橡胶混凝土单轴受压疲劳性能研究

薛刚; 朱浩君; 许胜; 刘利强

doi:10.6052/j.issn.1000-4750.2021.07.0539

橡胶混凝土单轴受压疲劳性能研究

doi: 10.6052/j.issn.1000-4750.2021.07.0539

内蒙古科技大学土木工程学院，包头 014010

基金项目: 国家自然科学基金项目(51868063)

详细信息

作者简介:
薛　刚(1968−)，男，内蒙古包头人，教授，博士，硕导，主要从事新型混凝土材料与结构研究(E-mail: xuegang-2008@126.com)

许　胜(1991−)，男，山东菏泽人，工程师，硕士，主要从事新型混凝土材料与结构研究(E-mail: xsh1991411@163.com)

刘利强(1981−)，男，山西大同人，硕士生，主要从事新型混凝土材料与结构研究(E-mail: 992107586@qq.com)

通讯作者:
朱浩君(1997−)，男，湖北武汉人，硕士生，主要从事新型混凝土材料与结构研究(E-mail: zhuhaojun456@126.com)

中图分类号: TU528.41
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出版历程
- 收稿日期: 2021-07-13
- 修回日期: 2021-09-22
- 网络出版日期: 2021-09-30
- 刊出日期: 2022-11-01

THE UNIAXIAL COMPRESSION FATIGUE PERFORMANCE OF RUBBER CONCRETE

School of Civil Engineering, University of Inner Mongolia Science and Technology, Baotou 014010, China

摘要

摘要: 为掌握橡胶混凝土单轴受压疲劳性能，用粒径为30目的橡胶颗粒以不同掺量代砂制备橡胶混凝土，进行等幅循环荷载单轴受压疲劳试验研究。采用Miner累积损伤理论定义损伤量，并建立橡胶混凝土疲劳应变的损伤模型。使用概率统计方法对橡胶混凝土疲劳寿命的试验结果进行可靠性分析，得到等幅循环荷载作用下橡胶混凝土单轴受压疲劳寿命分布规律。结果表明：应力水平相同时，橡胶混凝土的疲劳寿命优于普通水泥混凝土，且随橡胶掺量的增加，混凝土的疲劳寿命随之提高。橡胶混凝土的疲劳应变变化符合普通混凝土疲劳应变发展的三阶段规律，橡胶混凝土疲劳寿命服从对数正态分布。采用双对数方程对橡胶混凝土的疲劳寿命进行线性回归分析，可得到P-S-N曲线及疲劳极限强度。
- 橡胶混凝土 /
- 单轴受压 /
- 疲劳 /
- 累积损伤 /
- 可靠性
Abstract: To study the uniaxial stress fatigue performance of rubber concrete, equal cyclic load uniaxial stress fatigue tests were carried out. Rubber particles with a particle size of 30 meshes were used to replace sand by different dosages to prepare the rubber concrete. The Miner’s cumulative damage theory was used to define the damage quantity and establish the damage model of the rubber concrete fatigue strain. Probability and statistical methods are used to analyze the reliability of the test results of the fatigue life of rubber concrete. The distribution of the fatigue life of rubber concrete under uniaxial compressive constant amplitude cyclic loading is obtained. The results show that, with the same stress level, the fatigue life of rubber concrete is better than ordinary cement concrete and increases with the increase of rubber mixing quantity. The fatigue strain change of rubber concrete meets the three-stage law of ordinary concrete fatigue strain development. Its fatigue life follows the lognormal distribution. The linear regression analysis of the fatigue life of rubber concrete yields the P-S-N curve and fatigue limit strength.
- rubber concrete /
- uniaxial compression /
- fatigue /
- cumulative damage /
- reliability

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图 1 疲劳试验加载装置

Figure 1. Fatigue test loading device

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图 2 试件单轴受压疲劳破坏形态

Figure 2. Uniaxial compression fatigue failure form of test pieces

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图 3 疲劳裂纹扩展三阶段示意图

Figure 3. Three-stage schematic diagram of fatigue crack expansion

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图 4 最大疲劳应变曲线

Figure 4. Maximum fatigue strain curve

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图 5 疲劳寿命的对数正态分布

Figure 5. Lognormal distribution of fatigue life

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图 6 失效概率$ P $=0.5橡胶混凝土的双对数疲劳方程

Figure 6. Probability of failure$ P $=0.5 double logarithmic fatigue equation for rubber concrete

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表 1 水泥物理性能

Table 1. Cement physical properties

标准稠度用水量/(%)	细度80 μm /(%)	安定性(沸煮法)	凝结时间/min
标准稠度用水量/(%)	细度80 μm /(%)	安定性(沸煮法)	初凝	终凝
27	5.2	合格	205	270

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表 2 橡胶颗粒技术指标

Table 2. Technical index of rubber particles

橡胶粒径/目	平均粒度/μm	筛网粒径/μm	过筛率/ (%)	灰分/ (%)	丙酮抽出物/(%)	拉伸强度/MPa	拉断伸长率/(%)
30	562	600	≥90	≤8	≤8	≥15	≥500

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表 3 试件配合比

Table 3. Concrete mix ratio /(kg/m³)

橡胶掺量/(%)	橡胶	砂	水	水泥	粉煤灰	碎石	减水剂
0	0.0	790.0	154	300	40	1140	6.8
5	18.8	750.5	154	300	40	1140	7.5
10	37.7	711.0	154	300	40	1140	7.8
15	56.5	671.5	154	300	40	1140	8.2

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表 4 立方体抗压强度和轴心抗压强度

Table 4. Cube compressive strength and axial compressive strength /MPa

试件编号	立方体抗压强度	轴心抗压强度
NC0.45	53.6	39.4
CRC30-5	45.3	35.2
CRC30-10	39.5	28.3
CRC30-15	31.8	25.9

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表 5 疲劳寿命试验结果

Table 5. Fatigue life test results

试件编号	应力水平	疲劳寿命/次
NC0.45	0.6	11 6576	81 736	69 585
	0.7	49 674	37 052	30 922
	0.8	24 947	14 902	8 959
	0.9	6 422	4 788	2 383
CRC30-5	0.6	112 279	106 738	93 788
	0.7	75 982	68 292	61 772
	0.8	46 527	31 953	20 583
	0.9	7 209	4879	3 625
CRC30-10	0.6	178 128	162 152	146 691
	0.7	107 768	94 342	89 433
	0.8	62 927	53 286	41 773
	0.9	14 239	11 434	8 481
CRC30-15	0.6	235 247	214 231	192 964
	0.7	134 670	128 493	119 664
	0.8	97 281	90 918	83 185
	0.9	39 674	36 702	34 635

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表 6 疲劳寿命分布参数

Table 6. Fatigue life distribution parameters

编号	$ S $	${\hat {\mu} _\rm{s}}$	${\hat {\sigma} _\rm{s}}$	$ {R^2} $
NC0.45	0.6	4.941	0.175	0.906
	0.7	4.585	0.157	0.964
	0.8	4.174	0.332	1.000
	0.9	3.622	0.339	0.896
CRC30-5	0.6	5.017	0.062	0.881
	0.7	4.835	0.067	0.999
	0.8	4.495	0.265	0.996
	0.9	3.701	0.225	0.988
CRC30-10	0.6	5.209	0.063	0.999
	0.7	4.986	0.064	0.895
	0.8	4.715	0.134	0.976
	0.9	4.046	0.169	0.984
CRC30-15	0.6	5.329	0.065	0.998
	0.7	5.105	0.039	0.969
	0.8	4.956	0.051	0.986
	0.9	4.568	0.044	0.985

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表 7 疲劳寿命分布的Kolmogolov检验结果

Table 7. Results of Kolmogolov fit goodness test for fatigue life distribution

编号	应力水平	统计量$ {D_n} $观测值
NC0.45	0.6	0.614
	0.7	0.591
	0.8	0.599
	0.9	0.591
CRC30-5	0.6	0.591
	0.7	0.628
	0.8	0.595
	0.9	0.626
CRC30-10	0.6	0.595
	0.7	0.618
	0.8	0.595
	0.9	0.595
CRC30-15	0.6	0.599
	0.7	0.629
	0.8	0.595
	0.9	0.591

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表 8 橡胶混凝土不同失效概率下的疲劳寿命

Table 8. Fatigue life of rubber concrete with different failure probabilities

试件编号	应力水平	失效概率$ P $
试件编号	应力水平	0.05	0.1	0.2	0.3	0.4	0.5
NC0.45	0.6	44 807	52 028	57 323	62 145	78 864	87 241
	0.7	21 231	24 259	26 451	28 428	35 164	38 479
	0.8	4 230	5 614	6 745	7 859	12 340	14 940
	0.9	1 153	1 539	1 857	2 171	3 442	4 185
CRC30-5	0.6	82 145	86 593	89 607	92 197	100 285	103 923
	0.7	53 021	56 145	58 269	60 101	65 847	68 444
	0.8	11 435	14 327	16 584	18 734	26 841	31 259
	0.9	2 143	2 594	2 937	3 257	4 418	5 028
CRC30-10	0.6	127 153	134 217	139 008	143 130	156 017	161 822
	0.7	75 982	80 225	83 104	85 582	93 329	96 820
	0.8	31 156	34 937	37 632	40 036	48 058	51 925
	0.9	5 847	6 754	7 416	8 017	10 090	11 123
CRC30-15	0.6	166 813	176 311	182 759	188 312	205 697	213 539
	0.7	110 059	113 744	116 199	118 286	124 663	127 467
	0.8	74 353	77 663	79 888	81 790	87 671	90 289
	0.9	31 245	32 449	33 255	33 941	36 050	36 983

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