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浙江大学学报(工学版)
Journal of ZheJiang University (Engineering Science)  2021, Vol. 55 Issue (5): 999-1009    DOI: 10.3785/j.issn.1008-973X.2021.05.021
    
Dynamic compressive properties and constitutive model of reactive powder concrete
Lei XIE(),Qing-hua LI*(),Shi-lang XU
School of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China
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Abstract  

The granulated blast furnace slag was used to replace part of cement to prepare steam free reactive powder concrete (RPC), in order to overcome the disadvantage of traditional reactive powder concrete (RPC) that needs high temperature steam curing. The impact compression experiment of steam free RPC was carried out by using split Hopkinson pressure bar system (SHPB) with diameter of 80 mm, the influence of rate effect on the dynamic mechanical properties of steam free RPC was explored at the same time, and the dynamic constitutive model was established based on the experimental results. Results show that in the strain rate range of 10~290 $ {{\rm{s}}^{ - 1}}$, the peak stress, the peak strain and the impact toughness of the steam free RPC show obvious rate sensitivity, while the elastic modulus remains unchanged under different strain rates. On the aspect of constitutive model, both the improved Z-W-T viscoelastic constitutive model and the Weibull distribution-based model can well describe the dynamic stress-strain curve of steam free RPC. Due to the relatively fewer parameters Weibull distribution-based model contains, the stress-strain curve under different strain rates can be predicted based on the known relationship between parameters and strain rate in the model.

Key words： reactive powder concrete (RPC)      split Hopkinson pressure bar system (SHPB)      strain rate effect      dynamic compressive property      dynamic constitutive model     
Received: 14 May 2020      Published: 10 June 2021
CLC:  TU 528.572  
Fund:  国家自然科学基金资助项目（51622811）
Corresponding Authors: Qing-hua LI     E-mail: 21712220@zju.edu.cn;liqinghua@zju.edu.cn
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Lei XIE
Qing-hua LI
Shi-lang XU
Cite this article:

Lei XIE,Qing-hua LI,Shi-lang XU. Dynamic compressive properties and constitutive model of reactive powder concrete. Journal of ZheJiang University (Engineering Science), 2021, 55(5): 999-1009.

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http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2021.05.021     OR     http://www.zjujournals.com/eng/Y2021/V55/I5/999


活性粉末混凝土冲击压缩性能及本构关系

为了克服传统活性粉末混凝土（RPC）须高温蒸养的缺点，采用粒化高炉矿渣代替部分水泥制备出免蒸养RPC，利用直径为80 mm的霍普金森压杆试验系统（SHPB）对免蒸养RPC进行冲击压缩试验研究，探究率效应对免蒸养RPC动态力学性能的影响规律，建立动态本构模型. 结果表明：在10~290 $ {{\rm{s}}^{ - 1}}$的应变率范围内，免蒸养RPC的峰值应力、峰值应变和冲击韧性表现出明显的率敏感性，而弹性模量在不同应变率下基本保持不变. 改进型Z-W-T黏弹性本构模型和基于Weibull分布的模型均能对免蒸养RPC的动态应力-应变曲线进行较好的描述，基于Weibull分布的模型所含参数相对较少，根据模型中各参数与应变率之间的关系可以对不同应变率下的应力-应变曲线进行预测.


关键词： 活性粉末混凝土（RPC）,  霍普金森压杆试验系统（SHPB）,  应变率效应,  冲击压缩性能,  动态本构模型 
Fig.1 Specimens prepared for dynamic test
Fig.2 Schematic diagram of split Hopkinson pressure bar
Fig.3 Average stress-strain curve under different impact pressures
Fig.4 Dynamic peak stress and DIF with different strain rates
Fig.5 Relationship between peak strain and strain rates
Fig.6 Comparison between energy absorption of different kinds of ultra high performance concrete
Fig.7 Proportion of stages under varied impact pressures
Fig.8 Nonlinear viscoelastic constitutive model
Fig.9 Comparison between theoretical stress-strain curves based on improved Z-W-T model and experimental curves
$ \dot{\varepsilon } $/ ${{\rm{s}}^{ - 1}}$ ${E^{'}}$/GPa ${E_2}$/GPa ${\theta _2}$/μs $m$ $n/ {10^{ - 3}}$ ${\varepsilon _{\rm{th}}}/{10^{ - 3}}$ $k$
10.57 287.360 ?174.1000 ?331.3900 0.8290 6.100 1.550 165.110
92.57 11.464 144.6740 9.7676 1.3390 1.030 2.247 41.889
140.10 ?6.563 146.8910 11.4730 0.9355 11.777 2.016 40.737
175.60 ?55.573 187.1640 15.8260 0.3990 106.628 2.205 174.509
200.27 ?50.976 178.6470 14.8670 0.4050 104.193 2.331 165.410
265.80 ?267.832 394.8950 34.2050 0.3240 88.225 3.240 176.505
289.43 ?112.749 244.3337 17.3725 0.3770 91.451 3.402 174.322
Tab.1 Fitted parameters of Z-W-T model
Fig.10 Variation curves of damage variables with strain at different strain rates
Fig.11 Elastic modulus under different strain rates
Fig.12 Comparison between theoretical stress-strain curves based on modified Weibull distribution and experimental curves
Fig.13 Comparison between predicted and experimental curves for dynamic stress-strain relationships of reactive powder concrete
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