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Experimental studies on compressive shear strength and failure criterion of concrete considering rate effect
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摘要: 利用TAZW-1000大型多功能静动力三轴仪对5种不同加载速率、6种不同法向应力作用下的混凝土进行抗剪试验，分析法向应力和加载速率对混凝土抗剪性能的影响，并基于Bresler-Pister静态强度准则，提出了考虑率效应的混凝土压剪强度准则。研究结果表明：混凝土的剪切强度随法向压力增大呈线性分阶段增大，在一定法向压力范围内剪切强度增幅近似呈直线，然后增幅开始减小；压剪共同作用下混凝土动态抗剪强度提高的主要因素是法向压力的增加，而加载速率对其影响不大。随着法向压力增大，混凝土率效应增强；基于Bresler-Pister静态强度提出的混凝土动态压剪强度准则与试验数据吻合较好，可为动态压剪作用下混凝土强度准则的提出提供参考。Abstract: The shear test studies of concrete under five different loading rates and six different normal stresses are carried out by a dynamic and static three axis apparatus, the effects of stress and loading rate on the shear performance of the concrete are analyzed in this paper. Based on the Bresler-Pister static strength criterion, the shear strength criterion of the concrete considering the rate effect is put forward. The analysis results show that the shear strength of the concrete with the normal pressure increases linearly in stages, within a certain range of the normal compressive stress, the shear strength increases approximately in a straight line, and the magnitude of the increase begins to decrease when the shear strength exceeds a certain range; under the conditions of the compression and shear, the main factor in improving the dynamic shear strength of concrete is the increase of the normal pressure, and the loading rate has a little influence on it. The rate effect of the concrete increases with the increase in the normal pressure; and the dynamic shear strength criterion of the concrete based on the Bresler-Pister quasi static strength is in good agreement with the experimental data, which can provide references for the strength criterion of the concrete under the actions of the dynamic pressures.
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Key words:
- concrete /
- dynamic performance /
- shear /
- rate effect /
- strength criterion
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图 2 剪切强度与法向压力的关系
Figure 2. Relationship curves between shear strength and normal pressure
图 3 剪切强度增幅与加载速率的关系
Figure 3. Relationship curves between shear strength increment and loading rate
图 4 剪应力与法向压力的拟合(1.80 mm/min)
Figure 4. Fitting curves of shear stress and normal pressure
图 6 本文模型与试验数据对比
Figure 6. Comparison between experimental data and data given by model of this paper under different loading rates
图 7 不同加载速率下试验数据与本文模型对比
Figure 7. Comparison between experimental data and data given by model of this paper
表 1 混凝土剪切强度
Table 1. Shear strength of concrete
加载速率/(mm·min-1) 不同法向应力下的剪应力/MPa 0 MPa 2 MPa 4 MPa 6 MPa 8 MPa 10 MPa 0.18 5.02(-/-) 7.66(52.59 /-) 10.66(112.40/-) 13.26(164.10/-) 15.93(112.40/-) 17.10(240.60/-) 0.90 5.07(-/ 1.00) 7.77(53.25 /1.42) 10.87(114.40/1.97) 13.44(165.10/1.36) 16.10(217.60/1.07) \ 1.80 5.33(-/6.18) 7.95(49.16/3.78) 11.00(106.40/3.19) 13.88(160.40/4.68) 16.85(216.10/5.78) 18.17(240.90/6.26) 9.00 \(-/-) 8.09(-/5.32) 11.22(-/5.25) 14.13(-/1.36) 16.30(-/2.32) \ 18.00 5.51(-/9.76) 8.22(49.18/6.81) 11.41(107.10/7.04) 14.36(160.60/8.30) 17.63(220.00/1.07) 18.97(244.30/10.94) 注：表中括号内“/”前后数值分别为相对于0 MPa增幅(%)和相对于0.18 mm/min的增幅(%)。 
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表 2 摩擦系数和黏聚力的拟合
Table 2. Fitting parameter of friction coefficients and cohesive force
加载速率/(mm·min-1) 摩擦系数f' 黏聚力c′ 拟合系数R2 0.18 1.371 5.022 0.999 5 0.90 1.387 5.104 0.999 1 1.80 1.448 5.208 0.999 5 9.00 1.510 5.107 0.993 6 18.00 1.519 5.350 0.993 8
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表 3 不同加载速率下混凝土抗压强度
Table 3. Compressive strength of concrete under different loading rates
设计强度 尺寸 不同加载速率下的抗压强度/MPa 10-4 s-1 10-3 s-1 5×10-3 s-1 7.5×10-3 s-1 10-2 s-1 C30 300 mm 23.42 25.91 28.42 30.18 30.58
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表 4 各加载速率下参数a, b, c计算结果
Table 4. Calculation results of a, b, c parameters under different loading rates
加载速率/(mm·min-1) a b c 0.18 0.084 9 3.792 4 -7.899 2 1.80 0.078 3 3.995 4 -8.447 8 18.00 0.072 2 4.191 2 -8.980 6
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表 5 不同工况下的压剪强度
Table 5. Compressive shear strength values under different working conditions
加载速率/(mm·s-1) 不同法向压力下的压剪强度/ MPa 0 MPa 1 MPa 2 MPa 3 MPa 6 MPa 1.97 3.09 4.32 5.44 8.36 0.1 2.05 3.35 4.50 5.58 8.47 2.12 3.67 4.75 5.69 8.62 2.73 4.23 5.13 5.91 9.01 1.0 2.52 4.12 5.02 6.23 9.12 2.37 4.01 5.35 6.45 9.41 3.39 5.09 6.04 6.80 9.84 10.0 3.28 4.88 6.08 6.51 9.66 2.96 4.77 5.99 6.65 9.48
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表 6 各参数计算结果
Table 6. Calculation results of each parameter
加载速率/(mm·s-1) a b c 0.1 0.090 4 3.648 8 -7.520 7 1.0 0.106 2 3.753 7 -7.973 1 10.0 0.127 2 4.015 1 -8.950 9
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