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

作　　者：王恒佳 潘军 彭晖[1] 赵冰[1] WANG Hengjia;PAN Jun;PENG Hui;ZHAO Bing(School of Civil and Environmental Engineering,Changsha University of Science&Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学土木与环境工程学院,湖南长沙410114

出　　处：《长沙理工大学学报(自然科学版)》2025年第1期91-100,共10页Journal of Changsha University of Science & Technology:Natural Science

基　　金：国家自然科学基金资助项目(51578078、52178186)。

摘　　要：【目的】深入了解表层嵌贴碳纤维复合材料-混凝土结构的力学性能,探究环氧树脂胶内部位移和应力分布规律。【方法】将开槽内的环氧树脂胶及碳纤维复合材料板条简化为二维平面应变模型,并考虑切应力沿胶层厚度方向的分布规律来建立环氧树脂胶位移的控制方程,用复数项级数法得到控制方程的弹性半解析解。【结果】弹性半解析解可以描述切应力沿胶层厚度方向的分布规律:切应力呈开口向下的抛物线形分布越靠近加载端,抛物线的弧度越大。将弹性半解析解结果与有限元模拟结果对比,可发现:水平位移峰值的解析结果与二维有限元模拟结果相差4.66%,与三维有限元模拟结果相差14.79%;切应力峰值的解析结果与二维有限元模拟结果相差3.58%,与三维有限元模拟结果相差17.85%。将弹性半解析解结果与试验结果对比,发现解析结果与试验结果在线弹性范围内基本吻合。【结论】弹性半解析解可直接计算线弹性阶段内环氧树脂胶的位移及切应力,可为表层嵌贴碳纤维复合材料板条‒混凝土结构的安全性评估与设计提供一种新的、简便的、高效的计算方法。[Purposes]This paper aims to investigate the mechanical properties of the nearsurface 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 

分 类 号：U443.3[建筑科学—桥梁与隧道工程] O343.1[交通运输工程—道路与铁道工程] TU528.572[理学—固体力学]