长沙理工大学学报（自然科学版）2025，Vol.22Issue(1)：91-100,10.DOI:10.19951/j.cnki.1672-9331.20230504001
表层嵌贴CFRP-混凝土结构的弹性半解析解
Elastic semi-analytical solution of near-surface mounted CFRP-concrete structures
摘要
Abstract
[Purposes]This paper aims to investigate the mechanical properties of the near-surface mounted(NSM)carbon fiber reinforced plastic(CFRP)-concrete structures and explore the internal displacement and stress distribution laws of epoxy adhesive in the structures.[Methods]The epoxy adhesive and CFRP strips in the slot were simplified into a two-dimensional(2D)plane strain model.A governing equation for the displacement of the epoxy adhesive was established,incorporating the shear stress distribution along the thickness direction of the adhesive layer.An elastic semi-analytical solution was derived using a complex exponential series.[Findings]The elastic semi-analytical solution can describe the distribution law of shear stress along the thickness direction of the adhesive layer.The shear stress has a parabola with a downward opening,and the curvature of the parabola becomes larger as the curve is closer to the loading end.By comparing the elastic semi-analytical solution results with finite element method(FEM)simulation results,it is found that the the analytical results of the peak horizontal displacement are 4.66%smaller than the 2D FEM simulation results and 14.79%larger than the three-dimensional(3D)FEM simulation results.The analytical results of the peak shear stress are 3.58%smaller than the 2D FEM simulation results and 17.85%larger than the 3D FEM simulation results.The results of the elastic semi-analytical solution are compared with the experimental results,and it is found that the analytical results are basically consistent with the experimental results in the linear elastic range.[Conclusions]The displacement and shear stress of the epoxy adhesive in the linear elastic stage,which can provide a new,convenient,and effective calculation method for the safety assessment and design of NSM CFRP strip-concrete structures,can be directly calculated by the elastic semi-analytical solution.关键词
表层嵌贴/碳纤维复合材料/混凝土结构加固/环氧树脂胶/弹性半解析解/切应力分布Key words
near-surface mounted/carbon fiber reinforced plastic/concrete structure reinforcement/epoxy adhesive/elastic semi-analytical solution/shear stress distribution分类
交通运输引用本文复制引用
王恒佳,潘军,彭晖,赵冰..表层嵌贴CFRP-混凝土结构的弹性半解析解[J].长沙理工大学学报（自然科学版）,2025,22(1):91-100,10.基金项目
国家自然科学基金资助项目(51578078、52178186) Projects(51578078,52178186)supported by the National Natural Science Foundation of China （51578078、52178186）
