Citation: | ZHOU Daocheng, CHANG Lichen. A Stress Analysis Model for CFRP Repaired Defective Steel Plates[J]. Applied Mathematics and Mechanics, 2021, 42(12): 1276-1286. doi: 10.21656/1000-0887.420006 |
In the repairing method with CFRP for steel structures with corrosion defects, the stresses of CFRP and adhesive layers are key to determine the bearing capacity of CFRP repaired structures. Based on the assumption of plane sections, the distributions of stresses and strains under bending moments were obtained; based on the adhesive shear model, the relationship between the adhesive shear stress and the displacements of the CFRP as well as the steel plate was obtained; based on the force balance, the stress relationship of the CFRP and the steel plate was obtained. Combined with the relationships between various materials, the analytical stress distribution solutions of the CFRP and the adhesive layer under the combined action of the axial force and the bending moment were derived. Numerical analysis was also conducted to calculate the defective steel plate repaired with CFRP bonded on both sides, and the results are consistent with the analytical ones. The stress distribution characteristics of the defective steel plate with CFRP bonded on both sides and the possible failure position of the component were obtained, which provides a basis for calculation of the ultimate bearing capacity of the component.
[1] |
王振. 装配式钢结构建筑维护体系发展现状[J]. 砖瓦, 2016, 341(5): 47-49. (WANG Zhen. Development status of prefabricated steel structure wall system[J]. Brick-Tile, 2016, 341(5): 47-49.(in Chinese) doi: 10.3969/j.issn.1001-6945.2016.05.012
|
[2] |
潘正琪, 傅赟炜, 曹峰, 等. 建筑钢结构防腐技术综述[J]. 工程建设与设计, 2011(2): 67-68. (PAN Zhengqi, FU Yunwei, CAO Feng, et al. Building steel corrosion protection[J]. Construction & Design for Project, 2011(2): 67-68.(in Chinese) doi: 10.3969/j.issn.1007-9467.2011.02.018
|
[3] |
陈超. FRP在土木工程中应用的新进展[J]. 黑龙江科技信息, 2011(11): 283-284. (CHEN Chao. New progress of FRP application in civil engineering[J]. Heilongjiang Science and Technology Information, 2011(11): 283-284.(in Chinese)
|
[4] |
BAKER A, ROSE L R F. Advances in the Bonded Composite Repair of Metallic Aircraft Structure[M]. Elsevier, 2002.
|
[5] |
彭福明, 张晓欣, 岳清瑞, 等. FRP加固金属拉伸构件的性能分析[J]. 工程力学, 2007, 24(3): 137, 189-192. (PENG Fuming, ZHANG Xiaoxin, YUE Qingrui, et al. Performance analysis of tensile metallic members strengthened with FRP[J]. Engineering Mechanics, 2007, 24(3): 137, 189-192.(in Chinese) doi: 10.3969/j.issn.1000-4750.2007.03.032
|
[6] |
郭凯特, 谢宗蕻, 李想, 等. 复合材料双面贴补修理拉伸解析分析模型及试验验证[J]. 复合材料学报, 2017, 34(10): 2194-2204. (GUO Kaite, XIE Zonghong, LI Xiang, et al. An analytical model and its validation for a composite double lap joints under unidirectional tension[J]. Acta Materiae Compositae Sinica, 2017, 34(10): 2194-2204.(in Chinese)
|
[7] |
BOCCIARELLI M, COLOMBI P, FAVA G, et al. Prediction of debonding strength of tensile steel/CFRP joints using fracture mechanics and stress based criteria[J]. Engineering Fracture Mechanics, 2008, 76(2): 299-313.
|
[8] |
刘敏. 碳纤维增强复合材料加固钢结构的黏结界面应力分析[J]. 公路, 2013, 58(11): 201-203. (LIU Min. Analysis of bonding interface stress of steel structure strengthened with CFRP[J]. Highway, 2013, 58(11): 201-203.(in Chinese) doi: 10.3969/j.issn.0451-0712.2013.11.043
|
[9] |
张术宽. FRP加固含缺陷钢结构的破坏力学分析[D]. 博士学位论文. 广州: 华南理工大学, 2013
ZHANG Shukuan. Failure mechanical analyses of cracked steel structures strengthened with FRP[D]. PhD Thesis. Guangzhou: South China University of Technology, 2013. (in Chinese)
|
[10] |
DENG J, LEE M M K, MOY S S J. Stress analysis of steel beams reinforced with a bonded CFRP plate[J]. Composite Structures, 2003, 65(2): 205-215.
|
[11] |
BENACHOUR A, BENYOUCEF S, TOUNSI A, et al. Interfacial stress analysis of steel beams reinforced with bonded prestressed FRP plate[J]. Engineering Structures, 2008, 30(11): 3305-3315. doi: 10.1016/j.engstruct.2008.05.007
|
[12] |
苏维国, 穆志韬, 朱做涛, 等. 金属裂纹板复合材料单面胶接修补结构应力分析[J]. 复合材料学报, 2014, 31(3): 772-780. (SU Weiguo, MU Zhitao, ZHU Zuotao, et al. Stress analysis of one-sided adhesively bonded composite repair of cracked metallic plate[J]. Acta Materiae Compositae Sinica, 2014, 31(3): 772-780.(in Chinese)
|
[13] |
FAWZIA S, AL-MAHAIDI R, ZHAO X L. Experimental and finite element analysis of a double strap joint between steel plates and normal modulus CFRP[J]. Composite Structures, 2006, 75(1/4): 156-162.
|
[14] |
SUNDARRAJA M C, SRIRAM P, GANESH PRABHU G, et al. Strengthening of hollow square sections under compression using FRP composites[J]. Advances in Materials Science and Engineering, 2014, 2014: 396597. doi: 10.1155/2014/396597
|
[15] |
黎文婧, 黄辉, 贾彬, 等. 碳纤维布-钢界面黏结性能试验研究[J]. 工业建筑, 2019, 49(3): 24-28, 91. (LI Wenjing, HUANG Hui, JIA Bin, et al. Research on the bond behavior of CFRP-steel interface[J]. Industrial Construction, 2019, 49(3): 24-28, 91.(in Chinese)
|
[16] |
龚美琦, 张春涛, 王汝恒. 碳纤维布加固腐蚀钢材力学性能试验研究[J]. 重庆理工大学学报(自然科学), 2021, 35(3): 106-111. (GONG Meiqi, ZHANG Chuntao, WANG Ruheng. Experimental study on mechanical properties of corroded steel strengthened with CFRP[J]. Journal of Chongqing University of Technology(Natural Science)
|
[17] |
张盼, 许英杰, 汪海滨, 等. 基于粘弹性本构模型的双搭接胶结接头应力分析[J]. 应用数学和力学, 2015, 36(2): 159-166. (ZHANG Pan, XU Yingjie, WANG Haibin, et al. Stress analyses of double lap bonding joint using viscoelastic constitutive model[J]. Applied Mathematics and Mechanics, 2015, 36(2): 159-166.(in Chinese) doi: 10.3879/j.issn.1000-0887.2015.02.005
|
[18] |
GARCÍA J A, CHIMINELLI A, GARCÍA B, et al. Characterization and material model definition of toughened adhesives for finite element analysis[J]. International Journal of Adhesion and Adhesives, 2010, 31(4): 182-192.
|
[19] |
HESHMATI M, HAGHANI R, AL-EMRANI M, et al. On the strength prediction of adhesively bonded FRP-steel joints using cohesive zone modelling[J]. Theoretical and Applied Fracture Mechanics, 2018, 93: 64-78. doi: 10.1016/j.tafmec.2017.06.022
|
[20] |
吴妙生, 周祝林. 树脂基复合材料粘接的优化设计[J]. 应用数学和力学, 1997, 18(11): 1021-1025. (WU Miaosheng, ZHOU Zhulin. Optimum design of adhesive bonding of resin-base composites[J]. Applied Mathematics and Mechanics, 1997, 18(11): 1021-1025.(in Chinese)
|
[21] |
万云, 王振清, 周利民, 等. 表面机械研磨(SMAT)技术对玻璃纤维增强铝金属层板(GLARE)拉伸性能的影响[J]. 应用数学和力学, 2014, 35(10): 1107-1114. (WAN Yun, WANG Zhenqing, ZHOU Limin, et al. Effect of surface mechanical attrition treatment (SMAT) on the tensile performance of fibre reinforced aluminium laminates[J]. Applied Mathematics and Mechanics, 2014, 35(10): 1107-1114.(in Chinese) doi: 10.3879/j.issn.1000-0887.2014.10.005
|
[22] |
许明阳, 殷晨波, 陈曦. 碳纤维布胶接修复含裂纹钢管仿真分析[J]. 现代制造工程, 2021(1): 142-146. (XU Mingyang, YIN Chenbo, CHEN Xi. Simulation analysis of steel tube with crack after CFRP bonded repair[J]. Modern Manufacturing Engineering, 2021(1): 142-146.(in Chinese)
|