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考虑孔隙水压力效应和非线性破坏准则的 浅埋地下洞室支护力上限分析

黄 阜, 杨小礼, 黄 戡, 张道兵

黄 阜, 杨小礼, 黄 戡, 张道兵. 考虑孔隙水压力效应和非线性破坏准则的 浅埋地下洞室支护力上限分析[J]. 岩土工程学报, 2011, 33(12): 1903-1909.
引用本文: 黄 阜, 杨小礼, 黄 戡, 张道兵. 考虑孔隙水压力效应和非线性破坏准则的 浅埋地下洞室支护力上限分析[J]. 岩土工程学报, 2011, 33(12): 1903-1909.
HUANG Fu, YANG Xiao-li, HUANG Kan, ZHANG Dao-bing. Upper bound solutions of supporting pressure of shallow cavities subjected to pore water pressure based on nonlinear failure criterion[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(12): 1903-1909.
Citation: HUANG Fu, YANG Xiao-li, HUANG Kan, ZHANG Dao-bing. Upper bound solutions of supporting pressure of shallow cavities subjected to pore water pressure based on nonlinear failure criterion[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(12): 1903-1909.

考虑孔隙水压力效应和非线性破坏准则的 浅埋地下洞室支护力上限分析  English Version

基金项目: 国家自然科学基金项目( 51178468 );湖南省杰出青年基金( 09JJ1008 );湖南省研究生科研创新项目( CX2009B043 )
详细信息
    作者简介:

    黄 阜 (1983 – ) ,男,湖南岳阳人,博士研究生,主要从事隧道与地下工程稳定性的研究。

  • 中图分类号: TU921

Upper bound solutions of supporting pressure of shallow cavities subjected to pore water pressure based on nonlinear failure criterion

  • 摘要: 由于孔隙水压力的作用,位于饱和土体中地下结构的力学和变形特征与完全干燥土体中的结构有很大不同。根据浅埋地下洞室的非线性破坏特征构建了一个新的曲线形破坏机制,并将孔隙水压力做的功率作为一个外力功率引入极限分析上限定理的虚功率方程中,推导了孔隙水压力作用下饱和土体中浅埋洞室支护力和速度间断线上限解的解析表达式。利用变分原理,对此支护力的上限解进行了优化计算,得到了支护力的最优上限解,并对单一影响参数变化下的支护力随埋深变化规律和洞室顶部塌落面的形状进行了研究。研究结果表明:孔隙水压力对饱和土体中浅埋洞室的支护力和塌落面均有重大影响;支护力和塌落面都随孔隙水压力系数的增大而增大。
    Abstract: Due to the effect of pore water pressure, the mechnical and deformation characteristics of underground structures located in saturated soils are different from those located in completely dry soils. According to the nonlinear failure characteristics of shallow cavities, a new curved failure mechanism is constructed. By regarding the work rate of pore water pressure as an external loading work rate, the effect of pore water pressure is introduced into the virtual work rate equation of the upper bound theorem, and the upper solution expressions of supporting pressure and detaching curve of the shallow cavities subjected to pore water pressure are derived. By using variational calculation to optimize the objective function, the optimal upper solutions of supporting pressure and collapsing block shape of shallow cavity are obtained. According to the results of parametric analysis, the pore water pressure has significant influence on the supporting pressure and collapsing surface of the shallow cavities. Furthermore, both the supporting pressure and collapsing surface increase with the increase of pore water pressure coefficient.
  • [1] MICHALOWSKI R L . Slope stability analysis: a kinematical approach[J]. Géotechnique, 1995, 45 (2): 283 – 293.
    [2] SHIN J H. Analytical and combined numerical methods evaluating pore water pressure on tunnels[J]. Géotechnique, 2010, 60 (2): 141 – 145.
    [3] BOBET A . Effect of pore water pressure on tunnel support during static and seismic loading[J]. Tunnelling and Underground Space Technology , 2003, 18 (4): 377 – 393.
    [4] YANG X L, HUANG F. Influences of material dilatancy and pore water pressure on stability factor of shallow tunnels[J]. Transactions of Nonferrous Metals Society of China, 2009, 19 (3): 819 – 823.
    [5] CHEN W F. Limit analysis and soil plasticity[M]. New York: Elsevier Scientific Publishing Company, 1975.
    [6] 赵炼恒 , 罗 强 , 李 亮 , 等 . 水平矩形浅锚极限抗拔力分析 [J]. 岩土工程学报 , 2009, 32 (9): 1414 – 1420. (ZHAO Lian-heng, LUO Qiang, LI Liang, et al. Ultimate pullout capacity of horizontal rectangular plate anchors[J]. Chinese Journal of Geotechnical Engineering, 2009, 32 (9): 1414 – 1420. (in Chinese))
    [7] MICHALOWSKI R L. Limit loads on reinforced foundation soils[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2004, 130 (4): 381 – 390.
    [8] LI Y, EMERIAULT F, KASTNER R, et al. Stability analysis of large slurry shield-driven tunnel in soft clay[J]. Tunnelling and Underground Space Technology, 2009, 24 (4): 472 – 481.
    [9] 杨 峰 , 阳军生 , 张学民 , 等 . 斜坡地基单侧滑移破坏模式及承载力上限解 [J]. 工程力学 , 2010, 27 (6): 162 – 168. (YANG Feng, YANG Jun-sheng, ZHANG Xue-min, et al. One-side slip failure mechanism and upper bound solution for bearing capacity of foundation on slope[J]. Engineering Mechanics, 2010, 27 (6): 162 – 168. (in Chinese))
    [10] 杨 峰 , 阳军生 . 浅埋隧道围岩压力确定的极限分析方法 [J]. 工程力学 , 2008, 25 (7): 179 – 184. (YANG Feng, YANG Jun-sheng. Limit analysis method for determination of earth pressure on shallow tunnel[J]. Engineering Mechanics, 2008, 25 (7): 179 – 184. (in Chinese))
    [11] LECA E, DORMIEUX L . Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material[J]. Géotechnique, 1990, 40 (4): 581 – 606.
    [12] LI X. Finite element analysis of slope stability using a nonlinear failure criterion[J]. Computers and Geotechnics, 2007, 34 (3): 127 – 136.
    [13] JIANG J C, BAKER R, YAMAGAMI T. The effect of strength envelope nonlinearity on slope stability computations[J]. Canadian Geotechnical Journal, 2003, 40 (2): 308 – 325.
    [14] YANG XL, YIN J H. Estimation of seismic passive earth pressures with nonlinear failure criterion[J]. Engineering Structures, 2006, 28 (3): 342 – 348.
    [15] ZHANG X J, CHEN W F. Stability analysis of slopes with general nonlinear failure criterion[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1987, 11 (1): 33 – 50.
    [16] VIRATJANDR C, MICHALOWSKI R L. Limit analysis of submerged slopes subjected to water drawdown[J]. Canadian Geotechnical Journal, 2006, 43 (8): 802 – 814.
    [17] FRALDI M, GUARRACINO F . Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek-Brown failure criterion[J]. International Journal of Rock Mechanics and Mining Sciences, 2009, 46 (4): 665 – 673.
    [18] 樊 涛 . 非线性非保守系统弹性力学拟变分原理研究 [D]. 哈尔滨 : 哈尔滨工程大学 , 2007. (FAN Tao. Research on the quasi-variational principles in nonlinear non-conservative elasticity[D]. Harbin: Harbin Engineering University, 2007. (in Chinese))
    [19] DAVIS E H, DUNN M J, MAIR R J, et al. The stability of shallow tunnels and underground openings in cohesive material[J]. Géotechnique, 1980, 30 (4): 397 – 416.
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  • 发布日期:  2011-12-14

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