ECC单轴受拉损伤本构模型研究

李可; 赵大鹏; 刘伟康; 范家俊

doi:10.6052/j.issn.1000-4750.2021.07.0542

ECC单轴受拉损伤本构模型研究

doi: 10.6052/j.issn.1000-4750.2021.07.0542

李可^1,,
赵大鹏^1,,
刘伟康^2,,
范家俊^1, ,

1.
郑州大学土木工程学院，河南，郑州 450001
2.
哈尔滨工业大学土木工程学院，黑龙江，哈尔滨 150006

基金项目: 国家自然科学基金青年项目(51708511，51608489)；国家自然科学基金面上项目(51879243)；国家自然科学基金委河南联合基金项目(U1804137)；中国博士后科学基金项目(2021TQ0302)

详细信息

作者简介:
李　可(1985−)，女，河南商丘人，副教授，博士，主要从事结构工程研究(E-mail: irwinlike@163.com)

赵大鹏(1995−)，男，河南驻马店人，博士生，主要从事结构工程研究(E-mail: 1410562524@qq.com)

刘伟康(1992−)，男，黑龙江大庆人，博士生，主要从事结构工程研究(E-mail: hitlek@163.com)

通讯作者:
范家俊(1990−)，男，河南开封人，讲师，博士，主要从事结构工程研究(E-mail: jiajun.fan@zzu.edu.cn)

中图分类号: TU528.58
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- 被引次数: 0
出版历程
- 收稿日期: 2021-07-15
- 录用日期: 2021-12-31
- 修回日期: 2021-11-04
- 网络出版日期: 2021-12-31
- 刊出日期: 2022-12-01

RESEARCH ON DAMAGE CONSTITUTIVE MODEL OF ENGINEERED CEMENTITIOUS COMPOSITES UNDER UNIAXIAL TENSION

LI Ke^1
,,
ZHAO Da-peng^1
,,
LIU Wei-kang^2
,,
FAN Jia-jun^{1
, ,}

1.
School of Civil Engineering, Zhengzhou University, Zhengzhou, He’nan 450001, China
2.
School of Civil Engineering, Harbin Institute of Technology, Harbin, Heilongjiang 150006, China

摘要

摘要: 通过单轴拉伸试验，讨论了PVA纤维体积掺入量和水胶比对工程用水泥基复合材料(ECC)受拉力学性能参数(开裂应变、开裂应力、峰值应变、峰值应力、极限应变以及应力-应变关系曲线)的影响规律。基于此，从损伤力学的角度讨论了ECC在单轴受拉过程的开裂前阶段、应变硬化阶段以及应变软化阶段的损伤演化机制。进而，基于ECC受拉损伤演化机制提出ECC受拉损伤本构模型，并给出模型相关参数的计算方法，分析表明：该文提出损伤模型得到的ECC受拉损伤演化曲线能更为合理的描述ECC的损伤演化全过程。最后，该文损伤模型计算的ECC受拉应力-应变关系曲线和试验曲线对比结果表明，所提出的模型能够合理的描述ECC受拉非线性应力-应变关系特征，且具有良好的精度。
- 工程用水泥基复合材料 /
- 拉伸性能 /
- 损伤模型 /
- 应力-应变关系 /
- 非线性行为
Abstract: The effects of polyvinyl alcohol (PVA) fiber volume and water-binder ratio on tensile mechanical properties (cracking strain, cracking stress, peak strain, peak stress, ultimate strain and stress-strain relationship) of Engineered Cementitious Composites (ECC) were investigated through uniaxial tensile test. Based on test results, the damage evolution mechanism of ECC during the pre-cracking stage, strain hardening stage and strain softening stage of uniaxial tension process was discussed from the perspective of damage mechanics. Furthermore, based on the ECC tensile damage evolution mechanism, the ECC tensile damage constitutive model was proposed, and the calculation method of the model parameters was given. The analysis result shows that the ECC tensile damage evolution curve calculated by the proposed model can reflect the whole process of ECC damage more reasonably. Finally, Comparisons between the tensile stress-strain relationship curve calculated by the proposed model and the test curve demonstrate that the model can reasonably describe the nonlinear tensile stress-strain relationship of ECC and has good accuracy.
- engineered cementitious composites /
- tensile properties /
- damage model /
- stress-strain relationship /
- nonlinear behavior

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图 1 加载装置与试件尺寸　/mm

Figure 1. Test setup and specimen size

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图 2 典型拉伸应力-应变曲线

Figure 2. Typical tensile stress-strain curve

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图 3 应力-应变曲线特征与损伤演化机制

Figure 3. Stress-strain characteristics and damage evolution mechanism

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图 4 本文损伤因子与损伤演化曲线的定义

Figure 4. Definition of damage variable and damage evolution curve in this paper

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图 5 损伤模型系数b和A与PVA纤维体积掺入量v和水胶比r的关系

Figure 5. The relationship between damage parameters (b and A) and PVA fiber volume v and water-binder ratior

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图 6 ECC受拉损伤演化曲线的验证

Figure 6. Verification of ECC tensile damage evolution curve

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图 7 ECC受拉应力-应变关系验证

Figure 7. Verification of ECC tensile stress-strain curve

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表 1 ECC配合比

Table 1. ECC mix proportion /kg

组号	水泥	砂	粉煤灰	微硅粉	水	PVA纤维	减水剂
A	1.000	0.500	2.000	0.073	0.860	0.029	0.041
B	1.000	0.500	2.000	0.073	0.860	0.044	0.041
C	1.000	0.500	2.000	0.073	0.738	0.057	0.041
D	1.000	0.500	2.000	0.073	0.768	0.057	0.041
E	1.000	0.500	2.000	0.073	0.860	0.057	0.041
注：PVA纤维密度为1300 kg/m³；ECC密度取2000 kg/m³。

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表 2 试验结果

Table 2. Test results

组号	PVA纤维体积掺量v	水胶比r	开裂应变ε_k/(%)	开裂应力 σ_k/MPa	峰值应变ε_p/(%)	峰值应力 σ_p/MPa	极限应变ε_u/(%)
A	0.01	0.28	0.04	1.89	0.55	2.48	1.98
B	0.015	0.28	0.05	1.93	0.69	2.96	2.51
C	0.02	0.24	0.04	3.44	0.50	4.57	2.23
D	0.02	0.25	0.07	2.90	0.82	3.95	2.79
E	0.02	0.28	0.09	2.01	2.20	2.97	3.95

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表 3 损伤模型系数

Table 3. damage model coefficients

组号	b	A	k	B	C
A	0.941	0.199	0.195	0.123	−0.024
B	0.879	0.113	0.195	0.115	−0.002
C	0.915	0.197	0.127	0.005	0.010
D	0.863	0.107	0.150	0.063	−0.007
E	0.775	0.066	0.218	−0.709	0.982

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表 4 验证组试验结果与损伤模型系数

Table 4. Test results and damage model coefficients of the verification groups

组号	PVA纤维体积掺量v	水胶比r	开裂应变ε_k/(%)	开裂应力 σ_k/MPa	峰值应变ε_p/(%)	峰值应力 σ_p/MPa	极限应变ε_u/(%)
VA	0.01	0.28	0.02	2.17	0.47	2.76	1.89
VB	0.015	0.28	0.03	2.48	0.86	3.06	2.53
VD	0.02	0.25	0.05	2.52	1.37	3.71	3.15
VE	0.02	0.28	0.07	2.54	2.01	3.35	4.02

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表 5 验证组损伤模型系数b、A与计算值

Table 5. Comparison of b and A of the verification group with the calculated values

组号	损伤模型系数b₀实测值	损伤模型系数b计算值	b₀/b	损伤模型系数A₀实测值	损伤模型系数A计算值	A₀/A
VA	0.993	0.949	1.046	0.216	0.194	1.113
VB	0.915	0.864	1.059	0.141	0.123	1.148
VD	0.880	0.872	1.009	0.122	0.115	1.057
VE	0.816	0.779	1.047	0.046	0.052	0.876
平均值	−	−	1.04	−	−	1.05
变异系数	−	−	0.02	−	−	0.12

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