Low-velocity impact resistance of carbon fiber reinforced polymer composite and its cables: A review
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摘要: 碳纤维增强树脂基复合材料(Carbon fiber reinforced polymer composite,CFRP)拉索具有轻质高强特性和优异的耐腐蚀疲劳性能,可替代钢拉索应用于桥梁结构中以应对桥梁更大跨度、更恶劣服役环境的需求。然而,CFRP拉索较差的抗低速冲击性能导致其在服役期间面临车辆、落石等撞击的威胁。为全面了解CFRP的抗冲击性能,促进CFRP拉索在工程结构中的应用,本文对CFRP及其拉索的基础动态力学性能、冲击响应及损伤失效研究现状进行了总结。现有研究表明:CFRP具有应变率敏感性,但CFRP的应变率效应尚不明确,需建立包含全应变率范围的力学性能数据库;CFRP层合板抗冲击性能研究较为全面,然而截面形式差异、较大的长细比、轴向应力耦合等因素导致CFRP层合板的研究结论不能完全适用于CFRP拉索;现有研究停留在冲击能量、锚固长度及温度对小吨位CFRP拉索抗冲击性能的影响,缺乏对大吨位CFRP拉索抗冲击性能及损伤失效机制的研究;CFRP拉索在车辆撞击下破断时的峰值索力远低于其轴向拉伸破断力,应对拉索进行严格的防撞设计。Abstract: Carbon fiber reinforced polymer composite (CFRP) cables can replace steel cables due to their lightweight, high strength, and excellent corrosion and fatigue resistance to meet the needs of larger spans and harsher service environments for bridges. However, the poor resistance of the low-speed impact of CFRP cable makes it threatened by the impact from vehicles and falling rocks during its service life. In order to fully understand the impact performance of CFRP and promote the application of CFRP cables in engineering structures, this paper summarized the impact research status of CFRP and its cables, including the basic dynamic mechanical properties, impact response, and damage failure mechanism. The results show that CFRP has strain rate sensitivity, but the strain rate effect of CFRP is still unclear, and a mechanical property database covering the full strain rate range needs to be established. The research on the impact resistance of CFRP laminates is relatively comprehensive. However, the differences in cross-section form, large slenderness ratio, axial stress coupling, and other factors make the research conclusion of CFRP laminates not fully applicable to CFRP cables. Furthermore, current research mainly discusses the influence of impact energy, anchorage length, and temperature on the impact resistance of small tonnage CFRP cables, but the research on the impact resistance and damage failure mechanism of large tonnage CFRP cables is rarely reported. When the CFRP cable breaks under the impact of the vehicle, the peak force is much lower than its axial tensile braking force, and a strict anti-collision design should be carried out for the CFRP cable.
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图 6 冲击荷载作用下纤维增强树脂基复合材料吸收能量-时间曲线: (a) 试样未穿孔;(b) 试样穿孔[36]
Figure 6. Energy absorption-time curves of fiber reinforced polymer composites under impact load: (a) Unpenetrated specimens; (b) Penetrated specimens[36]
Cases 13 and 17—Specimens undergoing partial perforation and complete perforation, respectively
表 1 纤维增强树脂基复合材料宏观唯象动态本构模型
Table 1. Macroscopic phenomenological dynamic constitutive model of fiber reinforced polymer composites
Number Dynamic constitutive model Instructions Reference 1 $\sigma = {\sigma _{\rm{s}}} + {\sigma _{\rm{d}}}$
${\sigma _{\rm{d}}} = {q_0}\varepsilon + {q_{\rm{l}}}{\varepsilon ^n}{(\mathop \varepsilon \limits^. )^p}$σ—Stress; ${\sigma _{\rm{s}}}$—Static stress; ${\sigma _{\rm{d}}}$—Dynamic stress; q0—Stiffness modulus; n, p and ql are chosen to adequately describe the shape of the experimentally obtained stress-strain curves. Tay et al[28],
Shokrieh et al[29]2 $\sigma = E\varepsilon (1 - D){({ { {\mathop \varepsilon \limits^. } \mathord{\left/ {\vphantom { {\mathop \varepsilon \limits^. } {\mathop \varepsilon \limits^. } } } \right. } {\dot\varepsilon_0 } } })^m}$
$D = 1 - \exp \left[ { - \dfrac{1}{ {n{\rm{e}}} }{\left( {\dfrac{ {E\varepsilon } }{Y} } \right)^n} } \right]$D—Damage variable; m—Strain rate coefficient; E—Modulus; n—Shape parameter; Y—Yield strength. Xu et al[30] 3 $\sigma = (A + B{\varepsilon ^n})(1 + C\ln { \dot \varepsilon ^*})(1 - {T^{*m} })$
$\mathop \varepsilon \limits^. = \dfrac{ {\dot \varepsilon ^{*} } }{ {\mathop { {\varepsilon _0} }\limits^. } },{T^*} = \dfrac{ {T - {T_{\rm{r}}} } }{ { {T_{\rm {melt}} } - {T_{\rm{r}}} } }$m—Temperature softening index; Tmelt—Melting temperature of the material; Tr—Reference temperature; A, B, C, n—Constants; T—Test temperature. Han et al[31] 4 $\sigma _i^{{\rm{st}}} = {\sigma _i} {\rm{DIF}}$
${\rm{DIF}} = \left\{ { \bigg[\tanh ((\lg ({ {\mathop \varepsilon \limits^. } \mathord{\left/ {\vphantom { {\mathop \varepsilon \limits^. } {\mathop { {\varepsilon _0} }\limits^. } } } \right. } {\mathop { {\varepsilon _0} }\limits^. } }) - A) B)\bigg] \left[ {\dfrac{C}{ {(C + 1)/2} } - 1} \right] + 1} \right\} \dfrac{ {C + 1} }{2}$Considering the dynamic enhancement effect. The dynamic enhancement factor is directly introduced. Zhang[27] 5 ${\sigma _{\rm{d} } } = {\sigma _{\rm{s} } }({\varphi _\sigma }{\lg _{} }\mathop \varepsilon \limits^. + {\beta _\sigma })$ Al-Zubaidy et al[20] 6 ${\eta _{ {\rm{DIF} } } } = \left\{ {\begin{array}{*{20}{c} } {1 + A\lg ({ {\mathop \varepsilon \limits^. } \mathord{\left/ {\vphantom { {\mathop \varepsilon \limits^. } {\mathop { {\varepsilon _0})}\limits^. } } } \right. } {\mathop { {\varepsilon _0})}\limits^. } } } \\ 1 \end{array} } \right.$ Fang[32] 7 $\sigma = {E_{\rm{l}}}\varepsilon + \alpha {\varepsilon ^2} + \beta {\varepsilon ^3} + E\theta \mathop \varepsilon \limits^. \left[ {1 - \exp \left( { - \dfrac{\varepsilon }{ {\theta \mathop \varepsilon \limits^. } }} \right)} \right]$
Viscoelastic constitutive model (consisting of nonlinear spring elements connected in parallel with Maxwell originals). El, α, β—Elastic parameters for the spring; θ, E—Elastic parameter and relaxation time for the Maxwell element.Zhao et al[33] 8 $\sigma (t) = {E_0}\varepsilon (t) + \mathop \varepsilon \limits^. \displaystyle \sum\limits_{k = 1}^N { {\eta _k} } \left[ {1 - \exp \left( { - \dfrac{ {\varepsilon (t)} }{ {\mathop {\varepsilon {\dot\tau^* _k}} } } } \right)} \right]$ A linear elastic element in parallel with multiple Maxwell bodies; ηk—Viscous coefficients. Karim et al[34] 9 $\sigma (\varepsilon ) = {E_{\rm{e}}} + {E_1}{\theta _1}\mathop { {\varepsilon _0} }\limits^. \left( {1 - {{\rm{e}}^{ - \tfrac{\varepsilon }{ {\mathop { {\dot\varepsilon _0}{\theta _1} } } } } }} \right) + {E_2}{\theta _2}\mathop { {\varepsilon _0} }\limits^. \left( {1 - {{\rm{e}}^{ - \tfrac{\varepsilon }{ {\mathop { {\dot\varepsilon _0}{\theta _2} } } } } }} \right)$ Bridging model of fiber and matrix; E1 and E2—Viscoelastic spring constant modulus; Ee—Equilibrium elastic modulus; θ1, θ2—Characteristic relaxation times. Liu[35] Notes: $\varepsilon $—Strain; $\mathop \varepsilon \limits^. $—Strain rate; $\dot\varepsilon_0 $—Reference strain rate; ηDIF—Dynamic increase factor; ${ { {\dot\tau _k}^* } }$—Shear strength; φσ, βσ—Constant. 表 2 相应物质命名
Table 2. Naming of the corresponding substance
Sample Anchor length/
mmPretension/
kNDrop height/
mmC1-L150-P40-H1000 150 40 1 000 C3-L250-P40-H600 250 40 600 C8-L250-P40-H200 250 40 200 C2-L250-P20-H600 250 20 600 C4-L250-P50-H600 250 50 600 C6-L150-P40-H200 150 40 200 C7-L200-P40-H200 200 40 200 -
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