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Journal of ZheJiang University (Engineering Science)  2026, Vol. 60 Issue (5): 954-963    DOI: 10.3785/j.issn.1008-973X.2026.05.005
    
Anchorage performance of large-diameter rebar-UHPC grouting bellows
Jiahang LI1(),Mi ZHOU1,*(),Kai YANG2,Shuai WANG2
1. Shaanxi Provincial Major Laboratory for Highway Bridge & Tunnel, Chang’an University, Xi’an 710064, China
2. Shaanxi Provincial Transport Planning Design and Research Institute Co. Ltd, Xi’an 710068, China
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Abstract  

Four groups of UHPC grouting bellows connectors were designed and fabricated using 40 mm diameter rebars as anchorage, and unilateral pullout tests were carried out. Finite-element models of the experimentally verified UHPC grouting bellows connectors were established, and an expanded parameterization analysis was carried out by taking the diameter of the rebars, the anchor length of the rebars, and the diameter of the bellows as the parameters. The grouted bellows connectors, which used 16 to 50 mm diameter rebars as anchorage, were classified and predicted using a support vector machine (SVM). Results show that pullout damage can be prevented when the bellows length is at least 15 times the rebar diameter and the anchorage length is at least 12 times the rebar diameter. Based on the finite-element models, the recommended anchorage length for rebars of 36 mm diameter and above and the recommended outer diameter of bellows were calculated. The accuracy of the SVM classification model in predicting the damage mode reached 86% for connectors with 16 to 50 mm diameter rebars as anchorage.



Key wordslarge-diameter rebar      grouting bellows      unilateral pullout tests      finite-element models      support vector machine(SVM)     
Received: 31 May 2025      Published: 06 May 2026
CLC:  U 445  
Fund:  国家自然科学基金资助项目(51978062);陕西省重点研发计划项目(2024SF-YBXM-644);陕西省交通科研项目(22-05K);山西省交通科技项目(2021-02-03).
Corresponding Authors: Mi ZHOU     E-mail: 2783590746@qq.com;zhoumi@chd.edu.cn
Cite this article:

Jiahang LI,Mi ZHOU,Kai YANG,Shuai WANG. Anchorage performance of large-diameter rebar-UHPC grouting bellows. Journal of ZheJiang University (Engineering Science), 2026, 60(5): 954-963.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2026.05.005     OR     https://www.zjujournals.com/eng/Y2026/V60/I5/954


大直径钢筋-UHPC灌浆波纹管的锚固性能

设计并制作4组使用40 mm直径钢筋作为锚固的足尺UHPC灌浆波纹管连接件模型,开展单侧拉拔试验. 建立经试验验证的UHPC灌浆波纹管连接件有限元模型,以钢筋直径、钢筋锚固长度和波纹管直径为参数进行拓展参数化分析. 基于支持向量机(SVM)对采用16~50 mm直径钢筋作为锚固钢筋的灌浆波纹管连接件进行分类和预测. 结果表明:当波纹管长度不小于15倍钢筋直径,钢筋锚固长度不小于12倍钢筋直径时,可保证不发生钢筋拔出破坏. 结合有限元模型计算36 mm直径及以上钢筋的建议锚固长度和波纹管的建议外径取值,SVM分类模型预测使用16~50 mm直径钢筋作为锚固钢筋连接件的破坏模式的准确率为86%.


关键词: 大直径钢筋,  灌浆波纹管,  单侧拉拔试验,  有限元模型,  支持向量机(SVM) 
Fig.1 Structure diagram of large-diameter rebar-UHPC grouting bellows connectors
组别l/mmL/mm
a (无黏结)b (有黏结)c (无黏结)
A16040040600
B46030040800
C8048040600
D8048040600
Tab.1 Pullout tests design of large-diameter rebar-UHPC grouting bellows
材料mw/(kg·m?3)材料mw/(kg·m?3)
水泥787.0钢纤维194.0
硅灰197.0消泡剂0.8
粉煤灰78.7减缩剂12.6
石英粉196.6减水剂18.9
石英砂865.9157.4
Tab.2 Mass proportion of UHPC mixture components
Fig.2 Fabrication process schematic diagrams of UHPC grouting bellows connectors
Fig.3 Schematic diagram of loading device for unilateral pullout tests on UHPC grouting bellows connectors
Fig.4 Cross-sectional schematic of failure modes of UHPC grouting bellows connectors
组别La/mm$ b $/mmσ/MPa破坏模式
A115ds10ds574.46钢筋拔出
A2578.37
A3565.55
B120ds7.5ds519.31钢筋拔出
B2540.15
B3529.30
C115ds12ds583.44钢筋拉断
C2583.84
C3588.65
D115ds12ds579.75钢筋拔出
D2591.07
D3582.16
Tab.3 Pullout test results of large-diameter rebar-UHPC grouting bellows
Fig.5 UHPC grouting bellows connectors after test loading
Fig.6 Stress-displacement curves of UHPC grouting bellows connectors
Fig.7 Stress-strain curves for steel materials
Fig.8 Concrete damaged plasticity model
Fig.9 Finite-element models for pullout tests
Fig.10 Stress-displacement curves of UHPC grouting bellows connectors (comparison between numerical simulations and experimental results)
组别$ {\sigma }_{\mathrm{s}} $/MPa$ {\sigma _{\mathrm{s}}'} $/MPa$ {\sigma }_{\mathrm{u}} $/MPa$ \sigma _{\mathrm{u}}' $/MPa破坏模式
A394.33396.21576.42583.98钢筋拔出
B396.35396.12529.59518.64钢筋拔出
C400.40396.20584.33592.06钢筋拉断
Tab.4 Comparison between unilateral pullout test and simulation results for UHPC grouting bellows connectors
编号ds/mmDs/dsa/mmb/mmc/mm
3625089362.47602.5ds60
3650089362.47605ds60
3675076362.11607.5ds60
3675089362.47607.5ds60
3683376362.11608.33ds60
3683389362.47608.33ds60
3610889362.475010.8ds40
4030089402.23603ds60
4050089402.23605ds60
4075076401.90607.5ds60
4075089402.23607.5ds60
4010076401.906010ds50
4010089402.236010ds50
4012076401.906012ds60
4012089402.236012ds60
5030089501.78603ds60
5048089501.78604.8ds60
5098089501.78509.8ds60
5012089501.786012ds60
Tab.5 Geometric parameters of finite-element model
Fig.11 Geometric construction of finite-element model
编号$ \sigma_{\mathrm{u}}^{\prime} $/MPa$ \delta_{\mathrm{u}}^{\prime} $/mm破坏模式
3625089358.425.74钢筋拔出
3650089433.8716.94钢筋拔出
3675076554.7844.60钢筋拔出
3675089551.3543.33钢筋拔出
3683376567.1058.73钢筋拔出
3683389562.1056.37钢筋拔出
3610889592.11101.32钢筋拉断
4030089382.447.01钢筋拔出
4050089399.1117.29钢筋拔出
4075076524.7954.13钢筋拔出
4075089518.6451.63钢筋拔出
4010076590.78111.69钢筋拔出
4010089583.75101.64钢筋拔出
4012076592.07108.38钢筋拉断
4012089592.06103.04钢筋拉断
5030089396.567.52钢筋拔出
5048089439.1618.07钢筋拔出
5098089587.0290.42钢筋拔出
5012089592.08108.01钢筋拉断
Tab.6 Unilateral pullout test results of finite-element model
Fig.12 Determination of critical anchorage length of rebar
Fig.13 Compressive stress of concrete and UHPC under different aperture ratios
编号σmax/MPa
波纹管钢筋笼
361088981.5115.2
4012076124.2144.2
4012089100.4136.8
5012089151.2244.5
Tab.7 Stresses of bellows and rebar cages for different models
Fig.14 Receiver operating characteristic curve
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