 2009, 28(1): 159-166.
He Qi-xiang , Zhang Han , Zheng Ming . Research of the risk of the portifolio cluding index future——the application of copula method to the financial risk management[J]. Journal of Application Statistics and Management, 2009, 28(1): 159-166.
25 倪增华, 刘合香, 罗彦丽, 等 . Copula函数在广西洪涝灾害的降水概率预测中的应用[J]. 气象研究与应用, 2014, 35(2): 32-39.
Ni Zeng-hua , Liu He-xiang , Luo Yan-li , et al . Copulas application in precipitation probability forecast of flood disasters in Guangxi[J]. Journal of Meteorological Research and Application, 2014, 35(2): 32-39.
26 罗刚，施养抗 . 钢筋混凝土构件中钢筋锈蚀量的无损检测方法[J]. 福建建筑, 2002, 79(4): 55-57.
Luo Gang , Shi Yang-kang . Review of Non-destructive methods in assessment corrosion in reinforced concrete member[J]. Fujian Architecture & Construction, 2002, 79(4): 55-57.
27 Isgor Osman Burkan . A durability model for chloride and carbonation induced steel corrosion in reinforced concrete members[D]. Ottawa: Carleton University, 2002.
28 乔宏霞 . 混凝土抗硫酸盐腐蚀耐久性的评价方法研究[D].兰州: 兰州理工大学土木工程学院, 2007.
Qiao Hong-xia . Evaluation method for durability of concrete against sulfate attack[D]. Lanzhou: College of Civil Engineering,Lanzhou University of Technology, 2007.
29 Nelsen R B . An Introduction to Copulas Seconded[M]. New York: Springer, 2006.
30 Sklar A . Functioned repartition a dimension etleurs merges[J]. Publications Institut Statistique Université Publ,1959（8）: 229-231.
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