CFRP布加固方案对RC梁剪切性能及尺寸效应影响分析

金浏; 张江兴; 李冬; 杜修力

doi:10.6052/j.issn.1000-4750.2021.07.0558

CFRP布加固方案对RC梁剪切性能及尺寸效应影响分析

doi: 10.6052/j.issn.1000-4750.2021.07.0558

北京工业大学城市减灾与防灾防护教育部重点实验室，北京 100124

基金项目: 国家自然科学基金项目(51822801)；国家重点研发计划项目(2018YFC1504302)

详细信息

作者简介:
金　浏(1985−)，男，江苏泗阳人，教授，博士，博导，主要从事混凝土结构防灾减灾研究工作(E-mail: jinliu@bjut.edu.cn)

张江兴(1994−)，男，河北石家庄人，博士生，主要从事混凝土结构尺寸效应方面研究(E-mail: zhangjiangxingbjut@163.com)

李　冬(1988−)，男，北京人，研究员，博士，博导，主要从事混凝土全局尺寸效应理论方面研究(E-mail: dong.li@bjut.edu.cn)

通讯作者:
杜修力(1962−)，男，四川广安人，中国工程院院士，博士，博导，主要从事地震工程领域研究(E-mail: duxiuli@bjut.edu.cn)

中图分类号: TU375.1
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出版历程
- 收稿日期: 2021-07-20
- 修回日期: 2021-12-22
- 录用日期: 2022-01-20
- 网络出版日期: 2022-01-17
- 刊出日期: 2022-12-01

ANALYSIS OF THE INFLUENCE OF CFRP SHEETS REINFORCEMENT SCHEME ON SHEAR PERFORMANCE AND SIZE EFFECT OF RC BEAMS

The Key Laboratory of Urban Security and Disaster Engineering, Beijing University of Technology, Beijing 100124, China

摘要

摘要: 采用同时考虑混凝土材料非均质性、钢筋与混凝土之间的相互作用以及CFRP布与混凝土之间的相互作用影响的三维细观数值模拟方法，建立了CFRP布加固RC梁剪切破坏力学分析模型。在验证了细观数值方法合理性的基础上，设计并建立了12根CFRP布加固RC梁细观模型，探究相同CFRP配纤率(用布量)前提下，不同CFRP布加固方案对单调荷载作用下RC梁的剪切性能及尺寸效应的影响。结果表明：CFRP布应变分布与裂缝位置紧密相关，越靠近裂缝位置的CFRP布应变越大，提供的抗剪贡献越多；在CFRP配纤率一致的前提下，CFRP布宽度大厚度小的加固方案优于CFRP布厚度大宽度小的加固方案；CFRP布U型加固RC梁剪切强度存在尺寸效应现象，但相同CFRP配纤率下，不同CFRP布加固方案对名义抗剪强度尺寸效应的影响较小，可以忽略。
- 钢筋混凝土(RC)梁 /
- CFRP布 /
- 加固方案 /
- 剪切性能 /
- 尺寸效应
Abstract: A mechanical analysis model for shear failure of CFRP sheets strengthened RC beams was established by using a three-dimensional (3D) meso-scale simulation method which considers the heterogeneity of concrete materials, the interaction between reinforcements and concrete and the interaction between CFRP sheets and concrete. On the basis of verifying the rationality of the meso-scale numerical method, the meso-models of 12 CFRP sheets reinforced RC beams were designed and established to explore the influence of different CFRP sheets reinforcement schemes on the shear performance and size effect of RC beams under monotonic load. In this investigation, all beams have the same CFRP fiber ratio (amount of CFRP sheets). The results indicate that: the CFRP strain distribution is closely related to the crack location, the closer the CFRP sheets to the crack location, the greater the CFRP strain; With the same CFRP fiber ratio, the reinforcement scheme with large width and small thickness of CFRP sheets is better than that with large thickness and small width; There is a size effect phenomenon in the shear strength of RC beams strengthened with U-shaped CFRP sheets. However, under the same CFRP fiber ratio, different reinforcement scheme has very little influence on the size effect of nominal shear strength and thus can be ignored.
- RC beam /
- CFRP sheets /
- reinforcement scheme /
- shear performance /
- size effect

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图 1 CFRP布加固RC梁三维细观数值分析模型示意图

Figure 1. 3D meso-scale numerical analysis model of CFRP sheets strengthened RC beam

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图 2 钢筋-混凝土粘结滑移(τ-s)模型

Figure 2. The bond-slip relationship between rebars and concrete

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图 3 试验结果与模拟结果破坏模式对比图

Figure 3. Comparison of failure modes between the test results and simulation results

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图 4 试件试验结果与模拟结果荷载-位移曲线对比图

Figure 4. Comparison diagram of load-displacement curve between test results and simulation results

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图 5 CFRP布U型加固RC梁模型示意图

Figure 5. Schematic diagram of the model of CFRP sheets U-shaped strengthened RC beam

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图 6 CFRP布加固RC梁破坏模式图

Figure 6. Failure mode diagrams of CFRP sheets strengthened RC beams

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图 7 相同CFRP配纤率不同加固方案下梁的荷载-位移曲线

Figure 7. Load - displacement curves of beams under different reinforcement schemes with the same CFRP fiber ratio

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图 8 CFRP布的应变云图

Figure 8. Strain cloud diagram of CFRP sheets

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图 9 CFRP布应变分布图

Figure 9. CFRP sheets strain distribution diagram

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图 10 CFRP布加固RC梁名义抗剪强度趋势

Figure 10. Trend of nominal shear strength of RC beams strengthened with CFRP sheets

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图 11 CFRP布加固RC梁名义抗剪强度尺寸效应拟合

Figure 11. Size effect fittings on the nominal shear strength of RC beams strengthened with CFRP sheets

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表 1 模拟中所用钢筋力学参数

Table 1. Mechanical parameters of the steel bars

材料	纵筋	箍筋
型号	HRB400	HPB335
直径d/mm	28	6.5
密度ρ/(kg/m³)	7850	7850
弹性模量E/GPa	200	200
泊松比ν	0.3	0.3
屈服强度f_y/MPa	410	325

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表 2 模拟中混凝土细观组分力学参数

Table 2. Mechanical parameters of the concrete meso-components utilized in the simulations

力学性质	砂浆基质	界面过渡区	骨料颗粒
弹性模量E/GPa	*31.9	#25.5	*70.0
泊松比ν	*0.2	#0.2	*0.2
剪胀角ψ/(°)	18	15	−
断裂能G_c/(J/m²)	50	30	−
抗压强度σ_c/MPa	*40.0	#29.6	−
抗拉强度σ_t/MPa	*3.0	#2.3	−
注：带“*”的数据在试验[30]中获取，带“#”的数据为重复试算参数，其他参数为默认值，断裂能值引用[32]。

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表 3 CFRP布力学参数

Table 3. Mechanical parameters of CFRP sheets

密度 ρ/(kg/m³)	弹性模量E/GPa	泊松比ν	抗拉强度σ_t/MPa	厚度t_f/mm
2000	235	0.3	3500	0.167

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表 4 梁模型命名及对应的几何参数和CFRP布配置情况

Table 4. The model name of the beam, the corresponding geometric parameters and the CFRP sheets configuration

试件名称	截面尺寸 b×h/mm	CFRP布层数 n/层	CFRP布总厚度 nt_f/mm	CFRP布宽度 W_f/mm	CFRP布宽厚比 W_f/nt_f	CFRP布间距 S_f/mm	CFRP配纤率 ρ_f/(%)
S-I	150 × 300	1	0.167	120	720	130	0.2
S-II		2	0.334	60	180
S-III		3	0.501	40	80
S-IV		6	1.002	20	20
M-I	300 × 600	2	0.334	240	720	260
M-II		4	0.668	120	180
M-III		6	1.002	80	80
M-IV		12	2.004	40	20
L-I	450 × 900	3	0.501	360	720	390
L-II		6	1.002	180	180
L-III		9	1.503	120	80
L-IV		18	3.006	60	20

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表 5 不同加固方案对应的V₀和D₀值

Table 5. Parameters of V₀ and D₀ under different CFRP reinforcement schemes

配纤率 ρ_f/(%)	加固方案	V₀	D₀
0.2	I	2.591	663.190
	II	2.543	676.411
	III	2.480	698.683
	IV	2.434	712.644

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参考文献(38)

[1]	吴刚, 安琳, 吕志涛. 碳纤维布用于钢筋混凝土梁抗剪加固的试验研究[J]. 建筑结构, 2000(7): 16 − 20, 51. doi: 10.19701/j.jzjg.2000.07.004 WU Gang, AN Lin, LYU Zhitao. Experimental Study on Shear Reinforcement of RC Beams with CFRP Sheets [J]. Building Structures, 2000(7): 16 − 20, 51. (in Chinese) doi: 10.19701/j.jzjg.2000.07.004
[2]	MACRO A, ANTONIO N. Parametric study of beams with externally bonded FRP reinforcement [J]. ACI Structural Journal, 1997, 94(5): 493 − 501.
[3]	金浏, 夏海, 蒋轩昂, 等. 剪跨比对CFRP加固无腹筋混凝土梁剪切破坏及尺寸效应的影响研究[J]. 工程力学, 2021(3): 50 − 59. doi: 10.6052/j.issn.1000-4750.2020.01.0028 JIN Liu, XIA Hai, JIANG Xuanang, et al. Effect of shear-span ratio on shear failure and size effect on concrete beams without web reinforcement strengthened by CFRP [J]. Engineering Mechanics, 2021(3): 50 − 59. (in Chinese) doi: 10.6052/j.issn.1000-4750.2020.01.0028
[4]	易伟建, 潘柏荣, 吕艳梅. HRB500级钢筋配箍的混凝土梁受剪性能试验研究[J]. 土木工程学报, 2012, 45(4): 56 − 62. YI Weijian, PAN Bairong, LYU Yanmei. Experimental study on the shear failure of reinforced concrete beams with grade HRB500 steel stirrups [J]. China Civil Engineering Journal, 2012, 45(4): 56 − 62. (in Chinese)
[5]	JIN L, XIA H, JIANG X A, et al. Size effect on shear failure of CFRP-strengthened concrete beams without web reinforcement: Meso-scale simulation and formulation [J]. Composite Structures, 2020, 236: 111895. doi: 10.1016/j.compstruct.2020.111895
[6]	朱宁. 玄武岩纤维布加固钢筋混凝土梁抗剪正交试验研究[D]. 合肥: 合肥工业大学, 2015. ZHU Ning. The orthogonal research on shear capacity of RC beams strengthened with BFRP sheets [D]. Hefei: Hefei University of Technology, 2015. (in Chinese)
[7]	崔小兵. 碳纤维布加固钢筋混凝土梁受剪性能试验研究[D]. 北京: 北京工业大学, 2001. CUI Xiaobing. Experimental research on shear behaviors for reinforced concrete beam strengthened with externally bonded carbon fiber sheet [D]. Beijing: Beijing University of Technology, 2001. (in Chinese)
[8]	王晶晶. 外贴U型CFRP箍位置对RC梁受剪加固效果影响的参数研究[D]. 西安: 长安大学, 2017. WANG Jingjing. The research of the influence parameters of external U-shaped CFRP hoop position on the effect of shear reinforcement on RC beams [D]. Xi’an: Chang’an University, 2017. (in Chinese)
[9]	金浏, 夏海, 蒋轩昂, 等. 基于三维细观分析方法的CFRP加固无腹筋混凝土梁剪切强度尺寸效应研究[J]. 建筑结构学报, 2019, 40(10): 93 − 102. JIN Liu, XIA Hai, JIANG Xuan’ang, et al. Study on size effect on shear strength of CFRP-strengthened concrete beams without web reinforcement based on 3D meso-scale analysis method [J]. Journal of Building Structures, 2019, 40(10): 93 − 102. (in Chinese)
[10]	赵彤, 谢剑, 戴自强. 碳纤维布提高钢筋混凝土梁受剪承载力试验研究[J]. 建筑结构, 2000(7): 21 − 25. ZHAO Tong, XIE Jian, DAI Ziqiang. Experimental research on improving the shear capacity of reinforced concrete beams with carbon fiber sheets [J]. Building Structures, 2000(7): 21 − 25. (in Chinese)
[11]	李扬, 高日, 安广明, 等. 碳纤维对混凝土梁抗剪加固的实验及理论研究[J]. 北方交通大学学报, 2003, 27(4): 57 − 61. LI Yang, GAO Ri, AN Guangming, et al. Experimental and Academic Research for RC Beam [J]. Journal of Northern Jiaotong University, 2003, 27(4): 57 − 61. (in Chinese)
[12]	BOUSSELHAM A, CHAALLAL O. Shear strengthening reinforced concrete beams with fiber-reinforced polymer: Assessment of influencing parameters and required research [J]. ACI Structural Journal, 2004, 101(2): 219 − 227.
[13]	QU Z, LU X Z, YE L P. Size Effect of shear contribution of externally bonded FRP U-jackets for RC beams [C]. Proceedings of International Symposium on Bond Behaviour of FRP in Structures (BBFS 2005), International Institute for FRP in Construction Hong Kong, 2015: 371 − 380.
[14]	GODAT A, QU Z, LU X Z, et al. Size Effects for Reinforced Concrete Beams Strengthened in Shear with CFRP Strips [J]. Journal of Composites for Construction, 2012, 14(3): 260 − 271.
[15]	黄泽峰, 李军. 小剪跨比作用下CFRP抗剪加固梁的尺寸效应[J]. 土木建筑与环境工程, 2016, 38(增刊 2): 6 − 12. HUANG Zefeng, LI Jun. Effect of beam size on behavior of RC deep beams strengthened in sheear with U-wrapping CFRP strips [J]. Civil Construction and Environmental Engineering, 2016, 38(Suppl 2): 6 − 12. (in Chinese)
[16]	ABDELHAK B, OMAR C. Experimental Investigation on the Influence of Size on the Performance of RC T-Beams Retrofitted in Shear with CFRP Fabrics [J]. Engineering Structures, 2013, 56: 1070 − 1079. doi: 10.1016/j.engstruct.2013.06.028
[17]	罗若帆. CFRP封闭缠绕抗剪加固小剪跨比RC梁尺寸效应试验研究[D]. 广州: 广东工业大学, 2015. LUO Ruofan. Experimental study on size effect of small shear span Ratio RC Beams strengthened with CFRP wraps [D]. Guangzhou: Guangdong University of Technology, 2015. (in Chinese)
[18]	LEUNG C K Y, CHEN Z F, LEE S, et al. Effect of Size on the Failure of Geometrically Similar Concrete Beams Strengthened in Shear with FRP Strips [J]. Journal of Composites for Construction, 2007, 11: 487 − 496. doi: 10.1061/(ASCE)1090-0268(2007)11:5(487)
[19]	杜修力, 金浏. 细观分析方法在混凝土物理/力学性质研究方面的应用[J]. 水利学报, 2016, 47(3): 355 − 371. doi: 10.13243/j.cnki.slxb.20151111 DU Xiuli, JIN Liu. Applications of meso-scale analysis methods on the study of the physical/mechanical properties of concrete [J]. Journal of Hydraulic Engineering, 2016, 47(3): 355 − 371. (in Chinese) doi: 10.13243/j.cnki.slxb.20151111
[20]	JIN L, YU W X, SU X, et al. Effect of cross-section size on the flexural failure behavior of RC cantilever beams under low cyclic and monotonic lateral loadings [J]. Engineering Structures, 2018, 156: 567 − 586. doi: 10.1016/j.engstruct.2017.11.069
[21]	DU X L, JIN L, MA G W. A meso-scale analysis method for the simulation of nonlinear damage and failure behavior of reinforced concrete members [J]. International Journal of Damage Mechanics, 2013, 22(6): 878 − 904. doi: 10.1177/1056789512468915
[22]	金浏, 蒋轩昂, 杜修力. 轻骨料无腹筋混凝土梁剪切破坏及尺寸效应: 细观模拟[J]. 工程力学, 2020, 37(7): 57 − 67. doi: 10.6052/j.issn.1000-4750.2019.05.0253 JIN Liu, JIANG Xuanang, DU Xiuli. Shear failure and size effect of lightweight aggregate concrete beams without web reinforcement: a meso-scale study [J]. Engineering Mechanics, 2020, 37(7): 57 − 67. (in Chinese) doi: 10.6052/j.issn.1000-4750.2019.05.0253
[23]	SONG Z, LU Y. Mesoscopic analysis of concrete under excessively high strain rate compression and implications on interpretation of test data [J]. International Journal of Impact Engineering, 2012, 46: 41 − 55. doi: 10.1016/j.ijimpeng.2012.01.010
[24]	UNGER J F, ECKARDT S. Multiscale modeling of concrete-from mesoscale to macroscale [J]. Archives of Computational Methods in Engineering, 2011, 18(3): 341 − 393. doi: 10.1007/s11831-011-9063-8
[25]	LUBLINER J, OLIVER J, OLLER S, et al. A plastic-damage model for concrete [J]. International Journal of Solids and Structures, 1989, 25: 299 − 326. doi: 10.1016/0020-7683(89)90050-4
[26]	JIN L, YU W X, DU X L, et al. Meso-scale modelling of the size effect on dynamic compressive failure of concrete under different strain rates [J]. International Journal of Impact Engineering, 2019, 125(3): 1 − 12.
[27]	GB 50010−2010, 混凝土结构设计规范[S]. 北京: 中国建筑工业出版社, 2010. GB 50010−2010, Code for Concrete Structure Design[S]. Beijing: China Building Industry Press, 2010. (in Chinese)
[28]	金浏, 王涛, 杜修力, 等. 钢筋混凝土悬臂梁剪切破坏及尺寸效应律研究[J]. 工程力学, 2020, 37(1): 53 − 62. doi: 10.6052/j.issn.1000-4750.2018.11.0596 JIN Liu, WANG Tao, DU Xiuli, et al. Size effect theory on shear failure of cantilever beams [J]. Engineering Mechanics, 2020, 37(1): 53 − 62. (in Chinese) doi: 10.6052/j.issn.1000-4750.2018.11.0596
[29]	CHEN G M, CHEN J F, TENG J G. On the finite element modelling of RC beams shear-strengthened with FRP [J]. Construction and Building Materials, 2012, 32(1): 13 − 26.
[30]	彭伟. 不同剪切破坏模式下考虑配箍率的CFRP加固梁的性能试验研究[D]. 深圳: 深圳大学, 2016. PENG Wei. Coupling effect of shear failure mode and steel stirrup ratio on shear behavior of RC beams externally bonded with CFRP strips [D]. Shenzhen: Shenzhen University, 2016. (in Chinese)
[31]	KIM S, ABU AL-RUB R K. Meso-scale computational modeling of the plastic-damage response of cementitious composites [J]. Cement and Concrete Research, 2011, 41(3): 339 − 358. doi: 10.1016/j.cemconres.2010.12.002
[32]	JIN L, YU W X, DU X L, et al. Mesoscopic numerical simulation of dynamic size effect on the splitting-tensile strength of concrete [J]. Engineering Fracture Mechanics, 2019, 209: 317 − 332. doi: 10.1016/j.engfracmech.2019.01.035
[33]	匡志平, 张健, 王皓波. 无腹筋梁的碳纤维抗剪加固分析[J]. 同济大学学报(自然科学版), 2003(7): 778 − 782. doi: 10.3321/j.issn:0253-374X.2003.07.005 KUANG Zhiping, ZHANG Jian, WANG Haobo. Analysis on beams without stirrups strengthened for shearing by using carbon fiber reinforced plastic [J]. Journal of Tongji University (Natural Science Edition), 2003(7): 778 − 782. (in Chinese) doi: 10.3321/j.issn:0253-374X.2003.07.005
[34]	PHAN-VU P, TRAN D T, PHAM T M, et al. Distinguished bond behavior of CFRP sheets in unbonded post-tensioned reinforced concrete beams versus single-lap shear tests [J]. Engineering Structures, 2021, 234: 111794. doi: 10.1016/j.engstruct.2020.111794
[35]	任海东, 黄承逵, 于建. 玻璃纤维布用于加固钢筋混凝土梁抗剪性能研究[J]. 混凝土, 2003(5): 35 − 37. doi: 10.3969/j.issn.1002-3550.2003.05.010 REN Haidong, HUANG Chengkui, YU Jian. A study on strengthening shear resistance of RC beams using GFRP sheets [J]. Concrete, 2003(5): 35 − 37. (in Chinese) doi: 10.3969/j.issn.1002-3550.2003.05.010
[36]	张越芳. 碳纤维布加固低强度等级混凝土梁抗剪性能研究[D]. 上海: 同济大学, 2006. ZHANG Yuefang. Shearing properties of low strength reinforced concrete beams strengthened with carbon fiber composite sheets [D]. Shanghai: Tongji University, 2006. (in Chinese)
[37]	GODAT A, LABOSSIERE P, NEALE K W. Numerical investigation of the parameters influencing the behaviour of FRP shear-strengthened beams [J]. Construction Build Mater, 2012, 32: 90 − 98. doi: 10.1016/j.conbuildmat.2010.11.110
[38]	BAŽANT Z P. Size effect in blunt fracture: concrete, rock, metal [J]. Journal of Engineering Mechanics, 1984, 110(4): 518 − 535. doi: 10.1061/(ASCE)0733-9399(1984)110:4(518)

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CFRP布加固方案对RC梁剪切性能及尺寸效应影响分析

doi: 10.6052/j.issn.1000-4750.2021.07.0558

通讯作者:
杜修力(1962−)，男，四川广安人，中国工程院院士，博士，博导，主要从事地震工程领域研究(E-mail: duxiuli@bjut.edu.cn)

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ANALYSIS OF THE INFLUENCE OF CFRP SHEETS REINFORCEMENT SCHEME ON SHEAR PERFORMANCE AND SIZE EFFECT OF RC BEAMS

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CFRP布加固方案对RC梁剪切性能及尺寸效应影响分析

doi: 10.6052/j.issn.1000-4750.2021.07.0558

通讯作者: 杜修力(1962−)，男，四川广安人，中国工程院院士，博士，博导，主要从事地震工程领域研究(E-mail: duxiuli@bjut.edu.cn)

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ANALYSIS OF THE INFLUENCE OF CFRP SHEETS REINFORCEMENT SCHEME ON SHEAR PERFORMANCE AND SIZE EFFECT OF RC BEAMS

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通讯作者:
杜修力(1962−)，男，四川广安人，中国工程院院士，博士，博导，主要从事地震工程领域研究(E-mail: duxiuli@bjut.edu.cn)