Formation mechanism of multi-plastic regions in concrete flexural members with graded GFRP bars
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摘要: 为提高混凝土受弯构件的抗震性能,采用玻璃纤维增强树脂复合材料(Glass fiber reinforced plastic,GFRP)筋和钢筋梯级配置的方案,构建同外力分布相适配的承载能力梯级分布,以形成多塑性区。本文设计了5个具有不同梯级配筋参数的混凝土受弯试件,对比参数包括梯级高度、配筋种类、配筋量和配筋方式等,通过推覆(Pushover)试验对比分析各试件中多塑性区的产生情况和力学效果,研究多塑性区的形成机制。结果表明:合理的梯级配筋方案可以在混凝土受弯构件中形成多个塑性区,塑性区的个数和发展程度会显著影响构件的抗震行为。多塑性区形成的决定条件是构件中多个梯级段所受外弯矩介于其屈服弯矩与极限弯矩之间。通过调整梯级段长度与配筋参数,可有效地调控各塑性区的发展程度及构件的破坏位置和破坏模式。线弹性的GFRP筋为截面提供了较大的抗弯承载力屈服后增量,是多塑性区形成和调控的关键。Abstract: In order to enhance the seismic capacity of concrete flexural members, a graded reinforcement scheme with the glass fiber reinforced plastic (GFRP) bars and the steel bars was developed to make a graded distribution of bearing capacity that matches the external force distribution, and then multiple-plastic regions were formed. Five concrete flexural members with different graded reinforcement parameters were designed, and the comparison parameters included the height of the grades, the type of bars, the reinforcement ratios and the construction methods. Through the pushover experiment, the formation and mechanical effects of multi-plastic regions were studied, and the formation mechanism of multi-plastic regions was analyzed in details. The results show that the reasonable graded reinforcement scheme can form multi-plastic regions in the concrete flexural member. The number and development degree of plastic regions significantly affect the seismic behaviours of members. The formation condition of the multi-plastic regions is that the external moment is between the sectional yield moment and ultimate moment in several grades. The development level of each plastic region can be effectively controlled by adjusting the length and reinforcement of the grades, and the failure position and failure mode of the member can be designed. A great increment provided by GFRP bars with line elasticity properties on the bending bearing capacity after yielding is a key factor for the formation and regulation of multi-plastic regions.
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图 8 梯级GFRP筋混凝土受弯试件截面的弯矩-应变关系
Figure 8. Bending moment-strain relationship of sections of concrete flexural specimens with graded GFRP bars
Li—Bending moment-strain relationship of sections in different reinforcement conditions; L1—FRP bars; L2—FRP bars and steel bars; L3—Steel bars; My, $M_{\rm{u}}^i $—Yield and ultimate moment, respectively; εy, εu—Yield and ultimate strain, respectively
表 1 各试件梯级配筋详细参数
Table 1. Parameters of each specimen's graded reinforcement
Specimen Grade Length of each
grade/mmDetails of reinforcement Reinforcement ratio/% Steel bars GFRP bars A 1 0-700 4$\phi $16 steel bars + 4$ \phi $14 GFRP bars 1.29 0.99 2 700-2700 4$ \phi $16 steel bars 1.29 — B 1 0-1000 4$ \phi $16 steel bars + 4$ \phi $14 GFRP bars 1.29 0.99 2 1000-2700 4$ \phi $16 steel bars 1.29 — C 1 0-500 4$ \phi $16 steel bars + 10$ \phi $10 GFRP bars 1.29 1.26 2 500-760 4$ \phi $16 steel bars + 6$ \phi $10 GFRP bars 1.29 0.75 3 760-2700 4$ \phi $16 steel bars 1.29 — D 1 0-650 4$ \phi $14 GFRP bars + 10$ \phi $10 GFRP bars — 2.24 2 650-1400 4$ \phi $14 GFRP bars +6$ \phi $10 GFRP bars — 1.74 3 1400-2700 4$ \phi $14 GFRP bars — 0.99 E 1 0-500 4$ \phi $16 steel bars + 10$ \phi $10 GFRP bars + 3$ \phi $10 steel bars (embed) 1.54 1.16 2 500-1000 4$ \phi $16 steel bars + 6$ \phi $10 GFRP bars + 1$ \phi $10 steel bars (embed) 1.31 0.70 3 1000-2700 4$ \phi $16 steel bars 1.19 — Notes: GFRP—Glass fiber reinforced plastic; $\phi $—Diameter. 表 2 GFRP筋和钢筋的力学性能
Table 2. Mechanical properties of GFRP and steel bars
Type Elastic
modulus/GPaStrength/MPa Yield Tensile $ \phi $14 GFRP bar 35.89 — 520.93 $ \phi $10 GFRP bar 30.92 — 620.83 $ \phi $16 steel bar 202.95 446.67 614.42 $ \phi $10 steel bar 191.08 471.19 575.34 表 3 梯级GFRP筋混凝土受弯试件各梯级段的变形及试件破坏模式
Table 3. Deformation of each grade and failure mode of concrete flexural specimens with graded GFRP bars
Specimen Grade Rotation/rad Top displacement of
the member produced by
each grade/mmPlastic development
degree of each gradeFailure mode A 1 0.0455 118.10 Full development Ductile failure 2 0.0472 83.90 Ultimate failure B 1 0.0396 100.50 Ultimate failure GFRP bars fracture 2 0.0097 9.50 Undeveloped C 1 0.0554 141.70 Ultimate failure GFRP bars fracture 2 0.0109 23.10 Partial development 3 0.0143 26.00 Slight development D 1 0.0598 149.25 Ultimate failure GFRP bars fracture 2 0.0400 67.77 Partial development 3 0.0613 33.00 Full development E 1 0.0477 120.50 Partial development Interface debonding 2 0.0464 83.90 Ultimate failure 3 0.0256 27.00 Partial development -
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