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"

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