混杂纤维增强应变硬化水泥基复合材料的拉伸本构关系

张聪; 夏超凡; 袁振; 李志华

doi:10.13801/j.cnki.fhclxb.20191114.001

混杂纤维增强应变硬化水泥基复合材料的拉伸本构关系

doi: 10.13801/j.cnki.fhclxb.20191114.001

张聪^{1, 2, ,},
夏超凡^1,,
袁振^1,,
李志华^1,

1.
江南大学　环境与土木工程学院，无锡 214000
2.
武汉理工大学　硅酸盐建筑材料国家重点实验室，武汉 430000

基金项目: 国家自然科学基金(51908247)；江苏省自然科学基金(BK20170192)；硅酸盐建筑材料国家重点实验室开放基金(SYSJJ2017-11)

详细信息

通讯作者:
张聪，博士，副教授，硕士生导师，研究方向为高性能纤维水泥基复合材料与结构　E-mail：zhangcong@jiangnan.edu.cn

中图分类号: TB332
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出版历程
- 收稿日期: 2019-08-04
- 录用日期: 2019-10-16
- 网络出版日期: 2019-11-14
- 刊出日期: 2020-07-15

Tension constitutive relationship of hybrid fiber reinforced strain hardening cementitous composites

ZHANG Cong^{1, 2
, ,},
XIA Chaofan^1
,,
YUAN Zhen^1
,,
LI Zhihua^1
,

1.
School of Environment and Civil Engineering, Jiangnan University, Wuxi 214000, China
2.
State Key Laboratory of Silicate Materials for Architectures, Wuhan University of Technology, Wuhan 430000, China

摘要

摘要: 钢纤维与聚乙烯醇纤维混杂增强应变硬化水泥基复合材料(SF-PVA/SHCC)的力学性能研究是近年来的热点问题之一，但目前依然欠缺能够完整描述SF-PVA/SHCC拉伸本构关系的理论模型。本文基于混凝土断裂力学和细观力学理论，通过考虑拉伸应力-应变曲线软化段及SF-PVA混杂纤维对SHCC拉伸性能的影响，提出一种新的可适用于SF-PVA/SHCC材料的单轴拉伸本构模型。为了验证模型的有效性，开展了SF-PVA/SHCC单轴拉伸性能试验，分析了纤维种类和掺量对SHCC拉伸强度、拉伸应变及拉伸韧性的影响。通过与试验数据对比发现，本文所提出的拉伸本构模型可以较好地预测SF-PVA/SHCC的拉伸应力-应变关系。
- 应变硬化水泥基复合材料 /
- 混杂 /
- 钢纤维 /
- 聚乙烯醇纤维 /
- 拉伸性能 /
- 本构模型
Abstract: Mechanical properties of steel fiber hybrid polyvinyl alcohol fiber reinforced strain hardening cementitious composites (SF-PVA/SHCC) have been one of the hot topics in recent years. However, there is still a lack of the theoretical model that can fully describe the constitutive relationship of SF-PVA/SHCC in tension. Based on the theory of fracture mechanics and micromechanics of concrete, a new uniaxial tension constitutive model for SF-PVA/SHCC was proposed by considering the softening stage of stress-strain curve and the effect of SF-PVA hybrid fibers on the tensile properties of SHCC. In order to verify the effectiveness of the proposed model, a series of single-axial tensile tests for SF-PVA/SHCC were performed. The influence of fiber type and fiber content on the tensile strength, tensile strain and tensile toughness of SHCC was analyzed. Through the comparison with the experimental results, it was found that the proposed model could well predict the tensile stress-strain relationship of SF-PVA/SHCC composite.
- strain hardening cementitious composite /
- hybrid /
- steel fiber /
- polyvinyl alcohol fiber /
- tensile property /
- constitutive model

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图 1 拉伸试验加载装置

Figure 1. Loading instrument for tensile test

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图 2 PVA/SHCC、SF/SHCC和SF-PVA/SHCC的拉伸应力-应变曲线

Figure 2. Tensile stress-strain curves of PVA/SHCC, SF/SHCC and SF-PVA/SHCC

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图 3 PVA/SHCC、SF/SHCC和SF-PVA/SHCC的平均开裂应力、极限应力、极限应变和拉伸韧性

Figure 3. Average cracking stress, ultimate stress, ultimate strain and tensile toughness of PVA/SHCC, SF/SHCC and SF-PVA/SHCC

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图 4 PVA/SHCC和SF-PVA/SHCC的双线和三线本构模型

Figure 4. Double-line and triple-line constitutive model of PVA/SHCC and SF-PVA/SHCC

σ_cu—Ultimate stress; ε_cu—Ultimate strain; σ_ss—Stable cracking stress; E_c—Elasticity modulus

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图 5 PVA/SHCC、SF/SHCC和SF-PVA/SHCC拉伸本构模型预测结果与试验结果对比

Figure 5. Comparison between predicted result and experimental result of tensile constitutive model for PVA/SHCC, SF/SHCC and SF-PVA/SHCC

I_{R_ν}—Fiber reinforcing index

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表 1 应变硬化水泥基复合材料(SHCC)中纤维的基本物理参数

Table 1. Basic physical parameters of fibers used in strain hardening cementitious composite (SHCC)

Fibers	Shape	Length/mm	Diameter/mm	Aspect ratio	Tensile strength/MPa	Elastic modulus/GPa	Density/(g·cm^–3)
SF	Hooked	13	0.2	65	2 000	200–210	7.8
PVA fiber	Straight	12	0.039	307	1 100	42.8	1.3
Notes: SF—Steel fiber; PVA—Polyvinyl alcohol.

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表 2 SHCC中纤维体积分数

Table 2. Volume fractions of different fibers in SHCC

Composite	Fiber group	Volume fraction of SF/vol%	Volume fraction of PVA fiber/vol%
PVA/SHCC	PVA2	0	2
SF/SHCC	SF2	2	0
SF-PVA/SHCC-1	SF0.25-PVA1.75	0.25	1.75
SF-PVA/SHCC-2	SF0.5-PVA1.5	0.5	1.5
SF-PVA/SHCC-3	SF0.75-PVA1.25	0.75	1.25
SF-PVA/SHCC-4	SF1-PVA1	1	1

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表 3 PVA/SHCC、SF/SHCC和SF-PVA/SHCC的极限应力、极限应变和拉伸韧性理论值与试验值对比

Table 3. Comparison between theoretical and experimental results of average ultimate stress, ultimate strain and tensile toughness for PVA/SHCC, SF/SHCC and SF-PVA/SHCC

Group	Ultimate stress/MPa			Ultimate strain/%			Tensile toughness/(N·mm·mm⁻³)
Group	Theor.	Exp.	Ratio	Theor.	Exp.	Ratio	Theor.	Exp.	Ratio
PVA/SHCC	4.75	4.97	0.956	3.13	3.07	1.021	12.91	13.02	0.992
SF/SHCC	8.45	8.51	0.993	0.63	0.49	1.286	9.25	9.14	1.012
SF-PVA/SHCC-1	4.92	4.69	1.049	2.67	2.45	1.090	11.68	11.86	0.985
SF-PVA/SHCC-2	5.13	4.91	1.045	1.91	1.75	1.091	8.73	9.88	0.884
SF-PVA/SHCC-3	5.22	4.81	1.085	1.40	1.48	0.946	9.96	9.90	1.006
SF-PVA/SHCC-4	4.12	3.95	1.043	1.11	1.03	1.078	7.09	6.97	1.017
Mean			1.028			1.085			0.983
SD			0.046			0.113			0.050
COV			0.045			0.104			0.051

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