留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

基于分形理论的冻融荷载耦合作用下纤维混凝土抗压强度研究

孙杰 申紫豪 廖海峰

孙杰, 申紫豪, 廖海峰. 基于分形理论的冻融荷载耦合作用下纤维混凝土抗压强度研究[J]. 复合材料学报, 2024, 42(0): 1-10.
引用本文: 孙杰, 申紫豪, 廖海峰. 基于分形理论的冻融荷载耦合作用下纤维混凝土抗压强度研究[J]. 复合材料学报, 2024, 42(0): 1-10.
SUN Jie, SHEN Zihao, LIAO Haifeng. Investigation on compressive strength of fiber reinforced concrete subjected to the coupling effects of freeze-thaw cycling and loading utilizing fractal theory[J]. Acta Materiae Compositae Sinica.
Citation: SUN Jie, SHEN Zihao, LIAO Haifeng. Investigation on compressive strength of fiber reinforced concrete subjected to the coupling effects of freeze-thaw cycling and loading utilizing fractal theory[J]. Acta Materiae Compositae Sinica.

基于分形理论的冻融荷载耦合作用下纤维混凝土抗压强度研究

基金项目: 西南交通大学道路工程四川省重点实验室开放课题;湖北省住房和城乡建设厅(Zy2022o014)
详细信息
    通讯作者:

    孙杰,博士,副教授,研究方向为路基路面材料、新型建筑材料等 E-mail: sunjie@wust. edu.cn

  • 中图分类号: TU528

Investigation on compressive strength of fiber reinforced concrete subjected to the coupling effects of freeze-thaw cycling and loading utilizing fractal theory

Funds: The Open Research Fund of Highway Engineering Key Laboratory of Sichuan Province, Southwest Jiaotong University; Department of Housing and Uran-Rural Development of Hubei Province (Zy2022o014)
  • 摘要: 为了研究持续荷载与冻融循环耦合作用下纤维混凝土的抗压性能与分形维数值之间的关系,开展了不同压应力水平(0、0.3、0.5)作用下的纤维混凝土冻融循环试验。对冻融前后纤维混凝土裂缝进行分形特征研究,并基于分形理论研究了不同耦合作用下试件的抗压强度变化规律,建立了裂缝分形维数与抗压强度的演化方程。结果表明:随着冻融循环次数的增加,试件抗压强度逐渐减小。当冻融循环次数增加到160次,不同耦合应力水平下试件抗压强度损失率差异显著,其中在耦合应力水平为0.3时损失率最小为21.59%,耦合应力水平为0.5时损失率最大为33.58%。裂缝的分形维数与耦合作用有明显的线性关系,能够定量反映纤维混凝土的劣化规律,裂缝分形维数的数值越大,纤维混凝土冻融损伤越大,抗压强度越低。

     

  • 图  1  加载装置及耦合试验

    Figure  1.  Loading apparatus and coupled test

    图  2  冻融循环温度变化

    Figure  2.  Temperature change of the freeze-thaw cycle

    图  3  纤维混凝土试件冻融前后外观变化

    Figure  3.  Appearance changes of the fiber reinforced concrete specimens pre and post freeze-thaw

    图  4  纤维混凝土冻融循环前后破坏形态

    Figure  4.  Failure pattern of the fiber reinforced concrete pre and post freeze-thaw cycle

    图  5  纤维混凝土抗压强度损失率变化

    Figure  5.  Variation of the loss rate of the compressive strength of the fiber reinforced concrete

    图  6  网格盒子覆盖方法

    Figure  6.  Grid box coverage method

    图  7  各组纤维混凝土试件不同冻融循环次数后的lnN(r)-ln(r)关系曲线

    Figure  7.  lnN(r)-ln(r) curve after different freeze-thaw cycles in each group of the fiber reinforced concrete

    表  1  各组试件耦合应力

    Table  1.   Couple stress of each group

    Specimen setF-0F-0.3F-0.5
    Stress level00.3 f0.5 f
    Stress magnitude/MPa013.5622.6
    Notes: F-0 and F-0.3 and F-0.5 represent the different compressive stress levels and f represents the compressive strength of concrete specimens after 28 days.
    下载: 导出CSV

    表  2  纤维混凝土抗压强度

    Table  2.   Compressive strength of the fiber reinforced concrete

    Number of
    freeze-thaw
    cycles/times
    Compressive
    strength
    of F-0/MPa
    Compressive
    strength
    of F-0.3/MPa
    Compressive
    strength
    of F-0.5/MPa
    0 45.20 45.20 45.20
    20 44.18 45.13 44.94
    40 43.04 44.27 44.46
    60 41.99 42.56 42.28
    80 39.90 41.42 40.85
    100 38.29 39.81 38.57
    120 35.91 38.48 35.34
    140 33.73 36.96 32.87
    160 31.16 35.44 30.02
    下载: 导出CSV

    表  3  各组纤维混凝土试件分形维数值的参数

    Table  3.   The parameter values of fractal dimension for the fiber reinforced concrete specimens in each group

    Specimen seta/10-3b
    F-03.491.19
    F-0.33.311.16
    F-0.54.121.15
    Notes: a and b are parameter values of the fractal dimension
    下载: 导出CSV
  • [1] 关喜彬. 冻融循环周次对混杂纤维混凝土孔结构影响试验研究[J]. 复合材料科学与工程, 2022, (10): 38-43+49.

    GUAN Xibin. Experimental study on influence of freeze-thaw cycles on the pore structure of hybrid fiber reinforced concrete[J]. Composites Science and Engineering, 2022, (10): 38-43+49(in Chinese).
    [2] 潘书才, 岳翎, 赵成喜, 等. 纤维种类对混凝土的抗冻性能的影响[J]. 混凝土, 2021, (7): 75-77. doi: 10.3969/j.issn.1002-3550.2021.07.016

    PAN Shucai, YUE Ling, ZHAO Chengxi, et al. Influence of fiber types on frost resistance of concrete[J]. Concrete, 2021, (7): 75-77(in Chinese). doi: 10.3969/j.issn.1002-3550.2021.07.016
    [3] DONG Fangyuan, WANG Hanpeng, YU Jiangtao, et al. Effect of freeze-thaw cycling on mechanical properties of polyethylene fiber and steel fiber reinforced concrete[J]. Construction and Building Materials, 2021, 295: 123427. doi: 10.1016/j.conbuildmat.2021.123427
    [4] LU Jianguo, LIU Junni, YANG Huohai, et al. Experimental investigation on the mechanical properties and pore structure deterioration of fiber-reinforced concrete in different freeze-thaw media[J]. Construction and Building Materials, 2022, 350: 128887. doi: 10.1016/j.conbuildmat.2022.128887
    [5] 姚武. 聚丙烯腈纤维混凝土的低温性能[J]. 同济大学学报(自然科学版), 2004, 32(5): 627-631. doi: 10.3321/j.issn:0253-374X.2004.05.014

    YAO Wu. Properties of polyacrylonitrile fiber reinforced concrete at low temperatures[J]. Journal of Tongji University(Nature Science Edition), 2004, 32(5): 627-631(in Chinese). doi: 10.3321/j.issn:0253-374X.2004.05.014
    [6] 牛获涛, 姜磊, 白敏. 钢纤维混凝土抗冻性能试验研究[J]. 土木建筑与环境工程, 2012, 34(4): 80-84+98.

    NIU Ditao, JIANG Lei, BAl Min. Experimental analysis on the frost resistance of steel fiber reinforced conerete[J]. Journal of Civil Architectural & Environmental Engineering, 2012, 34(4): 80-84+98(in Chinese).
    [7] LUO San, BAI Tianwen, GUO Mingqin, et al. Impact of freeze-thaw cycles on the long-term performance of concrete pavement and related improvement measures: A Review[J]. Materials, 2022, 15(13): 4568. doi: 10.3390/ma15134568
    [8] YUAN Yuan, ZHAO Renda, Li Rui, et al. Frost resistance of fiber-reinforced blended slag and Class F fly ash-based geopolymer concrete under the coupling effect of freeze-thaw cycling and axial compressive loading[J]. Construction and Building Materials, 2020, 250: 118831. doi: 10.1016/j.conbuildmat.2020.118831
    [9] 孙杰, 冯川, 吴爽, 等. 持续荷载与冻融循环耦合作用下纤维混凝土损伤性能研究[J]. 硅酸盐通报, 2022, 9(8): 2728-2738. doi: 10.3969/j.issn.1001-1625.2022.8.gsytb202208014

    SUN Jie, FENG Chuan, WU Shuang, et al. Damage properties of fiber concrete under coupling effect of continuous loading and freeze-thaw cycles[J]. Bulletin of the Chinese Ceramic Society, 2022, 9(8): 2728-2738(in Chinese). doi: 10.3969/j.issn.1001-1625.2022.8.gsytb202208014
    [10] YIN Shiping, JING Lei, YIN Mengti, et al. Mechanical properties of textile reinforced concrete under chloride wet-dry and freeze-thaw cycle environments[J]. Cement and Concrete Composites, 2019, 96: 118-127. doi: 10.1016/j.cemconcomp.2018.11.020
    [11] 王春晓, 董建明, 李得胜. 基于孔结构分形的混杂纤维混凝土抗冻性能研究[J]. 硅酸盐通报, 2021, 40(11): 3608-3616.

    WANG Chunxiao, DONG Jianming, LI Desheng. Research on frost resistance of hybrid fiber reinforced concrete based on fractal theory of pore structure[J]. Bulletin of the Chinese Ceramic Society, 2021, 40(11): 3608-3616(in Chinese).
    [12] 张韦, 刘超, 刘化威, 等. 基于孔体积分形维数的稻壳灰混凝土冻融损伤劣化机制[J]. 复合材料学报, 2023, 40(8): 4733-4744.

    ZHANG Wei, LIU Chao, LIU Huawei, et al. Freeze-thaw damage deterioration mechanism of rice husk ash concrete based on pore volume fractal dimension[J]. Acta Materiae Compositae Sinica, 2023, 40(8): 4733-4744(in Chinese).
    [13] 赵燕茹, 刘芳芳, 王磊, 等, 基于孔结构的单面冻后混凝土抗压强度模型研究[J]. 建筑材料学报, 2020, 23(6): 1328-1336+1344.

    ZHAO Yanru, LIU Fangfang, WANG Lei, et al. Modeling of compressive strength of concrete based on pore structure under single-side freeze-thaw condition[J]. Journal of Building Materials. 2020, 23(6): 1328-1336+1344(in Chinese).
    [14] JIN Shanshan, ZHENG Guiping, YU Jing. A micro freeze-thaw damage model of concrete with fractal dimension[J]. Construction and Building Materials, 2020, 257: 119434. doi: 10.1016/j.conbuildmat.2020.119434
    [15] 覃潇, 申爱琴, 郭寅川, 等. 多场耦合下路面混凝土细观裂缝的演化规律[J]. 华南理工大学学报(自然科学版), 2017, 45(6): 81-88+102.

    QIN Xiao, SHEN Aiqin, GUO Yinchuan, et al. Evolution rule of microcosmic cracks in pavement concrete under multifield coupling[J]. Journal of South China University of Technology (Natural Science Edition), 2017, 45(6): 81-88+102(in Chinese).
    [16] GUO Yinchuan, SHEN Aiqin, HE Tianqin, et al. Micro-crack propagation behavior of pavement concrete subjected to coupling effect of fatigue load and freezing-thawing cycles[J]. Journal of Traffic and Transportation Engineering, 2016, 16(5): 1-9.
    [17] 董远, 胡光锐. 分形理论及其应用[J]. 数据采集与处理, 1997, 12(3): 187-191.

    DONG Yuan, HU Guangrui. Theory of fractal and its applications[J]. Journal of Data Acquisition and Processing, 1997, 12(3): 187-191(in Chinese).
    [18] 丁一宁, 马跃, 郝晓卫. 基于分形理论分析裂缝形态对纤维/混凝土渗透性的影响[J]. 复合材料学报, 2020, 37(11): 2908-2916.

    DING Yining, MA Yue, HAO Xiaowei. Investigation on effect of crack geometry on permeability of fiber/concrete based on fractal theory[J]. Acta Materiae Compositae Sinica, 2020, 37(11): 2908-2916(in Chinese).
    [19] 成盛, 金南国, 田野, 等. 混凝土裂缝特征参数的图形化定量分析新方法[J]. 浙江大学学报(工学版), 2011, 45(6): 1062-1066. doi: 10.3785/j.issn.1008-973X.2011.06.017

    CHENG Sheng, JIN Nanguo, TIAN Ye, et al. New graphi-c method for quantitatively analyzing characteristic para-meters of concrete cracks[J]. Journal of Zhejiang Univers-ity(Engineering Science), 2011, 45(6): 1062-1066(in Chinese). doi: 10.3785/j.issn.1008-973X.2011.06.017
    [20] 夏春, 刘浩吾. 混凝土细骨料级配的分形特征研究[J]. 西南交通大学学报, 2002, 37(2): 186-189. doi: 10.3969/j.issn.0258-2724.2002.02.018

    XIA Chun, LIU Haowu. Research on fractal characteristi-cs of the size-distribution of concrete aggregates[J]. Journ-al of Southwest Jiaotong University, 2002, 37(2): 186-189(in Chinese). doi: 10.3969/j.issn.0258-2724.2002.02.018
    [21] 王谦源, 胡京爽. 混凝土集料级配与分形[J]. 岩土力学, 1997, (3): 93-100.

    WANG Qianyuan, HU Jingshuang. Gradings of the concr-ete aggregates and fractals[J]. Rock and Soil Mechanics, 1997, (3): 93-100(in Chinese).
    [22] 于江, 吕旭滨, 秦拥军. 基于分形理论无腹筋混凝土梁的受剪性能[J]. 工程科学学报, 2021, 43(10): 1385-1396.

    YU Jiang, LV Xubin, QIN Yongjun. Experimental study on concrete beams without web reinforcement based on fractal theory[J]. Chinese Journal of Engineering, 2021, 43(10): 1385-1396(in Chinese).
    [23] ALIREZA AKHAVAN, SEYED-MOHAMMAD-HADI SHAFAATIAN, FARSHAD RAJABIPOUR. Quantifying the effects of crack width, tortuosity, and roughness on wa-ter permeability of cracked mortars[J]. Cement and Concr-ete Research, 2012, 42(2): 313-320. doi: 10.1016/j.cemconres.2011.10.002
    [24] 焦楚杰, 李习波, 程从密, 等. 基于分形理论的高强混凝土动态损伤本构关系[J]. 爆炸与冲击, 2018, 38(4): 925-930.

    JIAO Chujie, LI Xibo, CHENG Congmi, et al. Dynamic damage constitutive relationship of high strength concrete based on fractal theory[J]. Explosion and Shock Waves, 2018, 38(4): 925-930(in Chinese).
    [25] LI Li, TAO Jiacheng , ZHANG Yang, et al. Crack fractal analysis of fractured polyethylene fiber reinforced alkali activated mortar under flexural load[J]. Construction and Building Materials, 2022, 345: 128428.
    [26] 商效瑀, 杨经纬, 李江山. 基于CT图像的再生混凝土细观破坏裂纹分形特征[J]. 复合材料学报, 2020, 37(7): 1774-1784.

    SHANG Xiaoyu, YANG Jingwei, LI Jiangshan. Fractal c-haracteristics of meso-failure crack in recycled coarse ag-gregate concrete based on CT image[J]. Acta Materiae Compositae Sinica, 2020, 37(7): 1774-1784(in Chinese).
    [27] 中华人民共和国住房和城乡建设部. 普通混凝土配合比设计规程: JGJ 55-2011[S]. 北京: 中国建筑工业出版社, 2011.

    Ministry of Housing and Urban-Rural Development of the People's Republic of China. Specification for mix proport-ion design of ordinary concrete: JGJ 55-2011[S]. Beijing: China Architecture & Building Press, 2011(in Chinese).
    [28] 中华人民共和国住房和城乡建设部. 混凝土物理力学性能试验方法标准: GB/T 50081−2019[S]. 北京: 中国建筑工业出版社, 2019.

    Ministry of Housing and Urban-Rural Development of the People's Republic of China. Standard for test methods of concrete physical and mechanical properties: GB/T 50081−2019[S]. Beijing: China Architecture & Building Press, 2019(in Chinese).
    [29] 中华人民共和国住房和城乡建设部. 普通混凝土长期性能和耐久性能试验方法标准: GB/T 50082−2009[S]. 北京: 中国建筑工业出版社, 2009.

    Ministry of Housing and Urban-Rural Development of the People's Republic of China. Standard for test methods of long-term performance and durability of ordinary concrete: GB/T 50082−2009[S]. Beijing: China Architecture & Building Press, 2009(in Chinese).
    [30] 谢和平, 孙洪泉. 分形数学基础与分形在岩石力学中的应用[J]. 矿业世界, 1996, (4): 1-6.

    XIE Heping, SUN Hongquan. The foundation of fractal mathematics and its application in rock mechanics[J]. Mining World, 1996, (4): 1-6(in Chinese).
    [31] 范小春, 陈超, 袁云林, 等. 基于分形理论的BFRP筋混杂钢纤维超高性能混凝土短柱受压性能研究[J]. 混凝土, 2023, (9): 1-6. doi: 10.3969/j.issn.1002-3550.2023.09.001

    FAN Xiaochun, CHEN Chao, YUAN Yunlin, et al. Research on compressive performance of BFRP reinforced steel fiber ultra-high performance concrete short columns based on fractal theory[J]. Concrete, 2023, (9): 1-6(in Chinese). doi: 10.3969/j.issn.1002-3550.2023.09.001
    [32] 王铁成, 杨建江. 混凝土结构裂缝状态及其扩展的分形几何解析[J]. 大连理工大学学报, 1997, 0(S1): 79-83.

    WANG Tiecheng, YANG Jianjaing. Fractal geometry ana-lysis of appearance and propagation of crack in concrete structure[J]. Journal of Dalian University of Technology, 1997, 0(S1): 79-83(in Chinese).
  • 加载中
计量
  • 文章访问数:  106
  • HTML全文浏览量:  78
  • 被引次数: 0
出版历程
  • 收稿日期:  2023-12-14
  • 修回日期:  2024-03-29
  • 录用日期:  2024-04-04
  • 网络出版日期:  2024-04-29

目录

    /

    返回文章
    返回