FRP混凝土界面损伤演化过程数值模拟*
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（1 长沙理工大学土木与建筑学院， 长沙 410114；2 长沙理工大学桥梁工程安全控制教育部重点实验室， 长沙 410114)［摘要］采用界面单剪试验考察了FRP-混凝土界面的粘结行为。基于试验结果和不可逆热力学的弹性损伤理论建立了有限元模型，模拟了FRP-混凝土界面在加载过程中的损伤演化，提出了混凝土材料的损伤本构模型，编制了相应的ABAQUS用户子程序。结果表明，FRP-混凝土试件的数值计算结果与试验结果吻合较好，验证了有限元模型的正确性，并给出了混凝土本构模型中损伤特性参数的取值。研究结果表明，提出的基于损伤理论的有限元数值计算方法能够很好地描述FRP-混凝土构件整个界面的损伤演化和剥离破坏过程。［关键词］FRP; 混凝土; 损伤演化; 数值分析; 有限元模型中图分类号：TU378 文献标识码：A 文章编号：1002-848X(2015)09-0103-05Numerical simulation on damage evolution process of FRP-concrete interfacePeng Hui1,2, Gao Yong1, Tang Xuesong1,2, Xie Chao1(1 School of Civil Engineering and Architecture, Changsha University of Science & Technology, Changsha 410114, China; 2 Ministry of Education Key Laboratory of Safety Control of Bridge Engineering, Changsha University of Science & Technology, Changsha 410114, China)Abstract: The single shear tests were conducted to investigate the bond behavior of the fiber reinforced polymer（FRP）-concrete interface. Based on the experimental data and elastic damage theory from irreversible thermodynamics, the finite element model was established to simulate the damage evolution of FRP-concrete interface during loading process. Moreover, the damage constitutive model of concrete was established and the ABAQUS subprogram was compiled. Results show that the numerical-calculation results of the bond behavior of the specimens are in good agreement with the experimental data, which verifies the accuracy of the finite element model. The value of damage characteristic parameters in concrete constitutive model is offered. The study results show that finite element method based on damage theory can describe the damage evolution and debonding failure process of the whole surface for FRP-concrete component.Keywords: fiber reinforced polymer(FRP); concrete; damage evolution; numerical analysis; finite element model* 国家重点基础研究发展计划项目（2015CB057701），国家自然科学基金项目（51008036），湖南省教育厅科学研究重点项目（14A005），湖南省研究生创新项目（CX2014B373）,现代公路交通基础设施先进建养技术协同创新中心项目。作者简介：彭晖，博士，教授，Email：huipeng1210@gmail.com。参考文献［1］杨勇新，岳清瑞. 碳纤维布与混凝土粘结性能的试验研究［J］. 建筑结构学报，2001，22(3)：36-42.［2］彭晖，王博.CFRP-混凝土界面粘结的疲劳性能研究［J］. 实验力学，2014，29(2)：189-199.［3］TENG J G, CHEN J F, SIMTH S T, et al. FRP-strengthened RC structures ［M］. London: John Wiley & Sons, 2002.［4］陆新征，谭壮，叶列平. FRP布-混凝土界面粘结性能的有限元分析［J］. 工程力学，2004，21(6): 45-50.［5］WU Z S. Element-level study on stress transfer based on local bond properties ［R］. Technical Report of JCI Technical Committee on Retrofit Technology, 2003: 44-56.［6］陆新征，叶列平，滕锦光. FRP片材与混凝土粘结性能的精细有限元分析［J］. 工程力学，2006，23(5)：74-82.［7］吴业飞，陈伟球. 基于内聚力模型的FRP-混凝土粘结强度分析［J］. 工程力学，2010，27(7)：113-118.［8］王斌，郑山锁，李磊. 基于损伤理论的型钢与混凝土界面损伤分析［J］. 工业建筑，2010,40（4）：112-120［9］唐雪松，蒋持平，郑健龙.各向同性弹性损伤本构方程的一般形式［J］.应用数学和力学，2001，22(12)：1317-1323.［10］TANG X S, JIANG C P, ZHENG J L. Anisotropic elastic constitutive relations for damaged materials by application of irreversible thermodynamics ［J］. Theoretical and Applied Fracture Mechanics, 2002, 38(3): 211-220.［11］CHANDRA N, LI H, SHET C, et al. Some issues in the application of cohesive zone models for metal-ceramic interfaces ［J］. International Journal of Solids and Structures, 2002, 39(10): 2827-2855.［12］PARK K, PAULINO G H, ROESLER J R. A unified potential-based cohesive model of mixed-mode fracture ［J］. Journal of the Mechanics and Physics of Solids, 2009, 57(6): 891-908.［13］ANYFANTIS K N, TSOUALIS N G. A novel traction-separation law for the prediction of the mixed mode response of ductile adhesive joints ［J］. International Journal of Solids and Structures, 2012, 49(1): 213-226.［14］CAMANHO P P, DAVILA C G. Mixed-mode decohesion finite elements for the simulation of delamination in composite materials ［R］. Washington D.C.:NASA,2002.［15］ ABAQUS 612 User’s manual［M］.ABAQUS, Inc. Providence, 2012.［16］UEDA T, DAI J G, SATO Y. A nonlinear bond stress-slip relationship for FRP sheet-concrete interface［C］//Proc. of International Symposium on Latest Achievement of Technology and Research on Retrofitting Concrete Structures. 2003: 113-120.［17］徐涛，唐春安，张永彬，等.FRP-混凝土界面剥离破坏过程并行数值模拟［J］. 固体力学学报，2011，32(1)：88-94.
