ECC单轴拉伸疲劳变形特性及寿命预测

霍海峰; 刘汉磊; 杨雅静; 温升亮; 李长辉; 陈宇

doi:10.13801/j.cnki.fhclxb.20210729.002

ECC单轴拉伸疲劳变形特性及寿命预测

doi: 10.13801/j.cnki.fhclxb.20210729.002

1.
中国民航大学　交通科学与工程学院，天津 300300
2.
天津滨海国际机场有限公司，天津 300300

基金项目: 国家重点研发计划项目(NO.2020YFB1600100)；中央高校基金(3122019106)；天津交通运输委员会面上项目(2019-18)

详细信息

通讯作者:
刘汉磊，硕士，研究方向为复合材料的工程应用　E-mail：lhlcsy@126.com

中图分类号: TU5
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- 被引次数: 0
出版历程
- 收稿日期: 2021-06-03
- 修回日期: 2021-07-17
- 录用日期: 2021-07-20
- 网络出版日期: 2021-07-29
- 刊出日期: 2022-07-30

Fatigue deformation characteristics and life prediction of ECC under uniaxial tension

1.
School of Transportation Science and Engineering, Civil Aviation University of China, Tianjin 300300, China
2.
Tianjin Binhai International Airport Co., Ltd., Tianjin 300300, China

摘要

摘要: 工程水泥基复合材料(ECC)多用于结构的抗震补强，其疲劳性能是工程中关注的重点。利用疲劳试验机对ECC试件进行单轴拉伸循环加载试验，分析了动力变形、损伤模型和疲劳寿命的发展规律。结果表明：单向拉伸疲劳荷载下，ECC应力-应变曲线呈疏-密-疏特点；残余应变呈三阶段发展，采用六次多项式进行拟合描述，相关系数基本大于0.9；针对第二阶段定义应变率及应变增长率两个物理量，发现拉应力比越高，应变率越大，第二阶段循环比越短；应变增长率在0.0028~0.0098之间变化，其随着拉应力比的增加而减小。用疲劳变形模量定义损伤变量，建立以循环寿命比n/N=0.7为分界点的两阶段疲劳损伤演变方程。针对应力比S=0.85进行验证，评估疲劳损伤程度并预估剩余寿命，其与试验结果对比相关性较高。
- 工程水泥基复合材料 /
- 拉伸疲劳 /
- 疲劳变形 /
- 疲劳损伤 /
- 疲劳寿命预测
Abstract: Engineering cementitious composite (ECC) is widely used in structural seismic strengthening, and its fatigue performance is the focus of engineering. The uniaxial tensile cyclic loading test of ECC specimens was carried out by fatigue testing machine, and the development law of dynamic deformation, damage model and fatigue life was analyzed. The results show that under uniaxial tensile fatigue load, the stress-strain curve of ECC is sparse-dense-sparse. Residual strain develops in three stages and is described by six polynomial fitting. The correlation coefficient is basically greater than 0.9. Two physical quantities, strain rate and strain growth rate, are defined for the second stage. It is found that the higher the tensile stress ratio is, the larger the strain rate is and the shorter the cycle ratio is in the second stage. Strain growth rate varies from 0.0028 to 0.0098 and decreases with the increase of tensile stress ratio. The damage variable is defined by fatigue deformation modulus, and the two-stage fatigue damage evolution equation is established with the cycle life ratio n/N=0.7. The stress ratio S=0.85 was verified, and the fatigue damage degree of the specimen was evaluated and the remaining life was predicted, which was highly correlated with the test results.
- ECC /
- tensile fatigue /
- fatigue deformation /
- fatigue damage /
- fatigue life predict

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图 1 试件立体尺寸图(单位：mm)

Figure 1. Three-dimensional size drawing of test piece (Units: mm)

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图 2 试件拌和图

Figure 2. Sample mixing diagram

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图 3 试验概况图

Figure 3. Test overview diagram

σ_d—Dynamic stress amplitude

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图 4 ECC不同应力水平下的循环应力-应变曲线

Figure 4. Cyclic stress-strain curves of ECC under different stress levels

σ—Stress; ε—Strain; S—Stress ratio

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图 5 不同应力比ECC残余应变发展图

Figure 5. Development diagram of residual strain of ECC with different stress ratios

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图 6 ECC应变云图

Figure 6. Strain nephogram of ECC

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图 7 不同应力比下ECC应变与循环次数的线性关系图

Figure 7. Linear relationship between strain and cycle times of ECC under different stress ratios

ε_t—Strain rate

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图 8 ECC疲劳模量比随循环比变化曲线

Figure 8. Change curve of ECC fatigue modulus ratio with recycle ratio

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图 9 不同应力比下ECC损伤变量演变曲线

Figure 9. Damage variable evolution curves of ECC under different stress ratios

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图 10 不同应力比下ECC两阶段损伤变量拟合曲线

Figure 10. Two-stage damage variable fitting curves of ECC under different stress ratios

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表 1 聚乙烯醇(PVA)纤维的各项性能指标

Table 1. Various performance indexes of polyvinyl alcohol (PVA) fiber

Length/mm	Diameter/μm	Length-diameter ratio/10³	Tensile strength/MPa	Elastic modulus/GPa	Elongation/%	Density/(g·cm⁻³)
12	39	0.31	1600	39	17	0.91

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表 2 工程水泥基复合材料(ECC)试件配合比(kg/m³)

Table 2. Mix ratio of engineered cementitious composite (ECC) specimens (kg/m³)

Cement	Water	Sand	PVA fiber	Fly ash	Water-reducing admixture
380	190	190	26	253	10.1

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表 3 ECC残余应变拟合六次方程相关参数

Table 3. ECC residual strain fitting six-order equation related parameters

	a	b	c	d	e	f	g	R²
S=0.95	2.18	−6.15	6.57	−3.27	0.74	−0.05	0	0.993
S=0.90	0.02	0.48	−1.22	1.1	−0.43	0.07	0	0.973
S=0.85	0.91	−2.16	1.67	−0.37	−0.09	0.05	0	0.95
S=0.80	−0.035	0.4	−0.874	0.7654	−0.307	0.05969	0.00043	0.9268
S=0.75	−0.934	3.57	−5.129	3.47	−1.12	0.161	0.0059	0.8468
S=0.70	−1.54	5.23	−6.78	4.20	−1.27	0.18	0	0.950
Notes: S—Stress ratio; a-g—Equation coefficients; R²—Correlation coefficient.

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表 4 ECC残余应变拟合双对数方程相关参数

Table 4. Related parameters of ECC residual strain fitting double logarithmic equation

	a	b	R²
S=0.95	0.59	6.7	0.984
S=0.90	0.82	6.04	0.994
S=0.85	0.74	5.89	0.999
S=0.80	0.627	5.892	0.999
S=0.75	0.885	5.18	0.998
S=0.70	0.83	5.15	0.997

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表 5 不同应力比下的ECC第二阶段应变增长率

Table 5. The second-stage strain growth rate of ECC under different stress ratios

$ S $	Strain growth rate $ \varepsilon $
0.95	0.0028
0.90	0.0042
0.85	0.0045
0.80	0.0055
0.75	0.0068
0.70	0.0098

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表 6 ECC试验方程拟合参数与相关系数

Table 6. Fitting parameters and correlation coefficients of test equations for ECC

$S$	$ {a}_{1} $	$ {b}_{1} $	$ {c}_{1} $	$ {R}^{2} $	$ {D}_{0.7} $	$ {a}_{2} $	$ {b}_{2} $	$ {R}^{2} $
0.95	0.28	19.41	−0.11	0.971	0.642	0.01	4.04	0.997
0.90	0.25	37.04	−0.04	0.978	0.783	3.26×10^-14	29.52	0.996
0.85	0.06	6145.94	0.19	0.999	0.695	3.64×10^-39	87.25	0.977
0.80	0.05	84328.71	0.10	0.903	0.653	4.26×10^-20	43.37	0.935
0.75	0.07	25819.68	0.05	0.964	0.738	1.51×10^-24	53.26	0.842
0.70	0.21	37.81	0.02	0.925	0.713	8.57×10^-5	8.08	0.995
Notes: S—Stress ratio; a₁, a₂, b₁, b₂, c₁—Equation coefficients; R²—Correlation coefficient.

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表 7 ECC残余应变计算与疲劳寿命预测

Table 7. Residual strain calculation and fatigue life prediction of ECC

Cycle index n	Residual strain	Life prediction
1000	0.005580	4615.5
2 000	0.006567	4614.5
3000	0.007074	6264.4
4000	0.007896	5048.0

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表 8 ECC疲劳损伤变量计算与预测

Table 8. Calculation and prediction of fatigue damage variables of ECC

Model calculation	n/N	D*	Test result	n/N	D
n=1 000	0.21667	0.62169	n=1 000	0.1979	0.61626
n=2 000	0.43343	0.66322	n=2 000	0.3958	0.65783
n=3 000	0.47890	0.66926	n=3 000	0.5937	0.68214
n=4 000	0.79239	0.69500	n=4 000	0.7916	0.69500
Notes: D—Damage variables; D*—Prediction of damage variables.

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表 9 ECC模型预测结果与试验结果对比

Table 9. Comparison of model prediction results and test results of ECC

Stress level S=0.85	Life prediction/ Test life	Damage prediction/ Test damage
n=1000	0.9133	1.0088
n=2000	0.9132	1.0082
n=3000	1.2396	0.9812
n=4000	0.9990	1.0000

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