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考虑初始空隙压密的岩石变形全过程本构模型

李修磊 陈洪凯 张金浩

李修磊, 陈洪凯, 张金浩. 考虑初始空隙压密的岩石变形全过程本构模型[J]. 西南交通大学学报, 2022, 57(2): 314-321. doi: 10.3969/j.issn.0258-2724.20200220
引用本文: 李修磊, 陈洪凯, 张金浩. 考虑初始空隙压密的岩石变形全过程本构模型[J]. 西南交通大学学报, 2022, 57(2): 314-321. doi: 10.3969/j.issn.0258-2724.20200220
LI Xiulei, CHEN Hongkai, ZHANG Jinhao. Statistical Damage Model for Whole Deformation and Failure Process of Rock Considering Initial Void Closure[J]. Journal of Southwest Jiaotong University, 2022, 57(2): 314-321. doi: 10.3969/j.issn.0258-2724.20200220
Citation: LI Xiulei, CHEN Hongkai, ZHANG Jinhao. Statistical Damage Model for Whole Deformation and Failure Process of Rock Considering Initial Void Closure[J]. Journal of Southwest Jiaotong University, 2022, 57(2): 314-321. doi: 10.3969/j.issn.0258-2724.20200220

考虑初始空隙压密的岩石变形全过程本构模型

doi: 10.3969/j.issn.0258-2724.20200220
基金项目: 国家自然科学基金(41807276)
详细信息
    作者简介:

    李修磊(1986—),男,副教授,博士,研究方向为岩土体力学特性,E-mail:hellolixiulei@163.com

  • 中图分类号: TU452

Statistical Damage Model for Whole Deformation and Failure Process of Rock Considering Initial Void Closure

  • 摘要:

    为了建立能够准确模拟岩石变形全过程的本构模型,深入分析了现有统计损伤模型难以描述岩石初始非线性变形阶段的局限性. 综合考虑岩石的变形机理,将岩石抽象为由空隙和骨架组成的材料,分析了岩石变形及空隙与骨架两部分变形之间的关系,提出了空隙应变比K的概念;利用岩石三轴试验结果,提出了岩石骨架和空隙两部分应变的计算方法,推导了K的演化方程;通过引入统计损伤理论,将岩石看作是由众多强度服从Weibull函数分布的微元组成,最终建立了能够反映岩石变形全过程的本构模型,并给出了模型相关参数的确定方法. 现有模型结果和试验结果比较分析表明:本文模型能够较好地模拟荷载作用下岩石变形破坏全过程的5个阶段,相关系数均在0.92以上,很好地解释了围压越大初始空隙压密阶段越短以及弹性模量、峰值强度和峰值应变均越大的力学行为特性.

     

  • 图 1  岩石破坏变形全过程示意

    Figure 1.  Whole failure and deformation process of rocks

    图 2  岩石变形分析模型

    Figure 2.  The deformation analysis model of rocks

    图 3  应力-应变试验曲线

    Figure 3.  Stress-strain test curve

    图 4  轴向应变差-偏应力曲线

    Figure 4.  Axial strain difference -deviatoric sress curve

    图 5  砂岩的三轴试验结果

    Figure 5.  Triaxial test results of sandstone

    图 6  轴向空隙应变随轴向应变的变化规律

    Figure 6.  Variation of void strain with axial strain

    图 7  损伤转换过程示意

    Figure 7.  Sketch of the damage transition process

    图 8  不同m值对应的损伤变量Dε/ε0的变化

    Figure 8.  Variation of damage variables D with ε/ε0 for different m

    图 9  Weibull分布参数ε0εc的关系

    Figure 9.  Relationship between peak strain εc and the parameter ε0 of Weibull distribution

    图 10  本文模型计算结果与试验曲线之间的比较

    Figure 10.  Comparison between the proposed constitutive model calculation values and experimental curves

    图 11  不同模型计算结果与试验值的比较

    Figure 11.  Different model calculations versus experimental curve

    表  1  岩石三轴试验参数

    Table  1.   Triaxial test parameters for rocks

    σ3
    /MPa
    E
    /MPa
    εa
    /%
    σc
    /MPa
    εc
    /%
    R
    /MPa
    013.720.48754.920.6970
    1014.680.443122.381.23557.7
    2016.170.425171.21.57101.5
    3018.120.409201.171.762123.8
    4019.280.374243.361.993154.9
    下载: 导出CSV

    表  2  本文岩石统计损伤模型参数

    Table  2.   Parameters of statistical damage model for rocks

    σ3 /MPaa1a2ε0/%mε0εc/%
    00.2036.3010.78214.2580.095
    100.2265.9651.3377.5760.102
    200.2525.6941.7144.7350.144
    300.2495.3791.8274.5810.065
    400.2175.2832.1344.2690.141
    下载: 导出CSV
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出版历程
  • 收稿日期:  2020-04-19
  • 录用日期:  2021-11-29
  • 修回日期:  2020-07-01
  • 网络出版日期:  2022-07-07
  • 刊出日期:  2020-09-16

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