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    硫酸鹽侵蝕作用下纖維鋰渣混凝土裂縫的分形特征

    張廣泰 陳勇 魯海波 李雪藩

    張廣泰, 陳勇, 魯海波, 李雪藩. 硫酸鹽侵蝕作用下纖維鋰渣混凝土裂縫的分形特征[J]. 工程科學學報, 2022, 44(2): 208-216. doi: 10.13374/j.issn2095-9389.2020.09.10.001
    引用本文: 張廣泰, 陳勇, 魯海波, 李雪藩. 硫酸鹽侵蝕作用下纖維鋰渣混凝土裂縫的分形特征[J]. 工程科學學報, 2022, 44(2): 208-216. doi: 10.13374/j.issn2095-9389.2020.09.10.001
    ZHANG Guang-tai, CHEN Yong, LU Hai-bo, LI Xue-fan. Fractal characteristics of fiber lithium slag concrete cracks under sulfate attack[J]. Chinese Journal of Engineering, 2022, 44(2): 208-216. doi: 10.13374/j.issn2095-9389.2020.09.10.001
    Citation: ZHANG Guang-tai, CHEN Yong, LU Hai-bo, LI Xue-fan. Fractal characteristics of fiber lithium slag concrete cracks under sulfate attack[J]. Chinese Journal of Engineering, 2022, 44(2): 208-216. doi: 10.13374/j.issn2095-9389.2020.09.10.001

    硫酸鹽侵蝕作用下纖維鋰渣混凝土裂縫的分形特征

    doi: 10.13374/j.issn2095-9389.2020.09.10.001
    基金項目: 國家自然科學基金資助項目(51968070)
    詳細信息
      通訊作者:

      E-mail: zgtlxh@126.com

    • 中圖分類號: TU503

    Fractal characteristics of fiber lithium slag concrete cracks under sulfate attack

    More Information
    • 摘要: 為探究新型混凝土受硫酸鹽侵蝕后的力學性能,采用質量分數為5%的硫酸鹽溶液全浸泡加速侵蝕法,對11組聚丙烯纖維混凝土(PC)試塊、11組聚丙烯纖維鋰渣混凝土(PLiC)試塊、8根PC大偏心受壓柱和8根PLiC大偏心受壓柱進行侵蝕試驗,得到了不同侵蝕時間下混凝土的力學性能。基于分形理論分析了試塊及構件破壞時表面裂縫分布的分形特征,詳細討論了試塊及構件表面裂縫分形維數與其侵蝕時間、抗壓強度、極限承載力之間的關系。研究表明,PC和PLiC立方體抗壓強度隨侵蝕天數先增加后降低,在120 d達到最大;試塊及構件破壞時表面裂縫分布具有分形特征,試塊表面裂縫分形維數隨侵蝕天數的增加呈現先增加后減少再增加的規律,隨試塊抗壓強度的提高而減少;PC及PLiC混凝土大偏心柱極限承載力隨侵蝕天數的增加先增加后減少,鋰渣的摻入可以提高聚丙烯纖維混凝土柱的抗硫酸鹽侵蝕能力,構件破壞時表面裂縫分形維數隨硫酸鹽侵蝕天數呈現震蕩上升的趨勢;因此混凝土表面裂縫的分形特征可作為判定構件損傷程度的指標之一,可為今后對在役混凝土結構承載力和壽命預測提供參考。

       

    • 圖  1  試件尺寸及配筋

      Figure  1.  Specimen size and reinforcement

      圖  2  混凝土柱侵蝕及試驗圖。(a)已施加荷載的鋼筋混凝土柱;(b)混凝土柱大偏心受壓試驗

      Figure  2.  Corrosion and test of reinforced concrete column: (a) loaded reinforced concrete column; (b) large eccentric compression test of reinforced concrete column

      圖  3  不同侵蝕時間下的聚丙烯纖維鋰渣混凝土外觀形貌。(a)0 d;(b)30 d;(c)60 d;(d)90 d;(e)120 d;(f)150 d

      Figure  3.  Appearance morphology of polypropylene fiber lithium slag concrete under different erosion times: (a) 0 d; (b) 30 d; (c) 60 d; (d) 90 d; (e) 120 d; (f) 150 d

      圖  4  PC混凝土柱和PLiC混凝土柱破壞形態

      Figure  4.  Failure modes of PC concrete column and PLiC concrete column

      圖  5  PLiC試塊破壞裂縫圖

      Figure  5.  Failure fracture diagram of PLiC test block

      圖  6  PLiC試塊裂縫lnN(r)?ln(1/r)曲線

      Figure  6.  lnN(r)?ln(1/r) curve of PLiC test block crack

      圖  7  不同侵蝕時間下立方體抗壓強度

      Figure  7.  Compressive strength of cube at different times of erosion

      圖  8  侵蝕天數與分形維數的關系

      Figure  8.  Relationship between erosion days and fractal dimension

      圖  9  試塊抗壓強度與分形維數的關系

      Figure  9.  Relationship between the compressive strength of test block and fractal dimension

      圖  10  PLiC?30受壓柱破壞裂縫圖

      Figure  10.  Failure fracture diagram of PLiC?30 compression column

      圖  11  PLiC?30受壓柱裂縫lnN(r)?ln(1/r)曲線

      Figure  11.  lnN(r)?ln(1/r) curve of PLiC?30 compression column crack

      圖  12  構件極限承載力與侵蝕天數

      Figure  12.  Ultimate bearing capacity and erosion days of members

      圖  13  侵蝕天數與分形維數的關系

      Figure  13.  Relationship between erosion days and fractal dimension

      圖  14  分形維數與極限承載力的關系

      Figure  14.  Relationship between fractal dimension and ultimate bearing capacity

      表  1  鋰渣粉末主要成分

      Table  1.   Main components of lithium slag powder %

      Chemical compositionSiO2AI2O3Fe2O3SO3CaOLi2O
      Mass fraction54.301.801.408.307.900.70
      下載: 導出CSV

      表  2  聚丙烯纖維參數

      Table  2.   Parameters of polypropylene fibers

      Fiber typeLength/mmDensity/(g·cm?3)Tensile strength/MPaDiameter/μmElasticity modulus/GPa
      Polyprorylene fiber190.9153033>3.5
      下載: 導出CSV

      表  3  混凝土配合比

      Table  3.   Mix proportions of concrete

      Type of test
      block
      Polypropylene fiber/
      (kg·m?3)
      Lithium slag/
      %
      Cement/
      (kg·m?3)
      Cobblestone/
      (kg·m?3)
      Sand/
      (kg·m?3)
      Water/
      (kg·m?3)
      Water reducer/
      (kg·m?3)
      PC1.203821161682172.81.92
      PLiC1.2203081161682172.81.92
      下載: 導出CSV

      表  4  不同侵蝕時間下試塊抗壓強度及裂縫分形維數

      Table  4.   Compressive strength and fracture fractal dimension of test block under different erosion times

      Type of test blockCube compressive strength /MPaFractal dimensionR2Type of test blockCube compressive strength /MPaFractal dimensionR2
      PC?041.31.4070.982PC?sulfate?041.31.4070.988
      PC?3042.71.4250.991PC?sulfate?3042.01.4150.987
      PC?6043.91.4350.994PC?sulfate?6043.41.4020.995
      PC?9046.61.4510.991PC?sulfate?9045.01.3960.994
      PC?12057.81.3790.982PC?sulfate?12054.31.3640.981
      PC?15054.31.3750.993PC?sulfate?15051.61.4380.989
      PLiC?043.91.3910.991PLiC?sulfate?043.91.3910.985
      PLiC?3044.71.4010.989PLiC?sulfate?3044.01.4020.993
      PLiC?6049.71.4740.992PLiC?sulfate?6045.81.3560.987
      PLiC?9052.31.4410.987PLiC?sulfate?9049.51.3650.986
      PLiC?12059.61.4250.994PLiC?sulfate?12057.51.3850.993
      PLiC?15055.31.4830.992PLiC?sulfate?15055.81.4350.991
      Note:PC?sulfate?30 represents that polypropylene fiber concrete corroded in sodium sulfate solution for 30 days.
      下載: 導出CSV

      表  5  PC和PLiC大偏心受壓柱承載力及破壞裂縫分形維數

      Table  5.   Bearing capacity of large eccentric compress reinforced concrete column and fractal dimension of failure crack

      Type of test blockUltimate load/ kNFractal dimensionR2Type of test blockUltimate load/ kNFractal dimensionR2
      PC?0?01751.2610.997PLiC?0?01801.2530.991
      PC?30?0.11801.2240.991PLiC?30?0.11941.2330.993
      PC?60?0.11881.1420.995PLiC?60?0.12001.1330.994
      PC?90?0.11921.3420.993PLiC?90?0.12051.2910.995
      PC?120?0.12001.2120.994PLiC?120?0.12201.1810.991
      PC?150?0.11851.2650.997PLiC?150?0.12051.3240.996
      PC?90?0.21981.2280.996PLiC?90?0.22201.2670.994
      PC?90?0.351751.2790.994PLiC?90?0.351821.2650.993
      Note:PC?30?0.1 represents polypropylene fiber concrete with stress ratio of 0.1 and erosion days of 30 d.
      下載: 導出CSV
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    • 收稿日期:  2020-09-08
    • 網絡出版日期:  2021-01-04
    • 刊出日期:  2022-02-15

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