钢纤维混凝土板在冲击与爆炸荷载下的K&amp;C模型

尹华伟; 蒋轲; 张料; 黄亮; 王陈凌

doi:10.11858/gywlxb.20190853

钢纤维混凝土板在冲击与爆炸荷载下的K&C模型

doi: 10.11858/gywlxb.20190853

尹华伟^{1, 2,},
蒋轲¹,
张料¹,
黄亮¹,
王陈凌¹

1.
湖南大学土木工程学院，湖南长沙　410082
2.
湖南湖大土木建筑工程检测有限公司，湖南长沙　410082

基金项目: 国家重点研发计划(2016YFC0701405)

详细信息

作者简介:
尹华伟（1972－），男，博士，副教授，主要从事爆炸与冲击动力学研究. E-mail: yhwzzy@163.com

中图分类号: O347.3; TU375
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出版历程
- 收稿日期: 2019-11-01
- 修回日期: 2019-11-25

K&C Model of Steel Fiber Reinforced Concrete Plate under Impact and Blast Load

1.
College of Civil Engineering, Hunan University, Changsha 410082, Hunan, China
2.
Civil Engineering Inspection and Test Limited Company of Hunan University, Changsha 410082, Hunan, China

摘要

摘要: 钢纤维混凝土(Steel fiber reinforced concrete，SFRC)具有优异的延性、韧性及能量吸收能力，被广泛应用于各类防护结构。K&C模型已成为研究普通混凝土构件动力响应的常用材料模型，但仍无法准确表征SFRC的动力特性。为了提高K&C模型在冲击及爆炸荷载作用下预测SFRC板动力响应的能力，对K&C模型进行了改进：基于大量三轴压缩实验数据，建立了新的失效强度面参数模型；采用反复试验法，建立了新的损伤演化模型，并校准了拉、压损伤参数；基于大量高应变率下SFRC的单轴压缩实验数据，建立了新的受压动力增强因子模型。通过LS-DYNA显式有限元动力分析软件模拟了SFRC板的动力响应，模拟结果验证了上述改进的有效性与可靠性。
- 钢纤维混凝土 /
- K&C模型 /
- 冲击荷载 /
- 爆炸荷载 /
- 动力响应
Abstract: Steel fiber reinforced concrete (SFRC) is widely used in protective structures due to its excellent ductility, toughness and energy absorption capacity. K&C model is a common constitutive model for studying the response of normal concrete components under impact and blast loads, but it cannot accurately characterize the dynamic response of SFRC. In order to improve prediction of K&C model for the dynamic response of SFRC plate under impact and blast load, this work improves K&C model: a new failure strength surface parameter model was established based on a large number of triaxial compression experimental data, a new damage evolution model was established by trial-and-error method, and the damage parameters of tensile and compressive were calibrated. A new compression dynamic increase factor (CDIF) model was established based on a large number of uniaxial compression experimental data of SFRC under high strain rate. The dynamic response of SFRC plate is simulated by explicit dynamic analysis software LS-DYNA. The effectiveness and reliability of the above improvements have been verified by simulation results.
- steel fiber reinforced concrete /
- K&C model /
- impact load /
- blast load /
- dynamic response

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图 1 钢纤维体积分数不同时的三轴压缩数据以及式（2）、式（5）的预测值

Figure 1. Triaxial compression data of different fiber contents as well as predictions from Eq.(2) and Eq.(5)

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图 2 改进的失效强度面

Figure 2. Modified failure strength surface

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图 3 损伤演化函数η(λ)的比较

Figure 3. Comparisons of damage evolution function η(λ)

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图 4 单轴压缩试验的应力-应变曲线与K&C模型的预测结果比较

Figure 4. Comparisons of experiment at stress-strain curve of UUC test and prediction of K&C models

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图 5 单轴拉伸试验的应力-应变曲线与K&C模型的预测结果比较

Figure 5. Comparisons of experiment at stress-strain curve of UUT test and prediction of K&C models

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图 6 不同模型得到的CDIF值与实验数据的比较

Figure 6. Comparisons of CDIF values obtained from different models and experiments

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图 7 新模型得到的CDIF值与实验数据的比较

Figure 7. Comparisons of CDIF values obtained from new models and experiments

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图 8 不同模型得到的TDIF比较

Figure 8. Comparisons of TDIF values obtained from different models

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图 9 SFRC靶板在平头弹丸冲击下的有限元模型

Figure 9. Finite element model of flat-ended projectile impacting SFRC plate

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图 10 不同撞击速度下SFRC板破坏模式的实验结果^[1]与数值模拟结果对比

Figure 10. Comparison of the damage patterns of SFRC plate from experimental results^[1] and numerical simulation under different impact velocities

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图 11 SFRC板在爆炸荷载作用下的有限元模型

Figure 11. Finite element model of SFRC plate under blast load

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图 12 不同纤维体积分数时SFRC板挠曲破坏模式的实验结果^[2]与数值预测对比

Figure 12. Comparisons of the damage patterns of SFRC plate from simulation predictions and experimental results^[2] under different fiber volume fractions

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表 1 改进的钢纤维混凝土K&C模型参数

Table 1. Parameters of the modified K&C model of SFRC

Strength surface
a₀/MPa		a₁	a₂/MPa⁻¹		a_0y/MPa		a_1y	a_2y/MPa⁻¹		a_1f	a_2f/MPa⁻¹
64.0		0.481	5.82×10⁻⁴		45.93		0.726	1.77×10⁻³		0.476	8.56×10⁻⁴

Damage								Others
b₁	b₂	b₃	α	α_c	α_d	λ_m	L_w/mm	f_c/MPa	f_t/MPa	ρ/(kg·m⁻³)	ν	ω
0.75	−1.50	1.15	3.00	0.381	1.90	9.5×10⁻⁵	24	175.3	13.8	2 600	0.19	0.5

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表 2 平头弹丸的材料参数

Table 2. Materials parameters of the flat ended projectile

ρ/(g·cm⁻³)	G/GPa	A/MPa	B/MPa	N	C	M	T_m/K	T_R/K
7.83	210	792	510	0.26	0.014	1.03	1 793	294

ε/(μs⁻¹)	c_p/（J·kg⁻¹·K⁻¹）	SPALL	IT	D₁	D₂	D₃	D₄	D₅
1.0 × 10⁻⁴	4.77 × 10⁻⁵	3.0	0.0	4.00	0.00	0.00	0.00	0.00

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表 3 实验数据与数值模拟结痂弹坑直径比较

Table 3. Comparisons of experimental data and numerical simulation of the scabbed crater diameter

Projectile velocity/(m·s⁻¹)	Scabbed crater diameter/mm			Model error/%
Projectile velocity/(m·s⁻¹)	Experiment	Original K&C	Modified K&C	Original K&C	Modified K&C
58.2	120.5	132	106	9.5	12.0
76.0	119.2	148	124	24.2	4.0
104.0	120.3	28	128	76.7	6.4

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