Unified strength model based on Griffith failure criterion for FRP-confined undamaged and damaged concrete
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摘要: 纤维增强聚合物复合材料(FRP)约束混凝土的抗压强度是进行FRP加固混凝结构设计的重要参数。现有的FRP约束混凝土柱抗压强度模型大部分采用试验数据回归分析获得,只有极少数模型基于理论推导建立,因此有必要对基于理论推导建立的抗压强度模型进行扩展。本文通过对现有的FRP约束混凝土柱的抗压强度模型进行归纳和总结,并采用已发表文献的大量试验数据对其进行评估。然后基于Griffith破坏准则,提出一个可以同时预测FRP约束未损伤混凝土和损伤混凝土抗压强度统一模型并进行评估。评估结果表明,新建立的抗压强度模型可以较准确地预测FRP约束未损伤混凝土和损伤混凝土的抗压强度。Abstract: The compressive strength of fiber reinforced polymer(FRP) confined concrete is an important parameter in the design of FRP strengthen concrete structure. Most existing compressive strength models of FRP-confined concrete column were obtained by regression analysis of experimental data, and only few models were established based on theoretical derivation method. Therefore, it is necessary to expand the compressive strength model, which is established based on theoretical derivation. In this paper, the existing models of compressive strength of FRP-confined concrete columns were summarized and evaluated with a large number of published experimental data. Then based on the Griffith failure criterion, a unified model that could predict the compressive strength of both FRP-confined undamaged and damaged concrete was proposed and evaluated. The evaluation results show that the new compressive strength model can accurately predict the compressive strength of FRP-confined undamaged and damaged concrete.
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表 1 典型的FRP约束混凝土柱抗压强度模型和评估结果
Table 1. Typical strength model of FRP-confined concrete and its evaluation results
Strength model Equation for fcc/fco A E Matthys et al.[15] $1 + 2.3{\left( {{{{f_{\rm{l}}}} / {{f_{{\rm{co}}}}}}} \right)^{0.85}}$ 1.080 0.168 Mirmiran et al.[16] $1 + 4.269\left( {{{f_{\rm{l}}^{0.587}} / {{f_{{\rm{co}}}}}}} \right)$ 0.840 0.319 Kumutha et al.[17] $1 + 0.93\left( {{{{f_{\rm{l}}}} / {{f_{{\rm{co}}}}}}} \right)$ 0.768 0.359 Karabinis et al.[20] $1 + 2.1{\left( {{{{f_{\rm{l}}}} / {{f_{{\rm{co}}}}}}} \right)^{0.87}}$ 1.029 0.181 Lam et al.[21] $1 + 3.3\left( {{{{f_{\rm{l}}}} / {{f_{{\rm{co}}}}}}} \right)$ 0.978 0.173 Spoelstra et al.[24] $0.2 + 3.0{\left( {{{{f_{\rm{l}}}} / {{f_{{\rm{co}}}}}}} \right)^{0.5}}$ 1.024 0.188 Fardis et al.[19] $1 + 4.1\left( {{{{f_{\rm{l}}}} / {{f_{{\rm{co}}}}}}} \right)$ 1.348 0.328 Samaan et al.[22] $1 + 6.0\left( {{{f_{\rm{l}}^{0.7}} / {{f_{{\rm{co}}}}}}} \right)$ 1.064 0.170 Campione et al.[18] $1 + 2.0\left( {{{{f_{\rm{l}}}} / {{f_{{\rm{co}}}}}}} \right)$ 0.964 0.183 Shehata et al.[23] $1 + 1.25\left( {{{{f_{\rm{l}}}} / {{f_{{\rm{co}}}}}}} \right)$ 0.826 0.301 Youssef et al.[25] $1 + 2.25{\left( {{{{f_{\rm{l}}}} / {{f_{{\rm{co}}}}}}} \right)^{1.25}}$ 0.937 0.157 Wu et al.[14] $1 + 2.2{\left( {{{{f_{\rm{l}}}} / {{f_{{\rm{co}}}}}}} \right)^{0.94}}$ 1.022 0.164 Wu et al.[11] $1 + 3.96{\left( {{{{f_{\rm{l}}}} / {{f_{{\rm{co}}}}}}} \right)^{1.13}}$ 1.250 0.264 Wang[27] $1 + 3.2\left( {{{{f_{\rm{l}}}} / {{f_{{\rm{co}}}}}}} \right)$ 1.184 0.157 Notes: fcc—FRP-confined compressive strength; fco—Strength of concrete; fl—Confinement pressure of FRP; A, E—Calculated by eq.(6) and eq.(7), respectively. 表 2 FRP约束未损伤混凝土柱的数据
Table 2. Database of FRP-confined concrete columns
Reference D/mm FRP type EFRP/GPa tFRP/mm fco/MPa Almusallam[33] 150 GFRP 27 1.3–3.9 48–108 Cui[34] 152 GFRP, CFRP 22, 85–436 1.25–5, 0.111–3 46–112 Karabinis et al.[10] 200 CFRP 240 0.117~0.351 35–40 Lam et al.[35] 152 CFRP, GFRP 25, 922 0.165–0.495, 1.24–2.54 34–39 Akogbe et al.[36] 100–300 CFRP 242 0.167~0.501 21–28 Wu et al.[37] 150 CFRP 242 0.167~0.835 21–37 Guo et al.[9] 150 CFRP 219 0.167~0.501 46–70 Notes: D—Diameter of circular column; EFRP—Elastic modulus of FRP; tFRP—Thickness of FRP. 表 3 FRP约束损伤混凝土柱的数据
Table 3. Database of FRP-confined damaged concrete columns
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