一种新形式的钢纤维混凝土冲击动态本构关系及材料参数的确定

叶中豹; 李永池; 赵凯; 黄瑞源; 孙晓旺; 张永亮

doi:10.11883/bzycj-2016-0252

一种新形式的钢纤维混凝土冲击动态本构关系及材料参数的确定

doi: 10.11883/bzycj-2016-0252

叶中豹^{1, 2},
李永池¹,
赵凯^1, ,,
黄瑞源³,
孙晓旺¹,
张永亮¹

1.
中国科学技术大学近代力学系，安徽合肥 230026
2.
安徽新华学院土木与环境工程学院，安徽合肥 230088
3.
南京理工大学瞬态物理国家重点实验室，江苏南京 210094

基金项目:

国家自然科学基金项目 11402266

国家自然科学基金项目 11202206

安徽高等学校省级自然科学重点研究项目 KJ2016A315

安徽高等学校省级自然科学重点研究项目 KJ2016A316

安徽高等学校省级自然科学重点研究项目 KJ2017A615

北京理工大学爆炸科学与技术国家重点实验室开放课题 KFJJ13-9M

详细信息

作者简介:
叶中豹(1981-), 男, 博士研究生, 讲师, 高级工程师

通讯作者:
赵凯, kzhao@ustc.edu.cn

中图分类号: O381
计量
- 文章访问数: 6170
- HTML全文浏览量: 1358
- PDF下载量: 513
- 被引次数: 0
出版历程
- 收稿日期: 2016-08-19
- 修回日期: 2016-11-30
- 刊出日期: 2018-03-25

A new impact dynamic constitutive relation of steel fiber reinforced concrete and the determination of material parameters

1.
Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, Anhui, China
2.
College of Civil and Environmental Engineering, Anhui Xinhua College, Hefei 230088, Anhui, china
3.
National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, china

摘要

摘要: 采用∅75 mm大口径SHPB系统进行了钢纤维体积率为0%、0.75%、1.5%三种混凝土材料动态性能实验，得出了不同钢纤维含量、不同应变率下的材料应力-应变关系曲线，实验结果表明：随着纤维含量及应变率的增加，钢纤维混凝土材料的峰值应变、峰值应力都随之提高，并在峰值应力之后出现应力的应变软化现象。以此实验结果为基础，提出了一种依赖于应变和应变率相关函数的新型非线性黏塑性动态本构关系，并通过对实验曲线的三步逐次最小二乘优选模拟，得到了相应的材料参数。结果表明，该本构关系对实验数据的模拟效果较好。
- 钢纤维混凝土 /
- SHPB /
- 应变率效应 /
- 动态本构关系
Abstract: In the present study we carried out the dynamic compression experiments of steel fiber reinforced concrete with the fiber volume ratios of 0%, 0.75% and 1.5% using the ∅75 mm large-diameter split Hopkinson pressure bar experimental system to obtain the stress-strain curves at different strain rates. The experimental results show that with the increase of the fiber content and the strain rate, both the peak strain and the peak stress of the steel reinforced concrete rise higher, and the strain softening is observed after the peak stress. Based on the assumption that there are two independent factors controlling the dynamic behavior of the steel fiber reinforced concrete, one related to the strain to indicate the nonlinear stress-strain behavior and the other related to the strain rate to express the strain rate effect, a new type of the dynamic nonlinear visco-plastic constitutive equation was proposed. The details concerning how to get the equation and the material parameters were discussed thoroughly. The experiment curves were fitted using the least squares optimization numerical simulations. Good agreement between the numerical simulations and the experiment curves was achieved, thereby concluding that the new constitutive relation proposed is perfect for steel fiber reinforced concrete.
- steel fiber reinforced concrete (SFRC) /
- SHPB /
- strain rate effect /
- dynamic constitutive relation

HTML全文

图 1 应力应变曲线

Figure 1. Stress-strain curve

下载: 全尺寸图片幻灯片

图 2 实验拟合曲线

Figure 2. Experimental and fitting curves

下载: 全尺寸图片幻灯片

图 3 不同条件下的实验和拟合曲线

Figure 3. Experimental and fitting curves under different conditions

下载: 全尺寸图片幻灯片

表 1 钢纤维混凝土原料配比

Table 1. Mix proportion of the steel fiber concrete

试件	φ/%	各组分的体积质量/(kg·m^-3)
试件	φ/%	水泥	细骨料	粗骨料	减水剂	水	钢纤维
A	0	440	834	1 018	6.6	158	0
B	0.75	440	834	997	6.6	158	59
C	1.5	440	834	978	6.6	158	117

下载: 导出CSV

表 2 式(2)拟合参数

Table 2. Fitting parameters in Eq.(2)

φ/%	a₁/GPa	a₂/TPa	a₃/TPa	a₄/TPa
0	22.9	-2.28	76.5	-828

下载: 导出CSV

表 3 拟合结果

Table 3. Fitting results

φ/%	$ {\dot \varepsilon }$/s^-1	$ k\left( {\dot \varepsilon } \right)$
0	45.42	1.00
0	62.51	1.18
0	86.12	1.60
0.75	38.24	1.28
0.75	82.21	1.56
0.75	120.13	1.99
1.5	75.68	1.14
1.5	130.08	1.70
1.5	149.13	2.25

下载: 导出CSV

表 4 式(4)拟合参数

Table 4. Fitting parameters in Eq. (4)

φ/%	c₀	c₁	c₂
0	1.0	0.21	1.14
0.75	1.3	0.10	0.64
1.5	3.4	-7.00	5.10

下载: 导出CSV

参考文献(7)

[1]	曹吉星. 钢纤维混凝土的动态本构模型及其有限元方法[D]. 成都: 西南交通大学, 2011. http://cdmd.cnki.com.cn/article/cdmd-10613-1011233294.htm
[2]	严少华, 钱七虎, 孙伟.钢纤维高强混凝土单轴压缩下应力-应变关系[J].东南大学学报, 2001, 31(2):77-80. doi: 10.3969/j.issn.1001-0505.2001.02.019 YAN Shaohua, QIAN Qihu, SUN Wei. Stress-strain relationship of high-strength steel fiber reinforced concrete in compression[J]. Journal of Southeast University, 2001, 31(2):77-80. doi: 10.3969/j.issn.1001-0505.2001.02.019
[3]	金凤杰, 许金余, 范飞林, 等.钢纤维混凝土的高温动态强度特性[J].硅酸盐通报, 2013, 32(4):110-114. http://d.old.wanfangdata.com.cn/Periodical/gsytb201304027 JIN Fengjie, XU Jinyu, FAN Feilin, et al. Strength property of steel fiber reinforced concrete at elevated temperature[J]. Bulletin of the Chinese Ceramic Society, 2013, 32(4): 110-114. http://d.old.wanfangdata.com.cn/Periodical/gsytb201304027
[4]	严少华, 李志成, 王明洋, 等.高强钢纤维混凝土冲击压缩特性试验研究[J].爆炸与冲击, 2002, 22(3):237-241. http://www.bzycj.cn/CN/abstract/abstract10154.shtml YAN Shaohua, LI Zhicheng, WANG Mingyang, et al. Dynamic compressive behaivour of high-strength steel fiber reinforced concrete[J]. Explosion and Shock Waves, 2002, 22(3):237-241. http://www.bzycj.cn/CN/abstract/abstract10154.shtml
[5]	赵碧华, 刘永胜.超短钢纤维混凝土的SHPB试验研究[J].混凝土, 2007(8):55-57. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=hnt200708018 ZHAO Bihua, LIU Yongsheng. Impact compressive experiment of spur-short steel fiber reinforced concrete by SHPB[J]. Concrete, 2007(8):55-57. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=hnt200708018
[6]	杜修力, 窦国钦, 李亮, 等.纤维高强土的动态力学性能试验研究[J].工程力学, 2011, 28(4):138-144. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=gclx201104024&dbname=CJFD&dbcode=CJFQ DU Xiuli, DOU Guoqin, LI Liang, et al. Exepeimental study on dynamic mechanical properties of fiber reinforced high strength concrete[J]. Engineering Mechanics, 2011, 28(4):138-144. http://kns.cnki.net/KCMS/detail/detail.aspx?filename=gclx201104024&dbname=CJFD&dbcode=CJFQ
[7]	尚兵, 胡时胜, 姜锡权.金属材料SHPB实验数据处理的三波校核法[J].爆炸与冲击, 2010, 30(4):429-432. doi: 10.11883/1001-1455(2010)04-0429-04 SHANG Bing, HU Shisheng, JIANG Xiquan. A three-wave coupling method for data treatment in SHPB experiments with metal samples[J]. Explosion and Shock Waves, 2010, 30(4):429-432. doi: 10.11883/1001-1455(2010)04-0429-04