Calculation method for shear bearing capacity of CFRP-strengthened shear wall considering shear span ratio and CFRP ratio
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摘要:
钢筋混凝土剪力墙作为一种抗侧力构件，在高层建筑中发挥重要抗震作用，并且随着我国城镇化建设的快速发展，钢筋混凝土剪力墙得到了广泛应用。但是，剪力墙在服役期内会由于抗剪配筋不足、结构老化或遭受外部荷载等原因，使得剪力墙无法满足建筑结构的抗侧力需求，需要对其进行抗剪加固。而相较于传统的粘钢加固、增大截面及注浆加固等方法，外贴纤维增强复合材料(FRP)加固因其具有施工方便、高强高效和耐久耐腐等优点，被认为是加固现有钢筋混凝土结构的一种改进方式。本文为研究外贴CFRP加固钢筋混凝土剪力墙的抗剪性能及作用机制，通过数值模拟方法，建立了可以反映出CFRP材料损伤及CFRP-混凝土界面剥离的CFRP加固剪力墙三维数值模型，讨论了不同剪跨比、配纤率及加固方式下CFRP加固钢筋混凝土剪力墙的抗剪性能及作用机制。基于模拟结果，提取出CFRP的抗剪贡献，与美国ACI规范预测结果进行对比分析，发现CFRP的抗剪贡献随着剪跨比的增大而急剧降低，且CFRP抗剪贡献并不是随着加固层数的增大而线性增长。鉴于此，结合美国ACI规范的公式形式，提出了剪跨比及加固层数影响系数，建立了CFRP抗剪贡献建议计算公式。最后，通过与FRP加固剪力墙试验数据的对比，发现建议公式可以更为准确合理的反映剪跨比、加固方式及配纤率对CFRP抗剪贡献的影响规律，美国ACI规范预测值与试验结果的平均绝对误差为54%，而建议公式预测值与试验结果的平均绝对误差为8%，验证了建议计算方法的有效性。 不同加固方式下ACI规范及本文建议公式预测CFRP抗剪贡献与模拟结果对比 Abstract: To explore the shear performance and the corresponding mechanisms of Carbon Fiber Reinforced Polymer (CFRP) strengthened Reinforced Concrete (RC) shear walls, a three-dimensional numerical model based on the Hashin damage criteria that captures the CFRP-concrete interface debonding behaviors was developed. Using the proposed model, the influences of shear span ratio, CFRP ratio and wrapping method on the shear capacities of the CFRP-strengthened RC shear wall were investigated. It is found that: (1) the external CFRP strips effectively mitigate the development of the shear primary cracks; (2) the increasing shear span ratio reduces significantly the shear contribution provided by CFRP strips on the CFRP-strengthened RC shear walls; (3) the shear contribution of CFRP is not linearly dependent on the number of CFRP layers. From qualitative to quantification analysis, the influence coefficient of shear span ratio and CFRP layer was introduced based on the numerical calculations. Furthermore, writing in the form of the American Code (ACI 440.2R-17), a calculation formula characterizing the shear contribution of CFRP was established. By comparing with the experimental data, it is noticed that the proposed formula gives more accurate descriptions on the influence of shear span ratio, CFRP ratio and wrapping method on the shear contribution of CFRP. The average absolute error between the prediction results and the experimental results is 8.0%, thus, verifying the effectiveness of the proposed calculation method.-
Key words:
- RC shear wall /
- CFRP-strengthened /
- shear performance /
- shear span ratio /
- shear contribution
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图 6 CFRP加固RC剪力墙荷载-位移曲线
Figure 6. Load-displacement curves of CFRP-strengthened shear walls
图 11 本文建议公式预测的CFRP加固剪力墙中CFRP抗剪贡献与模拟结果对比
Figure 11. Comparison of CFRP shear contribution in CFRP-strengthened shear walls predicted by the proposed formula with simulation results
表 1 Altin[32]及Woods[21]试验中CFRP材料力学参数
Table 1. Mechanical parameters of the CFRP material in Altin[32] and Woods[21]
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表 2 CFRP材料及CFRP-混凝土界面力学参数
Table 2. Mechanical parameters of the CFRP material and CFRP-concrete interface CFRP material
CFRP
materialParameter
value/MPaCFRP
interfaceParameter
value/MPa$ {\text{X}}^{\text{T}} $ 350.00 $ {\text{t}}_{\text{n}}^{\text{0}} $ 0.31 $ {\text{X}}^{\text{C}} $ 300.00 $ {\text{t}}_{\text{s}}^{\text{0}} $ 0.48 $ {\text{Y}}^{\text{T}} $ 1.50 $ {\text{t}}_{\text{t}}^{\text{0}} $ 0.48 $ {\text{Y}}^{\text{C}} $ 50.00 $ {\text{G}}_{\text{n}} $ 100.00 $ {\text{S}}^{\text{T}} $ 40.00 $ {\text{G}}_{\text{s}} $ 125.00 $ {\text{S}}^{\text{L}} $ 10.00 $ {\text{G}}_{\text{t}} $ 125.00 Notes: $ {\text{X}}^{\text{T}} $, $ {\text{X}}^{\text{C}} $, $ {\text{Y}}^{\text{T}} $ and $ {\text{Y}}^{\text{C}} $ are the longitudinal tensile strength, longitudinal compressive strength, transverse tensile strength and transverse compressive strength; $ {\text{S}}^{\text{T}} $ and $ {\text{S}}^{\text{L}} $ are the transverse and longitudinal shear strength; $ {\text{t}}_{\text{n}}^{\text{0}} $, $ {\text{t}}_{\text{s}}^{\text{0}} $ and $ {\text{t}}_{\text{t}}^{\text{0}} $ represent the peak values of the contact stress component in the normal (n), the first (s) and the second (t) direction; $ {\text{G}}_{\text{n}} $, $ {\text{G}}_{\text{s}} $ and $ {\text{G}}_{\text{t}} $ refer to the work done by the traction and its conjugate displacement in the normal, the first, and the second shear directions, respectively.
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表 3 试验数据库具体细节参数及FRP抗剪贡献
Table 3. Detailed parameters and FRP shear contribution of the test database
Reference FRP wrapping method
and layerShear
span ratioStructure size
H×L×D/mmExperimental
result/kNACI[22]
result/kNProposed formula
result/kNShen[15] Fully 2.0 layer 1.60 1600×1000×120 34.10 77.24 62.20 Antoniades[36] Fully 1.0 layer 1.00 1200×1200×100 63.40 120.38 64.63 Antoniades[37] Fully 1.0 layer 1.50 1800×1200×100 48.40 120.38 48.15 Woods[21] Two-sides 3.0 layer 1.20 1800×1500×100 292.00 619.34 322.06 Woods[21] Two-sides 3.0 layer 0.85 1800×2100×140 490.00 1213.91 595.38 Woods[35] Two-sides 3.0 layer 0.65 1800×2750×180 980.00 1513.95 896.26 El-Sokkary[14] Horizontal 1.0 layer 0.87 1045×1200×80 47.00 200.93 51.07 Shen[15] Horizontal 2.0 layer 1.60 1600×1000×120 42.20 67.10 44.76 Altin[32] Horizontal 1.0 layer 1.50 1500×1000×100 100.00 57.12 90.48
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