氯氧镁涂层钢筋混凝土两重因素耦合作用下的耐久性模型

doi:10.13229/j.cnki.jdxbgxb20180965

摘要/Abstract

摘要：

针对只考虑氯离子、硫酸根离子或碳化作用下混凝土寿命预测模型与实际服役条件不相符的问题，提出利用反映钢筋锈蚀的腐蚀电流密度和表征混凝土破坏的相对动弹性模量评价参数作为边缘分布函数参数，在Copula函数的基础上建立耦合因素作用下氯氧镁涂层钢筋混凝土（MOCRC）寿命预测模型。结果表明：Gumble-Copula函数可以很好地对两重耦合因素作用下的MOCRC耐久性进行预测，MOCRC在20 000 d左右发生破坏。两重耦合因素作用下Copula函数寿命预测模型的建立，为多重因素耦合作用下的寿命预测模型提供了新的研究方向。

关键词: 土木工程, 腐蚀电流密度, 相对动弹性模量, Copula函数, 寿命预测模型, 耦合因素

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

中图分类号:

TU528.43

王鹏辉,乔宏霞,冯琼,曹辉,温少勇. 氯氧镁涂层钢筋混凝土两重因素耦合作用下的耐久性模型[J]. 吉林大学学报(工学版), 2020, 50(1): 191-201.

Peng-hui WANG,Hong-xia QIAO,Qiong FENG,Hui CAO,Shao-yong WEN. Durability model of magnesium oxychloride-coated reinforced concrete under the two coupling factors[J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(1): 191-201.

图/表 18

图1

图2

图3

表1

表2

表3

表4

图4

图5

图6

图7

图8

图9

表5

常见的函数表达形式"

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	$C u 1, ?, u n; θ = - 1 θ l n 1 + e - θ u 1 - 1 e - θ u 2 - 1 ? e - θ u n - 1 e - θ - 1 n - 1$	$θ ∈ - ∞, + ∞ 0$

表5

表6

各Copula函数的相关参数"

Copula函数分类	相关参数	$τ$	$ρ$	尾部相关系数
Copula函数分类	相关参数	$τ$	$ρ$	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

表6

图10

图11

图12

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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

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
X	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
Y	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

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
X	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
Y	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

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
X	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
Y	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

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