ABAQUS混凝土损伤塑性模型中损伤因子的率相关性及实现方法

张永杰; 陈力; 谢普初; 唐柏鉴; 沈函锦

doi:10.11883/bzycj-2021-0464

ABAQUS混凝土损伤塑性模型中损伤因子的率相关性及实现方法

doi: 10.11883/bzycj-2021-0464

1.
苏州科技大学土木工程学院，江苏苏州 215011
2.
东南大学爆炸安全防护教育部工程研究中心，江苏南京 211189

基金项目: 国家自然科学基金（51978166）；华南理工大学亚热带建筑科学国家重点实验室开放基金（2020ZA02）

详细信息

作者简介:
张永杰（1997－　），男，硕士研究生，youngjayyx@163.com

通讯作者:
陈　力（1982－　），男，博士，教授，li.chen@seu.edu.cn

中图分类号: O347; TU17
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- 被引次数: 0
出版历程
- 收稿日期: 2021-11-09
- 修回日期: 2022-05-17
- 网络出版日期: 2022-05-20
- 刊出日期: 2022-10-31

Rate correlation of the ABAQUS damage parameter in the concrete damage plasticity model and its realization method

1.
School of Civil Engineering, Suzhou University of Science and Technology, Suzhou 215011, Jiangsu, China
2.
Engineering Research Center of Safety and Protection of Explosion & Impact of Ministry of Education, Southeast University, Nanjing 211189, Jiangsu, China

摘要

摘要: ABAQUS程序中最常用的混凝土损伤塑性（concrete damage plasticity, CDP）模型无法实现损伤因子与应变率相关。为了准确描述混凝土材料在高应变率下的损伤特性，基于CDP模型定义了新的应变率场变量，编制了VUSDFLD用户子程序，开发了能够考虑损伤因子率相关性的改进的CDP（modified CDP，MCDP）模型。MCDP模型采用能量法求解混凝土拉压损伤因子，主求解程序能够随着应变率场变量的变化而自动更新不同应变率对应的损伤参数，计算得到的混凝土单轴静态加载结果与CDP模型吻合较好。MCDP模型对高应变率下动态压缩性能的模拟结果表明：混凝土材料在不同应变率下的拉压损伤对其动态力学性能有显著影响，编制的VUSDFLD子程序和MCDP模型能够有效地解决损伤应变率相关的模拟难题，可以准确地模拟爆炸荷载作用下钢筋混凝土梁的动态响应，为预测爆炸冲击等强动载作用下混凝土结构的响应和破坏提供了更可靠的技术途径。
- 应变率效应 /
- 混凝土 /
- 损伤因子 /
- ABAQUS程序 /
- 损伤塑性模型
Abstract: The concrete damage plasticity (CDP) model, as commonly adopted in ABAQUS routine, fails to correlate damage parameters with strain rate. To accurately describe the damage of concrete under high strain rate, a modified CDP (MCDP) model considering the rate correlation of damage parameters was developed by defining a new strain rate field variable and compiling VUSDFLD subroutine. In the MCDP model, the tensile and compressive damage parameters can be obtained by the energy method, and the main solver can automatically update the damage parameters under different strain rates with the change of strain rate field variables. Under static load, the results calculated by the MCDP model are in good agreement with those by the CDP model. The MCDP model was then used to calculate the dynamic compression performance of concrete under high strain rate, indicating that the tensile and compressive damage parameters of concrete under different strain rates have a significant influence on its dynamic mechanical properties. The compiled VUSDFLD subroutine and the MCDP model can solve the problem of the correlation between damage and strain rate, investigate the dynamic response of reinforced concrete beams accurately, and provide a more reliable technical way in predicting the response and destruction of the concrete structures under severe dynamic loading such as explosion and impact.
- rate-dependent effect /
- concrete /
- damage factor /
- ABAQUS routine /
- damage plasticity model

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图 1 混凝土塑性损伤模型的单轴应力-应变曲线

Figure 1. Uniaxial stress-strain curves of CDP model

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图 2 混凝土单轴应力-应变曲线

Figure 2. Uniaxial stress-strain curve of concrete

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图 3 Najar线性损伤塑性模型

Figure 3. Najar’s linear damage plastic model

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图 4 ABAQUS二次开发流程图

Figure 4. Flow chart of secondary development of ABAQUS

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图 5 VUSDFLD子程序计算流程图

Figure 5. Flow chart of the user subroutine VUSDFLD

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图 6 有限元模型

Figure 6. Finite element model

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图 7 混凝土的动态应力-应变关系曲线

Figure 7. Concrete’s dynamic stress-strain curves

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图 8 不同应变率下的损伤因子

Figure 8. Damage factors under different strain rates

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图 9 两种模型得到的真实应力-真实应变曲线的对比

Figure 9. Comparison between true stress-true strain curves calculated by two models

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图 10 恒定应变率单轴压缩动态加载的应力-应变曲线

Figure 10. Stress-strain curves under uniaxial compression with constant strain rate

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图 11 工况A和B的变应变率单轴压缩动态加载应力-应变曲线

Figure 11. Stress-strain curves of case A and case B under uniaxial compression with varying strain rate

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图 12 工况C和D的预测动态压缩应力-应变曲线

Figure 12. Predicted dynamic compressive stress-strain curves of case A and case D

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图 13 混凝土梁的有限元模型

Figure 13. Finite element model of concrete beam

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图 14 梁爆炸荷载简化模型

Figure 14. Simplified blast load model of beam

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图 15 跨中位移计算结果与试验结果的对比

Figure 15. Comparison between simulation results and test result of mid-span displacement

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表 1 MCDP模型参数

Table 1. Parameters of the MCDP model

膨胀角/ （°）	流动势偏移量	双轴与单轴抗压强度之比	不变量应力比	黏性系数
30	0.1	1.16	0.6667	0.0005

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表 2 不同应变率下的C30混凝土动态强度

Table 2. Dynamic strengths of C30 concrete under different strain rates

应变率/s⁻¹	抗压动态增长因子	动态抗压强度/MPa	抗拉动态增长因子	动态抗拉强度/MPa
10⁻⁵	1.023	20.56	1.138	2.29
10⁻⁴	1.055	21.20	1.175	2.36
10⁻³	1.169	23.49	1.307	2.63
10⁻²	1.295	26.02	1.453	2.92
10⁻¹	1.434	28.82	1.616	3.25
1	1.588	31.93	1.796	3.61
10	1.760	35.37	1.997	4.01
100	2.775	55.78	3.154	6.34

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表 3 变应变率加载工况参数

Table 3. Parameters for variational strain-rate cases

工况	模型	时段1/ms	应变率1/s⁻¹	时段2/ms	应变率2/s⁻¹	时段3/ms	应变率3/s⁻¹
A	MCDP	0～1.5	1	>1.5	100	—	—
A	CDP	0～1.5	1	>1.5	100	—	—
B	MCDP	0～0.15	10	>0.15	100	—	—
B	CDP	0～0.15	10	>0.15	100	—	—
C	MCDP	0～0.13	10	0.13～0.15	100	>0.15	10
C	CDP	0～0.13	10	0.13～0.15	100	>0.15	10
D	MCDP	0～0.005	100	0.005～0.055	10	>0.055	100
D	CDP	0～0.005	100	0.005～0.055	10	>0.055	100

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