| CFRP修复缺陷钢板应力解析模型 |
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| 引用本文： | 周道成,常利晨.CFRP修复缺陷钢板应力解析模型[J].应用数学和力学,2021,42(12):1276-1286. |
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| 作者姓名： | 周道成 常利晨 |
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| 作者单位： | 1.大连理工大学 海岸和近海工程国家重点实验室, 辽宁 大连 116024 |
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| 摘 要： | 在使用碳纤维复合材料(carbon fiber reinforced polymer， CFRP)修复钢结构腐蚀缺陷的修复方式中，CFRP应力及胶层应力是确定碳纤维修复结构承载能力的关键。基于平截面假设，得到弯矩作用下应力与应变分布；基于胶层剪切模型，得到胶层剪应力与CFRP和钢板位移间的关系；基于力的平衡，得到CFRP和钢板的应力关系。结合得到的各种材料之间关系，推导出轴力和弯矩联合作用状态下CFRP双面修复钢板的CFRP与胶层应力分布解析解。采用数值分析对CFRP双侧粘贴修复缺陷钢板进行分析，分析结果与解析结果具有一致性，同时获得了CFRP双侧粘贴修复缺陷钢板的应力分布特点，以及构件可能发生破坏的位置，为计算构件极限承载力提供了基础。
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| 关 键 词： | 钢板 CFRP 解析解 缺陷 应力 |
| 收稿时间： | 2021-01-06 |
A Stress Analysis Model for CFRP Repaired Defective Steel Plates |
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| Affiliation: | 1.State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China2.Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China |
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| Abstract: | 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. |
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