基于两参数Weibull分布的镁水泥再生细骨料钢筋混凝土抗盐可靠度评估

杨天霞; 乔宏霞; 李金鹏; 王鹏辉; 路承功; 文静

doi:10.13801/j.cnki.fhclxb.20221128.003

基于两参数Weibull分布的镁水泥再生细骨料钢筋混凝土抗盐可靠度评估

doi: 10.13801/j.cnki.fhclxb.20221128.003

杨天霞^1,,
乔宏霞^{1, 2, 3, ,},
李金鹏¹,
王鹏辉¹,
路承功¹,
文静⁴

1.
兰州理工大学　土木工程防震减灾重点实验室，兰州 730050
2.
中国科学院青海盐湖研究所，西宁 810000
3.
青海民族大学，西宁 810000
4.
中国科学院盐湖资源综合高效利用重点实验室，西宁 810000

基金项目: 国家自然科学基金(51868044)；青海省基础研究计划项目资助(2022-ZJ-921)

详细信息

通讯作者:
乔宏霞，博士，教授，博士生导师，研究方向为土木工程材料　E-mail: Hongxia_Qiao@163.com

中图分类号: TU525；TB333
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出版历程
- 收稿日期: 2022-10-12
- 修回日期: 2022-11-09
- 录用日期: 2022-11-19
- 网络出版日期: 2022-12-01
- 刊出日期: 2023-09-15

Salt resistance reliability evaluation of magnesium cement recycled fine aggregate reinforced concrete based on two-parameter weibull distribution

1.
Gansu Key Laboratory of Earthquake Prevention and Disaster Mitigation for Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China
2.
Qinghai Salt Lake Institute, Chinese Academy of Sciences, Xining 810000, China
3.
Qinghai Minzu University, Xining 810000, China
4.
Key Laboratory of Comprehensive and Highly Efficient Utilization of Salt Lake Resources Chinese Academy of Sciences, Xining 810000, China

Funds: National Natural Science Foundation of China (51868044); Supported by the Basic Research Program of Qinghai Province (2022-ZJ-921)

摘要

摘要: 针对盐湖地区建筑结构受到恶劣气候环境和腐蚀性离子双重侵害现象，采用镁水泥再生细骨料钢筋混凝土来缓减构筑物寿命退化速度。通过掺加不同量的再生细骨料并将其埋置在盐渍土中进行恒电流通电加速试验，借助电化学工作站、超声波无损检测技术及SEM、XRD分析微结构演变机制，最后引入两参数Weibull分布函数退化过程对评价指标腐蚀电流密度i_corr、相对动弹性模量建模进行可靠度评价。结果表明：掺入质量比为15%、30%和45%的细骨料时，Cl⁻、CO₃ ²⁻和SO₄ ²⁻侵蚀性离子随着再生细骨料掺量的增多侵入试件几率增大，内部结构损伤程度更加显著；大片、块状的锈蚀产物逐渐疏松内部结构导致劣化程度加深，15%、30%掺量试件低腐蚀程度，45%掺量试件则处于严重腐蚀；以动弹模量作为退化参数得到15%、30%、45%再生细骨料掺量试件的服役寿命分别为10000天、7500天、6000天；以腐蚀电流密度i_corr得到45%掺量试件的工作寿命为4000天，钢筋腐蚀电流密度耐久性退化相对动弹模量更加敏感，对于镁水泥再生细骨料钢筋混凝土构件的日常维护与检测具有可观的指导意义。
- 镁水泥再生细骨料钢筋混凝土 /
- 腐蚀电流密度i_corr /
- 相对动弹模量 /
- 两参数Weibull分布 /
- 可靠度
Abstract: In view of the fact that the building structure in the salt lake area is subjected to the double damage of harsh climate environment and corrosive ions, which leads to the phenomenon of shortened life. Magnesium cement recycled fine aggregate reinforced concrete was used to slow down the life degradation speed of the structure. The galvanostatic accelerated test was carried out by adding different amounts of regenerated fine aggregate and burying it in saline soil. With the help of electrochemical workstation, ultrasonic non-destructive testing technology, SEM and XRD, the evolution mechanism of microstructure was analyzed, Finally, the degradation process of the two-parameter Weibull distribution function was introduced to evaluate the reliability of the evaluation index corrosion current density icorr and relative dynamic elastic modulus modeling. The results show that: When mixed with mass ratios of 15%, 30% and 45% fine aggregates in the accelerated test environment, aggressive ions such as Cl⁻, CO₃ ²⁻ and SO₄ ²⁻ invade the interior of the specimen with the increase of the content of recycled fine aggregates. The probability increases, and the degree of damage to the internal structure is more significant. The large and block corrosion products gradually loosen, which makes the internal structure deteriorate further. The specimens with 15% and 30% dosage have low corrosion degree, and the specimen with 45% dosage is in serious corrosion. The dynamic elastic modulus is used as the degradation parameter to obtain 15%, 30%, 45% regeneration. The service life of the samples with fine aggregate content is 10000 days, 7500 days and 6000 days, respectively. The working life of the specimen with 45% dosage obtained by the corrosion current density i_corr is 4000 days. The corrosion current density durability degradation of steel bars is more sensitive to the dynamic elastic modulus, which has considerable guiding significance for the daily maintenance and inspection of magnesium cement recycled fine aggregate reinforced concrete components.
- magnesium cement recycled fine aggregate reinforced concrete /
- corrosion current density i_corr /
- relative dynamic elastic modulus /
- two-parameter Weibull distribution /
- reliability

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图 1 通电加速体系

Figure 1. Power-on acceleration system

DC—Direct current

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图 2 不同掺量镁水泥再生细骨料钢筋混凝土极化曲线

Figure 2. Polarization curves of magnesium cement recycled fine aggregate reinforced concrete with different contents of recycled fine aggregate

E—Electric potential; i—Current density

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图 3 镁水泥再生细骨料钢筋混凝土相对动弹性模量控制图

Figure 3. Control chart of relative dynamic elastic modulus of magnesium cement recycled fine aggregate reinforced concrete

CL—Center line; UCL—Upper center line; LCL—Lower center line

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图 4 通电加速环境下不同掺量的镁水泥再生细骨料钢筋SEM图像

Figure 4. SEM images of magnesium cement recycled fine aggregate steel bars with different contents under energized acceleration environment

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图 5 通电加速环境下镁水泥再生细骨料钢筋XRD图谱

Figure 5. XRD patterns of magnesium cement recycled fine aggregate rebar under accelerated environment

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图 6 通电加速环境下不同掺量的镁水泥再生细骨料钢筋混凝土SEM图像

Figure 6. SEM images of magnesium cement recycled fine aggregate reinforced concrete with different content in energized environment

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图 7 通电加速环境下镁水泥再生细骨料混凝土XRD图谱

Figure 7. XRD patterns of magnesium cement recycled fine aggregate concrete under accelerated environment

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图 8 不同掺量的镁水泥再生细骨料混凝土动弹性模量分布概率图

Figure 8. Distribution probability diagram of dynamic elastic modulus of magnesium cement recycled fine aggregate concrete with different contents

m—Shape parameter; η—Scale parameter

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图 9 掺量为45%的镁水泥再生细骨料钢筋混凝土腐蚀电流密度分布概率图

Figure 9. Corrosion current density distribution probability diagram of magnesium cement recycled fine aggregate reinforced concrete with 45% content

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图 10 二参数Weibull分布回归

Figure 10. Two-parameter Weibull distribution regression

R²—Fit coefficient

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图 11 镁水泥再生细骨料钢筋腐蚀电流密度可靠度曲线

Figure 11. Corrosion current density reliability curves of magnesium cement recycled fine aggregate rebar

Z—Reliability obtained by the median rank method; J—Reliability obtained by maximum likelihood method

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图 12 镁水泥再生细骨料钢筋混凝土动弹模量可靠度曲线

Figure 12. Magnesium cement recycled fine aggregate reinforced concrete dynamic elastic modulus reliability curves

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图 13 镁水泥再生细骨料钢筋腐蚀电流密度概率密度曲线

Figure 13. Probability density curves of corrosion current density of magnesium cement recycled fine aggregate rebar

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图 14 镁水泥再生细骨料钢筋混凝土动弹模量概率密度曲线

Figure 14. Probability density curves of dynamic elastic modulus of magnesium cement recycled fine aggregate reinforced concrete

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图 15 镁水泥再生细骨料钢筋腐蚀电流密度失效率曲线

Figure 15. Corrosion current density failure rate curves of magnesium cement recycled fine aggregate rebar

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图 16 镁水泥再生细骨料钢筋混凝土动弹模量失效率曲线

Figure 16. Dynamic elastic modulus failure rate curves of magnesium cement recycled fine aggregate reinforced concrete

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表 1 再生细骨料物理性能指标

Table 1. Physical properties of recycled fine aggregates

Performance	Water absorption/%	Ignition loss/%	Activity index/%	Apparent density /(kg·m⁻³)	Bulk density /(kg·m⁻³)	Particle size range/mm
Index	3.9	4	60	2482	1260	0.16-0.5

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表 2 镁水泥再生细骨料混凝土配合比

Table 2. Mix proportion of reinforced concrete with magnesium oxychloride cement (kg/m³)

MgO	Water reducer	Water resistant agent	Fly ash	Stone	MgCl₂	Water	Sane	Regenerated fine aggregate content/%
388.96	16.02	4.58	68.64	1162	147.81	135.59	531.25	15
388.96	16.02	4.58	68.64	1162	147.81	135.59	437.5	30
388.96	16.02	4.58	68.64	1162	147.81	135.59	343.75	45

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表 3 镁水泥再生细骨料钢筋混凝土锈蚀状态与腐蚀电流密度i_corr 的关系^[19]

Table 3. Relationship between corrosion state and corrosion current density i_corr of magnesium cement recycled fine aggregate reinforced concrete^[19] (μA·cm⁻²)

Corrosion current density	i_corr<0.1	0.1≤i_corr<0.5	0.5≤i_corr<1.0	i_corr≥1
Rust state	Not corroded	Low corrosion	Moderate corrosion	Severely corroded

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表 4 不同掺量再生细骨料钢筋混凝土的腐蚀电流密度值i_corr

Table 4. Corrosion current density values of reinforced concrete with different contents of recycled fine aggregate i_corr (µA·cm⁻²)

t/d	Recycled fine aggregate content (mass ratio)
t/d	15%	30%	45%
0	0.0249	0.0367	0.0793
90	0.0183	0.0221	0.1367
180	0.0311	0.1215	0.6946
270	0.0943	0.1951	1.5337
360	0.0744	0.2510	1.3725
450	0.0756	0.3608	2.3702
540	0.1336	0.3953	3.4219
630	0.2920	0.4359	2.7995
720	0.3431	0.4901	3.1545
Note: t—Power-on time.

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表 5 镁水泥再生细骨料钢筋混凝土相对动弹模量评价参数

Table 5. Evaluation parameters of relative dynamic elastic modulus of magnesium cement recycled fine aggregate reinforced concrete

t/d	Recycled fine aggregate content (mass ratio)
t/d	15%	30%	45%
0	1	1	1
1-90	1.1951	0.7821	0.8473
2-180	1.0894	0.6998	0.6728
3-270	1.1891	0.7961	0.7466
4-360	1.1039	0.7360	0.6660
5-450	1.1388	0.7221	0.6962
6-540	1.1295	0.7582	0.7198
7-630	1.0588	0.6703	0.5754
8-720	0.8169	0.4474	0.3270

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表 6 中位秩法参数估计值

Table 6. Estimated values of median rank method parameters

Evaluation parameters	Dosage	Estimated parameter	$ M({t_i}) = \dfrac{{n({t_i})}}{{n + 0.4}} $	$ M({t_i}) = \dfrac{{n({t_i}) - 0.3}}{{n + 0.4}} $	$ M({t_i}) = \dfrac{{n({t_i}) - 0.5}}{n} $	$ M({t_i}) = \dfrac{{n({t_i}) - 0.375}}{{n + 0.25}} $
Dynamic modulus	15%	m	−57.7578	−46.7735	−58.9149	−57.5832
	15%	η	857.3885	855.2996	945.9229	886.8786
	30%	m	−41.8435	−32.5912	−42.4287	−41.2342
	30%	η	683.3401	683.5395	781.1129	716.2332
	45%	m	−18.4942	−19.9327	−14.0796	−20.9632
	45%	η	547.1807	593.3212	644.7079	590.8916
i_corr	45%	m	−21.8989	−22.4775	−23.8497	−23.8537
i_corr	45%	η	409.5679	393.7802	441.9369	392.1016
Notes: n(t_i)—Time corresponding to specimen loss; n—Sample size; M(t_i)—Median rank.

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表 7 极大似然法参数估计值

Table 7. Maximum likelihood method parameter estimates

Evaluation parameter	Dosage	Estimated parameter	Value
Dynamic modulus	15%	m	−57.3905
	15%	η	813.3148
	30%	m	−40.7319
	30%	η	639.5112
	45%	m	−18.5544
	45%	η	535.4391
i_corr	45%	m	−20.8969
i_corr	45%	η	366.3250

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