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浙江大学学报(工学版)
Journal of ZheJiang University (Engineering Science)  2024, Vol. 58 Issue (5): 1020-1028    DOI: 10.3785/j.issn.1008-973X.2024.05.015
    
Effect of shear lag on stress at CFRP plate-steel beam reinforcement interface
Peiyun ZHU1(),Xiaozhang LI2,Mingming YU1,Xu XIE1,*()
1. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China
2. College of Civil Engineering and Architecture, Kunming University of Science and Technology, Kunming 650500, China
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Abstract  

The theoretical equations for interfacial stress calculation of carbon-fiber reinforced plastics (CFRP) reinforced beam considering shear lag were established based on the energy variational method of virtual work principle in order to analyze the effect of shear lag generated by bending deformation of I-section steel beams on interfacial normal and shear stresses of the adhesive layer. Then the correctness of the theoretical equations was verified by comparing with the experiment and finite element results. Interfacial shear and normal stresses of the adhesive layer of I-section steel beams under the action of different bending moments were conducted. Results show that assuming the longitudinal displacement of the flange plates caused by shear lag distributed in the cubic parabolic function along the lateral direction is reasonable. The shear lag effect cannot be ignored on interfacial stresses at the ends of the CFRP reinforcing I-section steel beams under bending deformation, and the impact degree magnifies with the increase of the section bending moment and flange plate width.

Key words： carbon-fiber reinforced plastics (CFRP)      reinforcement of I-section steel beam      shear lag      energy variational method      interfacial stress     
Received: 14 July 2023      Published: 26 April 2024
CLC:  TU 398  
Fund:  国家自然科学基金资助项目（52178174，51878606）.
Corresponding Authors: Xu XIE     E-mail: 22112084@zju.edu.cn;xiexu@zju.edu.cn
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Peiyun ZHU
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Cite this article:

Peiyun ZHU,Xiaozhang LI,Mingming YU,Xu XIE. Effect of shear lag on stress at CFRP plate-steel beam reinforcement interface. Journal of ZheJiang University (Engineering Science), 2024, 58(5): 1020-1028.

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https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2024.05.015     OR     https://www.zjujournals.com/eng/Y2024/V58/I5/1020


剪力滞对CFRP板-钢梁加固界面应力的影响

为了分析工字钢梁弯曲变形产生的剪力滞效应对黏结层法向应力和切应力的影响，基于虚功原理的能量变分法建立考虑剪力滞的碳纤维增强复合材料(CFRP)加固梁黏结应力计算理论方程. 通过与试验和有限元数值模拟结果的对比，验证了理论方程的正确性. 开展不同弯矩作用下的工字型钢梁黏结层界面切应力和法向应力参数分析. 结果表明，剪力滞引起的翼缘板纵向位移沿横向3次抛物线分布的假定是合理的. 剪力滞效应对CFRP加固工字钢梁弯曲变形下的端部界面应力影响不可忽略，影响程度随着截面弯矩和翼缘板宽度的增加而增大.


关键词： 碳纤维增强复合材料(CFRP),  工字型钢梁加固,  剪力滞,  能量变分法,  界面应力 
Fig.1 Cross-sectional geometric parameters and longitudinal displacement assumptions for thin plates
Fig.2 Internal forces of infinitesimal structure and interfacial stress of adhesive layer
材料E/GPa$\nu $
钢梁2060.3
CFRP板1630.3
黏结层2.440.35
Tab.1 Material parameter of test beam
Fig.3 Reinforced simply supported beam under uniform load
Fig.4 Figures of specimens and test devices
Fig.5 Strain gauge arrangement and measuring point
Fig.6 Finite element model of test beam
Fig.7 Strain of CFRP plates and lower flange plate of steel beam along beam length
Fig.8 Strain of CFRP plates
Fig.9 Strain of lower flange plate of steel beam
Fig.10 Reinforced simply supported beam with bending moment applied at each end under uniform load
材料E11/GPaE22 /GPaG12/GPa$\nu $
钢梁206206790.3
CFRP板3101026.40.3
黏结层1.281.280.470.35
Tab.2 Material parameters of reinforced beam
Fig.11 Interfacial stresses of adhesive layer in simply supported beam with bending moment ql2/10 applied at each end
Fig.12 Interfacial stress of adhesive layer in wide flange plate simply supported beam under bending moment ql2/10 applied at each end
Fig.13 Interfacial stress of adhesive layer in narrow flange plate simply supported beam under bending moment ql2/10 applied at each end
Fig.14 Reinforced cantilever beam under uniform load
Fig.15 Interfacial normal and shear stresses of adhesive layer in cantilever beam
Fig.16 Simply supported beam under bending moment applied at each end and uniform load
Fig.17 Variation of end interfacial stress with additional bending moment
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