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基于细观数值模拟的玄武岩纤维泡沫混凝土力学性能

郭凌云 陈波 高志涵 缪云 牛瀚仪

郭凌云, 陈波, 高志涵, 等. 基于细观数值模拟的玄武岩纤维泡沫混凝土力学性能[J]. 复合材料学报, 2024, 42(0): 1-15.
引用本文: 郭凌云, 陈波, 高志涵, 等. 基于细观数值模拟的玄武岩纤维泡沫混凝土力学性能[J]. 复合材料学报, 2024, 42(0): 1-15.
GUO Lingyun, CHEN Bo, GAO Zhihan, et al. Mechanical properties of basalt fiber foam concrete based on microscopic numerical simulation[J]. Acta Materiae Compositae Sinica.
Citation: GUO Lingyun, CHEN Bo, GAO Zhihan, et al. Mechanical properties of basalt fiber foam concrete based on microscopic numerical simulation[J]. Acta Materiae Compositae Sinica.

基于细观数值模拟的玄武岩纤维泡沫混凝土力学性能

基金项目: 国家自然科学基金项目(52079049; 52239009);国家重点实验室基本科研业务费(522012272);国家资助博士后项目(GZC20230671); 江苏省卓越博士后项目(2023ZB703)
详细信息
    通讯作者:

    陈波,博士,教授,博士生导师,研究方向为水工混凝土新材料 E-mail: chenbo@hhu.edu.cn

  • 中图分类号: TU528; TB332

Mechanical properties of basalt fiber foam concrete based on microscopic numerical simulation

Funds: General Program of National Natural Science Foundation of China (52079049; 52239009); Basic Scientific Research Business Expenses of National Key Laboratories (522012272); National Funded Postdoctoral Program (GZC20230671); Jiangsu Province Outstanding Postdoctoral Program (2023ZB703)
  • 摘要: 为研究不同密度和纤维掺量的玄武岩纤维泡沫混凝土(BFRFC)的孔隙特征与单轴压缩力学性能,本文对两种密度下三种纤维掺量的试样进行X-CT与单轴压缩试验,分析实测孔隙和纤维分布特征,利用Matlab软件二次开发了BFRFC微观结构的三维重构模型,基于Hashin失效准则和损伤变量建立BFRFC的渐进损伤模型,并采用Comsol有限元软件进行单轴压缩试验仿真模拟。研究发现,BFRFC的孔隙直径服从对数正态分布,孔隙率和平均孔径随着密度的增加及纤维掺量的增多而减小;BFRFC内部的纤维极角主要集中在15°~90°之间,而方位角则在0°~360°之间均匀分布;基于微观结构所建立的BFRFC试样仿真模型,结合材料软化特性的渐进损伤模型,可以有效模拟BFRFC单轴压缩过程;BFRFC中玄武岩纤维的添加显著提升了材料的力学性能,包括峰值强度和吸能能力,且单轴压缩过程中材料内部力学响应从外层向内层进行逐层传递。

     

  • 图  1  试验材料

    Figure  1.  Experimental materials

    图  2  X-CT数据处理过程

    Figure  2.  X-CT data processing

    图  3  不同BFRFC试样的孔径分布特征

    Figure  3.  Features of pore size distribution for different BFRFC specimens

    图  4  各密度等级BFRFC的孔隙形状特征统计

    Figure  4.  Statistics of BFRFC pore shape characteristics for each density class

    图  5  BFRFC中玄武岩纤维的空间分布情况

    Figure  5.  Space distribution of basalt fibers in BFRFC

    图  6  参数控制的BFRFC建模流程及结果示意

    Figure  6.  Parameter-controlled BFRFC modeling process and results

    图  7  BFRFC数值模型的网格划分示意图

    Figure  7.  Schematic mesh delineation of the numerical model of BFRFC

    图  8  BFRFC单轴压缩仿真示意图

    Figure  8.  BFRFC uniaxial compression simulation schematic

    图  9  BFRFC材料本构关系

    Figure  9.  BFRFC material ontological relationship

    Point A represents the onset of material damage, point B corresponds to the damage state at any given moment, and point C represents the moment when the material is completely degraded; Ei0 and Eid denotes the initial elastic modulus and the hardening modulus of the material after yielding. εeq0, εeq and εeqf represents the yield strain, strain, and ultimate strain

    图  10  各BFRFC试样的应力-应变关系曲线

    Figure  10.  Stress-strain relationship curves for each BFRFC specimen

    图  11  A08和A10试样的吸能情况

    Figure  11.  Energy absorption of specimens A08 and A10

    图  12  BFRFC单轴压缩结果示意图

    Figure  12.  Schematic diagram of BFRFC uniaxial compression results

    图  13  BFRFC探针位置应力值变化情况

    Figure  13.  Variation of stress value at probe position of BFRFC

    表  1  玄武岩纤维增强泡沫混凝土的配合比及密度(kg/m3)

    Table  1.   Mix ratio and density of basalt fiber reinforced foam concrete (kg/m3)

    Sample No. Cement Water Basalt fiber Foam Wet density Dry density
    A08-0 416.67 208.33 0 35.49 944.31 868.03
    A08-0.15% 416.67 208.33 4.2 35.49 959.33 840.00
    A08-0.30% 416.67 208.33 8.4 35.49 1002.33 891.33
    A08-0.45% 416.67 208.33 12.6 35.49 965.33 846.00
    A10-0 743.05 371.53 0 21.83 1187.60 1075.05
    A10-0.15% 743.05 371.53 4.2 21.83 1240.33 1138.00
    A10-0.30% 743.05 371.53 8.4 21.83 1226.00 1073.00
    A10-0.45% 743.05 371.53 12.6 21.83 1235.67 1131.33
    Notes: Sample number A08-0.15% represents the design of dry density of 800 kg/m3 and the volume of basalt fiber mixed with 0.15%.
    下载: 导出CSV

    表  2  各组玄武岩纤维增强泡沫混凝土的孔隙率(%)

    Table  2.   Porosity (%) of each group basalt fiber reinforced foam concrete

    Density grade Fiber content X-CT analysis Saturated water absorption
    A08 0 15.43 15.87
    0.15% 14.91 15.29
    0.30% 14.44 14.84
    0.45% 14.02 13.75
    A10 0 10.94 11.51
    0.15% 10.39 10.45
    0.30% 10.54 10.92
    0.45% 9.93 10.75
    下载: 导出CSV

    表  3  BFRFC代表试样的孔隙尺寸特征

    Table  3.   Pore size features of representative BFRFC specimens

    Sample No.Fiber contentPorosity/%Pore diameter/μmDistribution parameters
    MaxMinAverage$\mu $$\sigma $
    A08015.434480.6144.54425.155.990.34
    0.15%14.914503.1344.54437.945.980.37
    0.30%14.444534.5744.54447.856.110.34
    0.45%14.024556.1744.54458.146.030.40
    A10010.943000.0644.54244.185.710.29
    0.15%10.393035.2544.54245.925.660.30
    0.30%10.543094.5444.54294.855.750.27
    0.45% 9.933136.8744.54307.145.770.32
    Notes: The minimum pore diameter of the measured BFRFC specimens is 44.54 μm due to the limitation of testing accuracy and resolution of the X-CT equipment. In fact, the minimum pore diameter of each specimen should be less than 44.54 μm and different from each other
    下载: 导出CSV

    表  4  计算机性能表

    Table  4.   Computer Performance Specifications

    Component Specifications
    Processor (CPU) AMD Ryzen Threadripper 3990 X<br> 32 cores / 64 threads<br> Base frequency :
    3.7 GHz<br>Max boost frequency: 4.5 GHz
    Graphics Processor (GPU) NVIDIA RTX 4090<br>VRAM: 24 GB GDDR6 X
    Memory (RAM) 256 GB DDR4 ECC<br>Frequency: 3200 MHz
    Primary Storage 2 TB NVMe SSD (Samsung 980 PRO)
    Secondary Storage 4 TB NVMe SSD (Samsung 970 EVO Plus)
    Mass Storage 10 TB HDD (Seagate IronWolf Pro)
    Operating System Windows 11 Pro or Ubuntu 22.04 LTS
    Motherboard ASUS ROG Zenith II Extreme Alpha<br>Supports multiple GPU slots (PCIe 4.0)<br>8 DIMM slots<br>USB 3.2<br>Wi-Fi 6<br>10 G Ethernet
    下载: 导出CSV

    表  5  三维Hashin失效准则判断标准

    Table  5.   Three-dimensional Hashin Failure Criteria

    Failure mode Standard of judgment
    Fiber tension ${\hat \sigma _{11}} \geqslant 0$ $F_{\text{f}}^{\text{t}} = {\left( {\dfrac{{{{\hat \sigma }_{11}}}}{{{X^{\text{T}}}}}} \right)^2} + \alpha {\left( {\dfrac{{{{\hat \tau }_{12}}}}{{{S^{\text{L}}}}}} \right)^2} \leqslant 1$
    Fiber compression${\hat \sigma _{11}} < 0$ $F_{\text{f}}^{\text{c}} = {\left( {\dfrac{{{{\hat \sigma }_{11}}}}{{{X^{\text{C}}}}}} \right)^2} \leqslant 1$
    Cement matrix tension ${\hat \sigma _{22}} \geqslant 0$ $F_{\text{m}}^{\text{t}} = {\left( {\dfrac{{{{\hat \sigma }_{22}}}}{{{Y^{\text{T}}}}}} \right)^2} + {\left( {\dfrac{{{{\hat \tau }_{12}}}}{{{S^{\text{L}}}}}} \right)^2} \leqslant 1$
    Cement matrix compression ${\hat \sigma _{22}} < 0$ $F_{\text{m}}^{\text{c}} = {\left( {\dfrac{{{{\hat \sigma }_{22}}}}{{2{S^{\text{T}}}}}} \right)^2} + \left[ {{{\left( {\dfrac{{{Y^{\text{C}}}}}{{2{S^{\text{T}}}}}} \right)}^2} - 1} \right] \cdot \dfrac{{{{\hat \sigma }_{22}}}}{{{Y^{\text{C}}}}} + {\left( {\dfrac{{{{\hat \tau }_{22}}}}{{{S^{\text{L}}}}}} \right)^2} \leqslant 1$
    Notes:$X_{\text{T}}^{}$ and ${X_{\text{C}}}$ represent the longitudinal tensile and compressive strengths, respectively; ${Y_{\text{T}}}$and ${T_{\text{C}}}$ denote the transverse tensile and compressive strengths of the specimen, respectively; ${S_{\text{L}}}$and${S_{\text{T}}}$ are the longitudinal and transverse shear strengths of the specimen, respectively; $\alpha $ is the coefficient of contribution of shear stress to fiber tension ($0 \leqslant \alpha \leqslant 1$); $\hat \sigma $ is the assessment coefficient for material damage.
    下载: 导出CSV

    表  6  各类损伤变量

    Table  6.   Impairment variables by category

    Damage patternValue of the damage variable
    Fiber material damage$D{}_1 = \phi \left( {\max \left\{ {F_{\text{f}}^{\text{t}},F_{\text{f}}^{\text{c}}} \right\}{\text{ }}} \right)$
    Cement matrix damage$D{}_2 = \phi \left( {\max \left\{ {F_{\text{m}}^{\text{t}},F_{\text{m}}^{\text{c}}} \right\}{\text{ }}} \right)$
    Composite shear damage${D_3} = 1 - (1 - {D_1})(1 - {D_2})$
    下载: 导出CSV

    表  7  各BFRFC试样的峰值强度差异(MPa)

    Table  7.   Differences in peak strength of each BFRFC specimen (MPa)

    Density grade Fiber content Simulation results Actual results Absolute error Relative error
    A08 0.15% 4.17 4.01 0.16 3.99%
    0.30% 5.02 5.50 0.48 8.73%
    0.45% 6.36 6.59 0.23 3.49%
    A10 0.15% 7.44 7.04 0.40 5.68%
    0.30% 8.12 8.33 0.21 2.52%
    0.45% 10.59 11.18 0.59 5.25%
    下载: 导出CSV
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    GAO Zhen, CAO Peng, SUN Xinjian, et al. Compressive strength analysis and microscopic characterization of basalt fiber reinforced concrete[J]. Journal of Hydroelectric Engineering, 2018, 37(8): 111-120 (in Chinese) doi: 10.11660/slfdxb.20180812
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  • 文章访问数:  26
  • HTML全文浏览量:  13
  • 被引次数: 0
出版历程
  • 收稿日期:  2024-04-24
  • 修回日期:  2024-06-13
  • 录用日期:  2024-06-23
  • 网络出版日期:  2024-07-06

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