Please wait a minute...
浙江大学学报(工学版)
浙江大学学报(工学版)
土木工程     
FRP约束混凝土圆柱应力-应变模型的适用性
熊海贝, 李奔奔, 江佳斐
同济大学 结构工程与防灾研究所,上海 200092
Applicability of stress strain model for FRP confined concrete cylinders
XIONG Hai bei, LI Ben ben, JIANG Jia fei
Research Institute of Structural Engineering and Disaster Reduction, Tongji University, Shanghai 200092,China
 全文: PDF(1357 KB)   HTML
摘要：

纤维增强复合材料（FRP）约束混凝土的应力 应变模型分为设计型模型和分析型模型.设计型模型通过对实验数据的回归分析给出数学公式显式表达轴向应力 应变关系.分析型模型则基于混凝土的轴向应力 应变关系与应力路径无关的假设,通过增量法获取FRP约束混凝土的轴向应力 应变曲线.为有助于在结构分析中合理选取模型,对以FRP约束混凝土圆柱为研究对象的2种模型的发展和特点进行综述；通过分析设计型模型的控制变量围压比与分析型模型的轴向应力的应力路径相关性,研究各模型的适用性.对于设计型模型,由于施工工艺、产品材料以及测量方法的差异引起的围压比的不确定性是影响其适用性的主要因素；对于分析型模型,应力路径相关性是影响其适用范围的主要原因.分析结果表明：当主动约束与被动约束达到相同值时的轴向应力比不为1,该应力比与侧向约束刚度比呈线性反比关系.在现有的分析型模型中引入轴向应力比是扩大该类模型适用范围的关键.
Abstract:

The stress strain models of fiber reinforced plastic confined(FRP confined) concrete are classified into, design oriented models and analysis oriented models. The design oriented models use mathematical formulas regressed by test data to describe the stress strain behavior explicitly. The analysis oriented models are based on the assumption that the path is independence on the stress strain relationship, and obtain the axial stress strain curves of FRP confined concrete through incremental method. A state of art review was conducted on the development and features of two models for FRP confined concrete cylinders in order to assist the model selection in the structural analysis. And the applicability of each model was investigated by analyzing the lateral confinement ratio of controlling variable for the design oriented models and the path dependence of axial stress for the analysis oriented models. For the former models, the uncertainty of lateral confinement ratio caused by the variation in workmanship, products or measurement method is the key factor affecting the applicability. For the latter ones, the path dependence has been proved to be the key factor limiting the application scope. The analysis results demonstrate that the axial stress ratio doesn’t equal one when the active confinement and the passive confinement reach the same pressure. The axial stress ratio is in inverse proportion to the lateral confinement stiffness ratio. It is essential to introduce the axial stress ratio into the existing analysis oriented model to extend the application scope.
出版日期: 2015-12-31
:  TU 528.572  
基金资助:

国家自然科学基金资助项目（51308404）；科技支撑计划课题资助项目（2014BAL05B01）；中央高校基本科研业务费专项资金资助项目（2013KJ042）.
通讯作者: 江佳斐,女,助理研究员. ORCID: 0000 0002 8123 8453.     E-mail: jfjiang@tongji.edu.cn
作者简介: 熊海贝（1964—）,女,教授,从事混凝土结构、现代木结构及组合结构的抗震性能研究. ORCID: 0000 0003 4406 8632. E-mail：xionghaibei@tongji.edu.cn
服务　　
把本文推荐给朋友
加入引用管理器
E-mail Alert
RSS
作者相关文章　　

引用本文:

熊海贝, 李奔奔, 江佳斐. FRP约束混凝土圆柱应力-应变模型的适用性[J]. 浙江大学学报(工学版), 10.3785/j.issn.1008-973X.2015.12.017.

XIONG Hai bei, LI Ben ben, JIANG Jia fei. Applicability of stress strain model for FRP confined concrete cylinders. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 10.3785/j.issn.1008-973X.2015.12.017.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2015.12.017    或    http://www.zjujournals.com/eng/CN/Y2015/V49/I12/2363

［1］ LAM L, TENG J G. Design oriented stress strain model for FRP confined concrete ［J］. Construction and Building Materials, 2003, 17(6): 471-489.
［2］ SAIIDI M S, SURESHKUMAR K, PULIDO C. Simple carbon fiber reinforced plastic confined concrete model for moment curvature analysis ［J］. Journal of Composites for Construction, 2005, 9(1): 101-104.
［3］ BINICI B. Design of FRPs in circular bridge column retrofits for ductility enhancement ［J］. Engineering Structures, 2008, 30(3): 766-776.
［4］ HARRIES K A, KHAREL G. Behavior and modeling of concrete subject to variable confining pressure ［J］. ACI Materials Journal, 2002, 99(2):180-189.
［5］ TENG J G, HUANG Y L, LAM L, et al. Theoretical model for fiber reinforced polymer confined concrete ［J］. Journal of Composites for Construction, 2007, 11(2): 201-210.
［6］ 王震宇,王代玉,吕大刚. FRP约束混凝土圆柱应力 应变分析型模型［J］.哈尔滨工业大学学报,2010, 42 (2): 200-205.
WANG Zhen yu, WANG Dai yu, LU Da gang. Stress strain analytical model for FRP confined concrete circular column ［J］. Journal of Harbin Institute of Technology, 2010, 42(2): 200-205.
［7］ XIAO Y, WU H. Compressive behavior of concrete confined by carbon fiber composite jackets ［J］. Journal of Materials in Civil Engineering, 2000, 12(2):139-146.
［8］ 吴刚,吕志涛.FRP约束混凝土圆柱无软化段时的应力 应变关系研究［J］.建筑结构学报, 2003, 24(5):1-8.
WU Gang, LV Zhi tao. Study on the stress strain relationship of FRP confined concrete circular column without a strain softening response ［J］. Journal of Building Structures, 2003, 24(5): 1-8.
［9］ TOUTANJI H. Stress strain characteristics of concrete columns externally confined with advanced fiber composite sheets ［J］. ACI Materials Journal, 1999, 96(3):397-404.
［10］ RICHARD R M, ABBOTT B J. Versatile elastic plastic stress strain formula ［J］. ASCE Journal of Engineering Mechanics Division, 1975, 101(4): 511-515.
［11］ MIYAUCHI K. Estimation of strengthening effects with carbon fiber sheet for concrete column ［C］ ∥ Proceedings of the 3rd International Symposium on Non Metallic (FRP) Reinforcement for Concrete Structures. Sapporo： FRPRCS 3, 1997: 217-224.
［12］ PANTELIDES C P, YAN Z. Confinement model of concrete with externally bonded FRP jackets or posttensioned FRP shells ［J］. Structural Engineering, 2007, 133(9)： 1288-1296.
［13］ SAMAAN M, MIRMIRAN A, SHAHAWY M. Model of concrete confined by fiber composites ［J］. Journal of Structural Engineering, 1998, 124(9): 1025-1031.
［14］ 肖岩, 吴徽, 陈宝春. 碳纤维套箍约束混凝土的应力 应变关系［J］. 工程力学, 2002, 19(2): 154-159.
XIAO Yan, WU Hui, CHEN Bao chun. Stress strain relationship of CFRP confined concrete ［J］. Engineering Mechanics, 2002, 19 (2): 154-159.
［15］ 刘明学,钱稼茹.FRP约束圆柱混凝土受压应力 应变关系模型 ［J］. 土木工程学报, 2006, 39(11): 1-6.
LIU Ming xue, QIAN Jia ru. Compressive stress strain model for concrete of FRP confined cylinders ［J］. China Civil Engineering Journal, 2006, 39(11): 1-6.
［16］ OZBAKKALOGLU T, LIM J C, VINCENT T. FRP confined concrete in circular sections: review and assessment of stress strain models ［J］. Engineering Structures, 2013, 49: 1068-1088.
［17］ GB50608 2010,纤维增强复合材料建设工程应用技术规范［S］.北京：中国计划出版社,2010.
［18］ 吴刚,吴智深,吕志涛.FRP约束混凝土圆柱有软化段时的应力 应变关系研究［J］.土木工程学报,2006, 39(11): 7-14.
WU Gang, LU Zhi shen, LV Zhi tao. Study of the stress strain relationship of FRP confined circular concrete column with a strain softening response ［J］. China Civil Engineering Journal, 2006, 39(11): 7-14.
［19］ HOSHIKUMA J, KAWASHIMA K, Nagaya K, et al. Stress strain model for confined reinforced concrete in bridge piers ［J］. Journal of Structural Engineering, 1997, 123(5): 624-633.
［20］ PANTELIDES C P, YAN Z. Confinement model of concrete with externally bonded FRP jackets or posttensioned FRP shells ［J］. Journal of Structural Engineering, 2007, 133(9): 1288-1296.
［21］ WU G, WU Z S, LU Z T. Design oriented stress strain model for concrete prisms confined with FRP composites ［J］. Construction and Building Materials, 2007, 21(5): 1107-1121.
［22］ TENG J G, JIANG T, LAM L, et al. Refinement of a design oriented stress strain model for FRP confined concrete ［J］. Journal of Composites for Construction, 2009, 13(4): 269-278.
［23］ ACI 440.2R 08. Guide for the design and construction of externally bonded FRP systems for strengthening concrete structures ［S］. Farmington Hills: American Concrete Institute, 2008.
［24］ YOUSSEF M N, FENG Q, MOSALLAM A S. Stress strain model for concrete confined by FRP composites ［J］. Composites Part B, 2007, 38: 614-628.
［25］ WEI Y Y, WU Y F. Unified stress strain model of concrete for FRP confined columns ［J］. Construction and Building Materials, 2012, 26(1): 381-392.
［26］ SPOELSTRA M R, MONTI G. FRP confined concrete model ［J］. Journal of Composites for Construction, 1999, 3(3): 143-150.
［27］ BINICI B. An analytical model for stress strain behavior of confined concrete ［J］. Engineering Structures, 2005, 27(7): 1040-1051.
［28］ WANG L M, WU Y F. Effect of corner radius on the performance of CFRP confined square concrete columns: Test ［J］. Engineering Structures, 2008, 30(2): 493-505.
［29］ WU Y F, JIANG J F. Effective strain of FRP for confined circular concrete columns ［J］. Composite Structures, 2013, 95: 479-491.
［30］ JIANG T, TENG J G. Analysis oriented stress strain models for FRP confined concrete ［J］. Engineering Structures, 2007, 29(11): 2968-2986.
［31］ POPOVICS S. A numerical approach to the complete stress strain curve of concrete ［J］. Cement and Concrete Research, 1973, 3(5): 583-599.
［32］ MANDER J B, PRIESTLEY M J N, PARK R. Theoretical stress strain model for confined concrete ［J］. Journal of Structural Engineering, 1988, 114(8):1804-1826.
［33］ 陶忠, 高献, 于清, 等. FRP 约束混凝土的应力 应变关系［J］. 工程力学, 2005, 22(4): 187-195.
TAO Zhong, GAO Xian, YU Qing, et al. Stress strain relationship of FRP confined concrete ［J］. Engineering Mechanics, 2005, 22(4): 187-195.
［34］ ATTARD M M, SETUNGE S. Stress strain relationship of confined and unconfined concrete ［J］. ACI Materials Journal, 1996, 93(5): 1-11.
［35］ FAM A Z, RIZKALLA S H. Confinement model for axially loaded concrete confined by circular fiber reinforced polymer tubes ［J］. ACI Structural Journal, 2001, 98(4): 451-461.
［36］ RICHART F E, BRANDTZAEG A, BROWN R L. A study of the failure of concrete under combined compressive stresses ［J］. University of Illinois Bulletin, 1928, 26: 185.
［37］ MIRMIRAN A, SHAHAWY M, SAMAAN M, et al. Effect of column parameters on FRP confined concrete ［J］. Journal of Composites for Construction, 1998,2(4): 175-185.
［38］ HU B. An improved criterion for sufficiently/insufficiently FRP confined concrete derived from ultimate axial stress ［J］. Engineering Structures, 2013, 46:431-446.
［39］ CUI C. Behaviour of normal and high strength concrete confined with fibre reinforced polymers (FRP) ［D］. Toronto: University of Toronto, 2009.
［40］ CSUKA B, KOLLR L P. FRP confined circular concrete columns subjected to concentric loading ［J］. Journal of Reinforced Plastic and Composites. 2010,29(23): 3504-3520.
［41］ JIANG J F, Wu Y F. Design guide for confined concrete columns based on plasticity theory ［C］ ∥ Proceedings of 7th International Conference on FRP Composites in Civil Engineering, Vancouver: CICE7, 2014.
［42］ WU H L, WANG Y F, YU L, et al. Experimental and computational studies on high strength concrete circular columns confined by aramid fiber reinforced polymer sheets ［J］. Journal of Composites for Construction, 2009, 13(2): 125-134.
［43］ XIAO Y, WU H. Compressive behavior of concrete confined by various types of FRP composite jackets ［J］. Journal of Reinforced Plastics and Composites, 2003, 22(13): 1187-1201.
［44］ WU G, LU Z T, WU Z S. Strength and ductility of concrete cylinders confined with FRP composites ［J］. Construction and Building Materials, 2006, 20（3）:134-148.
［45］ LEE C S, HEGEMIER G A. Model of FRP confined concrete cylinders in axial compression ［J］. Journal of Composites for Construction, 2009, 13(5): 442-454.
［46］ MORAN D A, PANTELIDES C P. Elliptical and circular FRP confined concrete sections: a Mohr Coulomb analytical model ［J］. International Journal of Solids and Structures, 2012, 49(6): 881-898.
［47］ XIAO Q G, TENG J G, YU T. Behavior and modeling of confined high strength concrete ［J］. Journal of Composites for Construction, 2010, 14(3): 249259.
［48］ OZBAKKALOGLU T, LIM J C. Axial compressive behavior of FRP confined concrete: experimental test database and a new design oriented model ［J］. Composites: Part B, 2013, 55: 607-634.
［49］ CHUN S S, PARK H C. Load carrying capacity and ductility of RC columns confined by carbon fiber reinforced polymer ［C］ ∥ Proceedings of the 3rd International Conference on Composites in Infrastructure, San Francisco: ICCI3, 2002.
［50］ VAN MIER J G M, SHAH S P, ARNAUD M, et al. Strain softening of concrete in uniaxial compression ［J］. Materials and Structures, 1997, 30(4):195-209.
［51］ 逯静洲,林皋,肖诗云,等.混凝土材料经历三向受压荷载历史后抗拉强度劣化研究［J］.水利学报,2001, 1: 68-75.
LU Jing zhou, LIN Gao, XIAO Shi yun, et al. Study on tensile strength reduction of concrete due to triaxial compressive loading history ［J］. Journal of Hydraulic Engineering, 2001, 1: 68-75.
［52］ CANDAPPA D C, SANJAYAN J G, SETUNGE S. Complete triaxial stress strain curves of high strength concrete ［J］. Journal of Materials in Civil Engineering, 2001, 13（3）: 209-215.
[1] 熊海贝,曹纪兴,张凤亮. 含加强层框筒结构位移监测方法[J]. 浙江大学学报(工学版), 2016, 50(9): 1752-1760.