再生粗骨料混凝土静动态抗压强度离散性试验研究

王小娟; 李润琳; 周宏元; 母崇元; 乔崎云

doi:10.13801/j.cnki.fhclxb.20231113.001

再生粗骨料混凝土静动态抗压强度离散性试验研究

doi: 10.13801/j.cnki.fhclxb.20231113.001

王小娟¹,
李润琳¹,
周宏元^{1, 2, ,},
母崇元¹,
乔崎云¹

1.
北京工业大学　城市与工程安全减灾教育部重点实验室，北京 100124
2.
北京理工大学　爆炸科学与技术国家重点实验室，北京 100081

基金项目: 国家自然科学基金(52278477；52178096)；北京理工大学爆炸科学与技术国家重点实验室开放基金(KFJJ23-12M)

详细信息

通讯作者:
周宏元，博士，教授，博士生导师，研究方向为吸能材料、结构防护、结构抗爆设计　E-mail: hzhou@bjut.edu.cn

中图分类号: TU528；TB332
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- 被引次数: 0
出版历程
- 收稿日期: 2023-08-24
- 修回日期: 2023-09-24
- 录用日期: 2023-11-02
- 网络出版日期: 2023-11-14
- 刊出日期: 2024-06-15

Experimental investigation on discreteness of quasi-static and dynamic compressive strength of recycled aggregate concrete

1.
Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China
2.
State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China

Funds: National Natural Science Foundation of China (52278477; 52178096); Open Foundation of State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology (KFJJ23-12M)

摘要

摘要: 为研究再生粗骨料(RCA)替代率和应变率对再生粗骨料混凝土(RAC)抗压强度离散性的影响，制备了3种不同RCA替代率的RAC (0%、50%、100%)，分别进行准静态压缩及霍普金森压杆(SHPB)试验，于概率统计分析理论，对RAC抗压强度结果进行分析讨论。结果表明：准静态压缩下，RAC抗压强度离散程度随RCA替代率增加变化不显著，但表现出先增加后减小的趋势；SHPB试验应变率为50~120 s⁻¹时，受RCA替代率和应变率的共同影响，同一应变率下RAC动态抗压强度离散程度随RCA替代率增加而增加，同一RCA替代率下RAC动态抗压强度离散程度随应变率增加逐渐减小。此外，对传统Weibull分布模型引入替代率和应变率参数进行修正，考虑到抗压强度离散性可能影响结构设计的安全性，提出了在任意保证率下具有不同RCA替代率的RAC动态抗压强度预测公式。
- 再生混凝土 /
- 离散性 /
- 准静态压缩试验 /
- 霍普金森压杆试验 /
- 抗压强度
Abstract: To explore the influence of the substitute rate of recycled coarse aggregate (RCA) and strain rate on the discreteness of the compressive strength of recycled aggregate concrete (RAC), RAC specimens with three different RCA substitute rates were prepared for both quasi-static compression and split Hopkinson pressure bar (SHPB) tests. The test results show that despite the limited change in the discreteness of compressive strength of RAC with increasing RCA substitution rate, it still tends to initially increase and then decrease as the RCA substitution rate increases. The results of the SHPB test indicate that both the RCA substitute rate and the strain rate exert a significant influence on the variability of the dynamic compressive strength of RAC. The dynamic compressive strength discreteness of RAC with the same RCA substitute rate gradually decreases with increasing strain rate, while it increases with increasing RCA substitute rate under the same strain rate. In addition, the traditional Weibull distribution model was modified by introducing the parameters of RCA substitute rate and strain rate, and a dynamic compressive strength prediction formula for RAC with different RCA substitute rates at any given probability level was proposed.
- recycled aggregate concrete /
- discreteness /
- quasi-static compressive test /
- split Hopkinson pressure bar /
- compressive strength

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图 1 准静态压缩试验下再生混凝土(RAC)试件的破坏模式

Figure 1. Failure mode of RAC specimens under quasi-static compression

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图 2 准静态压缩下再生混凝土抗压强度

Figure 2. Compressive strength of RAC under quasi-static compression

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图 3 霍普金森压杆(SHPB)试验下RAC试件的破坏模式

Figure 3. Failure modes of RAC specimens in split Hopkinson pressure bar (SHPB) test

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图 4 SHPB试验再生混凝土试件抗压强度

Figure 4. Compressive strength of RAC specimens in SHPB test

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图 5 准静态压缩试验下RAC抗压强度分布图

Figure 5. Distribution of compressive strength of RAC under quasi-static compression

μ₁, σ₁—Mean and standard deviation of the normal distribution; m, β—Shape and scale parameters of the Weibull distribution; μ₂, σ₂—Location and scale parameters of the lognormal distribution; R²—Goodness of fit

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图 6 准静态压缩下再生混凝土抗压强度Weibull分布图

Figure 6. Weibull distribution of compressive strength of RAC under quasi-static compression

σ—Compressive strength of RAC; P_f(σ)—Probability of failure at stress σ

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图 7 SHPB试验中RAC动态抗压强度的修正Weibull分布图

Figure 7. Modified Weibull distribution of RAC compressive strength in SHPB test

P_M(σ)—Probability of failure at stress σ based on the modified model

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图 8 不同应变率下不同RCA替代率的RAC的离散系数C_M

Figure 8. Dispersion coefficient C_M of RAC with different RCA substitute rates and strain rates

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图 9 RAC试验值与预测值比较

Figure 9. Comparison between experimental and prediction results of RAC

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图 10 不同保证率R下的RAC动态抗压强度σ_R增长情况

Figure 10. Dynamic compressive strength σ_R growth of RAC with different levels of reliability R

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表 1 普通硅酸盐水泥 P·O 42.5的矿物成分

Table 1. Mineral components of ordinary Portland cement P·O 42.5

Al₂O₃/wt%	SiO₂/wt%	Fe₂O₃/wt%	CaO/wt%	SO₃/wt%	R₂O/wt%	MgO/wt%	Other/wt%
4.42	21.65	2.61	62.93	2.27	0.83	2.92	2.37
Note: R₂O—Basic oxide ( Na₂O, K₂O).

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表 2 粗骨料性能指标

Table 2. Performance index of coarse aggregates

Aggregate type	Gradation/mm	Apparent density/(kg·m⁻³)	Crush index/%	Mortar content/%	Water absorption/%
NCA	5-12.5	2814	8.8	0	0.40
RCA	5-12.5	2640	17.7	34	3.85
Notes: NCA—Natural coarse aggregate; RCA—Recycled coarse aggregate.

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表 3 试验配合比 (kg/m³)

Table 3. Mix design proportions of tests (kg/m³)

Specimen	Cement	Sand	NCA	RCA	Water	Extra water
RAC-0	462.5	596.09	1156.41	0	185	0
RAC-50	462.5	596.09	578.21	578.21	185	17.35
RAC-100	462.5	596.09	0	1156.41	185	34.69
Notes: RAC-0, RAC-50, RAC-100—Recycled aggregate concrete (RAC) with 0%, 50%, 100% substitute rate of recycled coarse aggregate, respectively.

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表 4 准静态压缩下RAC抗压强度Weibull参数

Table 4. Weibull parameters for compressive strength of RAC under quasi-static compression

Specimen	Linear fitting equation Y=aX+b			Weibull parameter		E(σ)/MPa	S/MPa	C	K-S goodness-of-test
Specimen	a	b	R²	m	β	E(σ)/MPa	S/MPa	C	D_n	D_nα
RAC-0	22.80	79.43	0.92	22.80	32.58	31.817	1.737	0.054	0.103	0.215
RAC-50	21.47	73.41	0.93	21.47	30.54	29.783	1.723	0.058	0.104
RAC-100	22.61	74.55	0.98	22.61	27.06	26.415	1.454	0.055	0.069
Notes: E(σ)—Mathematical expectation; S—Variance; C—Dispersion coefficient; K-S—Kolmogorov-Smirnov; a, b—Slope and intercept of the linear fitting equation; D_n—Maximum deviation; D_nα—Critical values for n data at a confidence level of α.

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表 5 不同保证率下的RAC抗压强度

Table 5. Compressive strength of RAC at different levels of reliability

Specimen	σ_mean/MPa	σ_0.75/MPa	σ_0.85/MPa	σ_0.95/MPa
RAC-0	31.82	30.85	30.09	28.60
RAC-50	29.78	28.82	28.06	25.47
RAC-100	26.42	25.61	24.97	22.77
Notes: σ_mean—Mean compressive strength; σ_0.75, σ_0.85, σ_0.95—Compressive strength with a guarantee of 0.75, 0.85, 0.95, respectively.

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表 6 SHPB试验下RAC抗压强度修正Weibull参数

Table 6. Modified Weibull parameters for compressive strength of RAC in SHPB test

Specimen	Strain rate/s⁻¹	Fitting curve	Modified Weibull parameter				R²	E_M(σ)/ MPa	S_M/ MPa	C_M	K-S goodness-of-test
			Modified Weibull parameter								D_n	D_nα
			m	β	η	δ					D_n	D_nα
RAC-0	50.4	Y=10.62X−42.67	10.62	13.53	−3.79	1.5	0.92	52.20	0.74	0.014	0.099	0.215
	68.0	Y=11.05X−45.18	11.05	13.89	−3.82		0.97	57.06	0.71	0.012	0.111
	89.1	Y=11.46X−47.85	11.46	14.37	−3.85		0.98	62.11	0.70	0.011	0.095
	117.3	Y=12.08X−51.68	12.07	15.48	−3.90		0.98	69.20	0.70	0.010	0.094
RAC-50	50.8	Y=8.34X−32.79	8.34	13.05	−2.94		0.94	49.23	0.85	0.018	0.135
	68.7	Y=10.15X−40.66	10.15	13.36	−3.43		0.97	53.13	0.75	0.014	0.123
	88.6	Y=10.88X−44.93	10.88	14.30	−3.62		0.92	60.70	0.73	0.012	0.087
	118.2	Y=11.86X−50.07	11.86	15.43	−3.72		0.96	66.03	0.73	0.011	0.134
RAC-100	53.2	Y=7.19X−27.95	7.19	12.66	−2.53		0.96	45.37	0.96	0.022	0.119
	70.5	Y=8.12X−32.24	8.12	13.99	−2.62		0.94	49.47	1.00	0.020	0.095
	89.2	Y=10.55X−43.06	10.55	14.73	−3.35		0.97	56.23	0.80	0.014	0.142
	121.3	Y=11.24X−47.02	11.24	15.84	−3.42		0.98	62.86	0.80	0.013	0.073
Notes: E_M(σ), S_M, and C_M—Mathematical expectation, variance, and dispersion coefficient based on the modified model; η—Strain rate effect parameter; δ—Substitute rate parameter.

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