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浙江大学学报(工学版)
浙江大学学报(工学版)  2020, Vol. 54 Issue (5): 851-857    DOI: 10.3785/j.issn.1008-973X.2020.05.002
土木工程、交通工程     
超高韧性水泥基复合材料的波传播试验研究
李庆华(),舒程岚青
浙江大学 建筑工程学院，浙江 杭州 310058
Experimental study on stress wave propagation in ultra high toughness cementitious composites
Qing-hua LI(),Cheng-lan-qing SHU
College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China
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摘要：

为了研究超高韧性水泥基复合材料（UHTCC）中应力波的传播特性，采用Hopkinson杆加载UHTCC试件，测得UHTCC在0.2、0.3、0.4、0.5 MPa冲击气压下的应力波信号. 通过对比入射杆波形，验证相同加载条件下加载波形的一致性. 分别采用两点法和峰值法计算每种冲击气压下UHTCC中应力波的波速，结果显示，两点法适用性较广，计算结果较稳定，利用峰值法测波速则需要入射杆和试件波阻抗相近. 计算结果显示，UHTCC中应力波波速、衰减系数随冲击气压均无明显变化，平均波速为3.060 km/s，平均衰减系数为2.777 m?1. 可以利用朱-王-唐本构模型参数表达材料中应力波的波速和衰减，也可以利用实测的波速和衰减系数将UHTCC的朱-王-唐冲击本构模型表示为只含单个准静态参数的方程，从而提供通过试验直接确定UHTCC动态本构的方法.
关键词： 应力波;  波速;  超高韧性水泥基复合材料（UHTCC）;  衰减;  朱-王-唐本构模型    
Abstract:

The ultra high toughness cementitious composite (UHTCC) specimens were loaded with Hopkinson bar, and the stress wave signals in UHTCC under impact pressure of 0.2, 0.3, 0.4, 0.5 MPa were measured, in order to study the propagation characteristics of stress waves in UHTCC. The consistency of the loading waveforms under the same loading conditions was verified by comparing the incident bar waveforms. The stress wave speeds in UHTCC under different impact pressures were calculated by two methods, i.e. two point method and peak value method. Results show that the two point method is more applicable and the calculation results are relatively stable. However, the peak value method requires similar wave impedance of the incident bar and the specimen. Calculation results show that the stress wave speed and attenuation coefficient in UHTCC do not change significantly with the impact pressure, and the average wave speed is 3.060 km/s, as well as the average attenuation coefficient is 2.775 m?1. The wave speed and attenuation of stress waves in material can be expressed by parameters of Zhu-Wang-Tang constitutive model. Correspondingly, the measured wave speed and attenuation coefficient can represent the Zhu-Wang-Tang impact constitutive model of UHTCC as an equation with a single quasi-static parameter. An experimental method to determine the dynamic constitutive of UHTCC directly is provided.
Key words: stress wave    wave speed    ultra high toughness cementitious composite (UHTCC)    attenuation    Zhu-Wang-Tang constitutive model
收稿日期: 2019-04-22 出版日期: 2020-05-05
CLC:  TU 528  
基金资助: 国家自然科学基金资助项目（51622811，51678522）
作者简介: 李庆华（1981―），女，教授，从事新材料结构、防护力学研究. orcid.org/0000-0003-2694-1936. E-mail： liqinghua@zju.edu.cn
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引用本文:

李庆华,舒程岚青. 超高韧性水泥基复合材料的波传播试验研究[J]. 浙江大学学报(工学版), 2020, 54(5): 851-857.

Qing-hua LI,Cheng-lan-qing SHU. Experimental study on stress wave propagation in ultra high toughness cementitious composites. Journal of ZheJiang University (Engineering Science), 2020, 54(5): 851-857.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2020.05.002    或    http://www.zjujournals.com/eng/CN/Y2020/V54/I5/851

材料 ρB/(kg·m?3） 材料 ρB/(kg·m?3）
胶凝材料 1 265.0 微型钢纤维 78.0
水 448.0 PVA 28.7
砂 370.3 减水剂 7.3
纳米SiO2 40.0 ? ?
表 1  UHTCC材料配合比
图 1  UHTCC应力波传播试验装置
图 2  入射杆实测波形对比
图 3  不同冲击气压下的典型波形图
I/MPa ?L/mm ?t/μs C/(km·s?1) C0/(km·s?1)
0.18 300 97.8 3.067 3.074
0.20 300 102.4 2.930
0.25 300 93.0 3.226
0.30 300 102.6 2.924 3.037
0.30 300 94.8 3.165
0.30 300 102.4 2.930
0.30 300 105.6 2.841
0.33 300 90.2 3.326
0.40 300 102.2 2.935 3.076
0.40 300 86.6 3.464
0.40 300 104.4 2.874
0.40 300 99.0 3.030
0.45 300 96.4 3.112 3.062
0.50 300 97.2 3.086
0.50 225 66.2 3.399
0.50 300 105.2 2.852
0.50 300 104.8 2.863
表 2  两点法得到的波速计算表
I/MPa UI/V UR/V C2/（km·s?1）
0.18 0.637 60 ?0.574 7 1.263 8
0.18 0.127 30 ?0.121 8 0.538 0
0.25 0.216 10 ?0.191 8 1.449 5
0.30 2.538 40 ?2.292 2 1.240 9
0.45 3.296 96 ?2.782 0 2.063 1
表 3  峰值法得到的波速计算结果
图 4  入射杆上一点处的典型波形
图 5  朱-王-唐本构物理模型
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