高围压下砂岩循环加-卸载损伤本构及损伤阈值

刘之喜

刘之喜. 高围压下砂岩循环加-卸载损伤本构及损伤阈值[J]. 高压物理学报, 2020, 34(4): 044203. doi: 10.11858/gywlxb.20190809
引用本文: 刘之喜. 高围压下砂岩循环加-卸载损伤本构及损伤阈值[J]. 高压物理学报, 2020, 34(4): 044203. doi: 10.11858/gywlxb.20190809
LIU Zhixi. Damage Constitutive of Cyclic Loading and Damage Threshold of Rock under High Confining Pressure[J]. Chinese Journal of High Pressure Physics, 2020, 34(4): 044203. doi: 10.11858/gywlxb.20190809
Citation: LIU Zhixi. Damage Constitutive of Cyclic Loading and Damage Threshold of Rock under High Confining Pressure[J]. Chinese Journal of High Pressure Physics, 2020, 34(4): 044203. doi: 10.11858/gywlxb.20190809

高围压下砂岩循环加-卸载损伤本构及损伤阈值

doi: 10.11858/gywlxb.20190809
基金项目: 国家自然科学基金(51404013)
详细信息
    作者简介:

    刘之喜(1992—),男,硕士,主要从事岩石非线性力学及能量演化研究. E-mail:17355486579@163.com

  • 中图分类号: TU457; O347.3

Damage Constitutive of Cyclic Loading and Damage Threshold of Rock under High Confining Pressure

  • 摘要: 在深部巷道掘进过程中,岩体受周期荷载和高地应力共同作用,一般的强度准则无法对岩石的应力-应变曲线进行描述和表征,而高地应力下岩石的循环加-卸载本构是预测深部巷道在周期荷载作用下长期稳定性的关键,因此关于高围压下岩石的本构研究具有一定的工程意义。岩石受外部荷载直至破坏的过程是旧裂纹扩展和新裂纹增长、扩展的过程,已有的研究表明,单位体积岩石裂纹数服从Weibull分布,Griffith准则认为岩石的破坏是由岩石的裂纹扩展所导致的,为此通过对Weibull建立的统计损伤本构扩展,基于裂纹数服从Weibull分布以及裂纹扩展服从Griffith准则,建立了高围压下岩石循环加-卸载统计损伤本构。通过本构的等式变换,对本构损伤阈值进行了研究,并进一步以砂岩的偶数次循环加-卸载试验数据对本构参数进行拟合,得到参数的演化规律,将本构理论值与砂岩奇数次循环加-卸载试验数据对比,验证了本构模型的正确性,为高围压下岩石的循环加-卸载本构研究提供了新的思路。

     

  • 图  不同围压下${{\textit{σ}} _1}$ε1曲线

    Figure  1.  Axial stress-strain curves under different confining pressures

    图  第1次循环加载曲线拟合及验证

    Figure  2.  Curve fitting and verification of the first cyclic loading

    图  循环加-卸载本构参数演化规律

    Figure  3.  Evolution of cyclic loading and unloading constitutive parameters

    图  围压与本构模型参数的关系

    Figure  4.  Relationship between confining pressure and constitutive model parameters

    图  奇数次循环的加-卸载曲线理论值与原始数据对比

    Figure  5.  Comparison of theoretical values of loading and unloading curves with original data for odd cycles

    表  1  围压为60 MPa时本构模型参数

    Table  1.   Parameters of constitutive model with confining pressure of 60 MPa

    MLoad parametersUnload parameters
    F0mF0m
    25.870 04–0.202 9821.330 95–0.141 14
    46.648 45–0.216 0323.502 82–0.137 86
    67.103 79–0.222 7724.513 79–0.136 14
    87.426 85–0.229 5125.231 08–0.134 94
    107.677 44–0.231 4026.171 96–0.133 82
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  • [1] 王伟, 田振元, 朱其志, 等. 考虑残余应力的砂岩损伤理论模型 [J]. 岩石力学与工程学报, 2015, 34(Suppl 2): 3676–3682.

    WANG W, TIAN Z Y, ZHU Q Z, et al. Study of statistical damage onstitutive model for rock considering waterpressure [J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(Suppl 2): 3676–3682.
    [2] 刘涛, 杨鹏, 吕文生, 等. 岩石在不同应力幅值下受低频循环扰动的力学特性试验 [J]. 煤炭学报, 2017, 40(9): 2280–2286.

    LIU T, YANG P, LÜ W S, et al. Rock mechanical properties experiments with low-frequency circulation disturbance under different stress amplitudes [J]. Journal of China Coal Society, 2017, 40(9): 2280–2286.
    [3] 何明明, 陈蕴生, 李宁, 等. 单轴循环荷载作用下砂岩变形特性与能量特征 [J]. 煤炭学报, 2015, 40(8): 1805–1812.

    HE M M, CHEN Y S, LI N, et al. Deformation and energy characteristics of sandstone subjected to uniaxial cyclic loading [J]. Journal of China Coal Society, 2015, 40(8): 1805–1812.
    [4] 姚强岭, 刘亚鹏, 陈田, 等. 地下水库人工坝体强度损伤演化特征试验研究 [J]. 煤炭学报, 2018, 43(4): 1111–1117.

    YAO Q L, LIU Y P, CHEN T, et al. Experimental study of damage evolution of aritifical dam strength of underground reservoir [J]. Journal of China Coal Society, 2018, 43(4): 1111–1117.
    [5] 谢和平, 高峰, 鞠杨, 等. 深部开采的定量界定与分析 [J]. 煤炭学报, 2015, 40(1): 1–10.

    XIE H P, GAO F, JU Y, et al. Quantitative definition and investigation of deep mining [J]. Journal of China Coal Society, 2015, 40(1): 1–10.
    [6] DEHLER W, LABUZ J F. Stress path testing of an anisotropic sandstone [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2007, 133(1): 116–119. doi: 10.1061/(ASCE)1090-0241(2007)133:1(116)
    [7] 王者超, 赵建纲, 李术才, 等. 循环荷载作用下花岗岩疲劳力学性质及其本构模型 [J]. 岩石力学与工程学报, 2012, 31(9): 1888–1900. doi: 10.3969/j.issn.1000-6915.2012.09.021

    WANG Z C, ZHAO J G, LI S C, et al. Fatigue mechanical behavior of granite subject to cyclic load and its constitutive model [J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(9): 1888–1900. doi: 10.3969/j.issn.1000-6915.2012.09.021
    [8] 易其康, 马林建, 刘新宇, 等. 考虑频率影响的盐岩变参数蠕变损伤模型 [J]. 煤炭学报, 2015, 40(Suppl 1): 93–99.

    YI Q K, MA L J, LIU X Y, et al. A variable parameters-based creep damage model considering the effect of frequency for rock salt [J]. Journal of China Coal Society, 2015, 40(Suppl 1): 93–99.
    [9] 霍润科, 李宁, 刘汉东. 受酸腐蚀砂岩的统计本构模型 [J]. 岩石力学与工程学报, 2005, 24(11): 1852–1856. doi: 10.3321/j.issn:1000-6915.2005.11.006

    HUO R K, LI N, LIU H D. Statistical constitutive model of sandsyone subjected to hydrochloric acid attack [J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(11): 1852–1856. doi: 10.3321/j.issn:1000-6915.2005.11.006
    [10] 李西蒙, 刘长友, 鲁岩, 等. 单轴分级循环加载条件下砂岩疲劳变形特性与损伤模型研究 [J]. 中国矿业大学学报, 2017, 46(1): 8–16.

    LI X M, LIU C Y, LU Y, et al. Fatigue deformation characteristics and damage model of sandston subjected to uniaxial step cyclic loading [J]. Journal of China University of Mining and Technology, 2017, 46(1): 8–16.
    [11] 曹文贵, 张升. 基于Mohr-Coulomb准则的岩石损伤统计分析方法研究 [J]. 湖南大学学报(自然科学版), 2005, 32(1): 43–47.

    CAO W G, ZHANG S. Study on the statistical analysis of rock damage based on Mohr-Coulomb criterion [J]. Journal of Hunan University (Natural Sciences), 2005, 32(1): 43–47.
    [12] 张平阳, 夏才初, 周舒威, 等. 循环加-卸载岩石本构模型研究 [J]. 岩土力学, 2015, 36(12): 3354–3359.

    ZHANG P Y, XIA C C, ZHOU S W, et al. Constitutive model for rock under cyclic loading and unloading [J]. Rock and Soil Mechanics, 2015, 36(12): 3354–3359.
    [13] 邓华锋, 胡玉, 李建林, 等. 循环加卸载过程中砂岩能量耗散演化规律 [J]. 岩石力学与工程学报, 2016, 35(Suppl 1): 2869–2875.

    DENG H F, HU Y, LI J L, et al. The evolution of sandstone energy dissipation under cyclic loading and unloading [J]. Chinese Journal of Rock Mechanics and Engineering, 2016, 35(Suppl 1): 2869–2875.
    [14] 刘树新, 刘长武, 韩小刚, 等. 基于损伤多重分形特征的岩石强度Weibull参数研究 [J]. 岩土工程学报, 2011, 33(11): 1786–1791.

    LIU S X,LIU C W, HAN X G, et al. Weibull distribution parameters of rock strength based on multi-fractal characteristics of rock damage [J]. Chinese Journal of Geotechnical Engineering, 2011, 33(11): 1786–1791.
    [15] 张媛, 许江, 杨红伟, 等. 循环荷载作用下围压对砂岩滞回环演化规律的影响 [J]. 岩石力学与工程学报, 2011, 30(2): 320–326.

    ZHANG Y, XU J, YANG H W, et al. Effect of confining pressure on evolution law of hysteresis loop of sandstone under cyclic loading [J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(2): 320–326.
    [16] 赵永川, 杨天鸿, 肖福坤, 等. 西部弱胶结砂岩循环载荷作用下塑性应变能变化规律 [J]. 煤炭学报, 2015, 40(8): 1813–1819.

    ZHAO Y C, YANG T H, XIAO F K, et al. The variation law of plastic strain energy of western weak cemented sandstone during cyclic loading experiment [J]. Journal of China Coal Society, 2015, 40(8): 1813–1819.
    [17] 何俊, 潘结南, 王安虎. 三轴循环加卸载作用下煤样的声发射特征 [J]. 煤炭学报, 2014, 39(1): 84–90.

    HE J, PAN J N, WANG A H. Acoustic emission characteristics of coal specimen under triaxial cyclic loading and unloading [J]. Journal of China Coal Society, 2014, 39(1): 84–90.
    [18] 丁长栋, 张杨, 杨向同, 等. 致密砂岩高围压和高孔隙水压下渗透率演化规律及微观机理研究 [J]. 岩土力学, 2019, 40(9): 15–23.

    DING C D, ZHANG Y, YANG X T, et al. Permeability evolution of tight sandstone under high confining pressure and high pore pressure and its microscopic mechanism [J]. Rock and Soil Mechanics, 2019, 40(9): 15–23.
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  • 收稿日期:  2019-07-11
  • 修回日期:  2019-07-26

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