高温高应变率下混凝土材料的损伤演化方程

文彦博; 黄瑞源; 李平; 马剑; 肖凯涛

doi:10.11858/gywlxb.20200617

高温高应变率下混凝土材料的损伤演化方程

doi: 10.11858/gywlxb.20200617

文彦博^1,,
黄瑞源^1,*, ,,
李平²,
马剑³,
肖凯涛⁴

1.
南京理工大学瞬态物理国家重点实验室，江苏南京　210094
2.
安徽工业大学机械学院，安徽马鞍山　243032
3.
江苏科技大学船舶与土木工程学院，江苏镇江　215600
4.
防化研究院，北京　102205

基金项目: 国家自然科学基金（11402266, 11802001, 11672138）；中国空气动力研究与发展中心超高速碰撞研究中心开放基金（20200203）

详细信息

作者简介:
文彦博（1998－），男，硕士研究生，主要从事爆炸力学研究. E-mail: ybwen@njust.edu.cn

通讯作者:
黄瑞源（1984－），男，博士，讲师，主要从事冲击动力学研究. E-mail: ryhuang@njust.edu.cn

中图分类号: O347
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出版历程
- 收稿日期: 2020-09-22
- 修回日期: 2020-10-25

Damage Evolution Equation of Concrete Materials at High Temperatures and High Strain Rates

WEN Yanbo^1
,,
HUANG Ruiyuan^{1,*
, ,},
LI Ping²,
MA Jian³,
XIAO Kaitao⁴

1.
National Key Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
2.
School of Mechanical Engineering, Anhui University of Technology, Ma'anshan 243032, Anhui,China
3.
Naval Architecture and Civil Engineering, Jiangsu University of Science and Technology, Zhenjiang 215600, Jiangsu, China
4.
Research Institute of Chemical Defense, Beijing 102205, China

摘要

摘要: 采用$\varnothing $74 mm大口径分离式霍普金森压杆（SHPB）对不同温度(20、200、400 ℃)下的C45混凝土材料进行动态力学性能实验，得到了不同温度、不同应变率下混凝土材料的应力-应变曲线。实验结果表明：在20～400 ℃温度范围内，混凝土材料具有温度硬化和应变率硬化现象。基于上述实验数据给出了损伤变量关于塑性应变的关系式，并通过相关实验数据确定了不同温度、不同应变率下损伤演化方程的材料参数。将该损伤演化方程应用于混凝土材料的本构关系中，预测结果与实验数据具有较好的一致性，证明了所提出的高温、高应变率下混凝土材料损伤演化方程的合理性。
- 混凝土 /
- 霍普金森压杆 /
- 应变率效应 /
- 损伤演化方程
Abstract: In this paper, the dynamic mechanical properties of C45 concrete materials at different temperatures (20, 200, 400 °C) are carried out on split Hopkinson pressure bar (SHPB) equipment with a large diameter of 74 mm. The stress-strain curves of concrete materials at different temperatures and strain rates are obtained through experiments. As the expansion of microcracks inside concrete materials is inhibited by the increase of strain rate, the concrete specimens exhibit strain rate hardening effect. The experimental results show that the concrete material has temperature hardening and strain rate hardening in the temperature range of 20 °C to 400 °C. Through the relevant theoretical derivation, the SHPB experimental data of concrete materials are transformed into the relationship between damage variables and plastic strain. Then the material parameters of the damage evolution equation at different temperatures and different strain rates are determined by relevant experimental data. Finally, the damage evolution equation of concrete materials at high temperatures and high strain rates are applied to the constitutive relation of concrete materials. The prediction results are in good agreement with the experimental data.
- concrete /
- split Hopkinson pressure bar (SHPB) /
- strain rate effect /
- damage evolution equation

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图 1 SHPB装置示意图

Figure 1. Schematic diagram of the SHPB device

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图 2 SHPB装置

Figure 2. Image of the SHPB device

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图 3 高温加热装置

Figure 3. High temperature heating device

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图 4 不同温度、应变率下混凝土材料的应力-应变曲线

Figure 4. Stress-strain curves of concrete materials with different temperatures and strain rates

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图 5 不同温度下峰值应力和应变率的关系

Figure 5. The relationship between peak stress andstrain rate at different temperatures

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图 6 温度不同时混凝土试件的破碎情况

Figure 6. Smashed concrete specimens at different temperatures

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图 7 实验和拟合得到的损伤变量-塑性应变曲线对比

Figure 7. Comparison of experimental and fitted results of damage variable-plastic strain curves

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图 8 材料参数A、B与应变率的关系

Figure 8. The relationship between material parameters A，B and strain rate

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图 9 弹性模量与应变率的关系

Figure 9. Relationship between elastic modulus and strain rate

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图 10 实验和计算的应力-应变曲线比较

Figure 10. Comparison of experimental and calculated results of stress-strain curves

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表 1 混凝土材料的配比

Table 1. Mixture ratio of the concrete material kg/m³

Stone Sand Water Cement Water reducing agent

950 900 173 500 12.5

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表 2 测试相关信息

Table 2. Summary of the test information

No. Temperature/℃ Strain rate/s⁻¹ Peak stress/MPa

1 20 37 52.42
2 20 56 68.41
3 20 76 78.91
4 200 33 50.83
5 200 41 62.42
6 200 49 74.95
7 400 32 66.83
8 400 47 89.29
9 400 56 97.93

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表 3 不同温度、应变率条件下的材料参数A和B

Table 3. Material parameters A and B at different temperatures and strain rates

Temperature/℃ Strain rate/s⁻¹ A B

20 37 0.698 240.9
56 0.411 441.9
76 0.364 536.0
200 33 0.597 314.4
41 0.507 388.0
49 0.434 418.1
400 32 0.418 271.7
47 0.369 314.3
56 0.311 412.0

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参考文献(26)

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No.	Temperature/℃	Strain rate/s⁻¹	Peak stress/MPa
1	20	37	52.42
2	20	56	68.41
3	20	76	78.91
4	200	33	50.83
5	200	41	62.42
6	200	49	74.95
7	400	32	66.83
8	400	47	89.29
9	400	56	97.93

Temperature/℃	Strain rate/s⁻¹	A	B
20	37	0.698	240.9
	56	0.411	441.9
	76	0.364	536.0
200	33	0.597	314.4
	41	0.507	388.0
	49	0.434	418.1
400	32	0.418	271.7
	47	0.369	314.3
	56	0.311	412.0

Stone	Sand	Water	Cement	Water reducing agent
950	900	173	500	12.5

高温高应变率下混凝土材料的损伤演化方程

doi: 10.11858/gywlxb.20200617

作者简介: 文彦博（1998－ ），男，硕士研究生，主要从事爆炸力学研究. E-mail: ybwen@njust.edu.cn

通讯作者: 黄瑞源（1984－ ），男，博士，讲师，主要从事冲击动力学研究. E-mail: ryhuang@njust.edu.cn

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Damage Evolution Equation of Concrete Materials at High Temperatures and High Strain Rates

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目录

作者简介:
文彦博（1998－），男，硕士研究生，主要从事爆炸力学研究. E-mail: ybwen@njust.edu.cn

通讯作者:
黄瑞源（1984－），男，博士，讲师，主要从事冲击动力学研究. E-mail: ryhuang@njust.edu.cn