[9] |
FRALDI M,GUARRACINO F. Evaluation of impending collapse in circular tunnels by analytical and numerical approaches[J]. Tunnelling and Underground Space Technology,2011,26(4):507-516.
|
[19] |
WANG H T,WANG L G,LI S C,et al. Roof collapse mechanisms for a shallow tunnel in two-layer rock strata incorporating the influence of groundwater[J]. Engineering Failure Analysis,2019,98(4):215-227.
|
[3] |
WANG W L,WANG T T,SU J J,et al. Assessment of damage in mountain tunnels due to the Taiwan Chi-Chi earthquake[J]. Tunnelling and Underground Space Technology,2001,16(3):133-150.
|
[13] |
WANG Z,QIAO C,SONG C,et al. Upper bound limit analysis of support pressures of shallow tunnels in layered jointed rock strata[J]. Tunnelling and Underground Space Technology,2014,43(7):171-183.
|
[23] |
CHEN W F,LIU X L. Limit analysis in soil mechanics[M]. Amsterdam:Elsevier Science,1990:36-47.
|
[2] |
LEE C F. Performance of underground coal mines during the 1976 Tangshan earthquake[J]. Tunnelling and Underground Space Technology,1987,2(2):199-202.
|
[4] |
秋仁东,石玉成. 地震荷载作用下石窟的震害特征及抗震加固[J]. 灾害学,2006,21(1):38-42.(QIU Rendong,SHI Yucheng. Characteristics of seismic disaster of grottoes under seismic loading and seismic reinforcement[J]. Journal of Catastrophology,2006,21(1):38-42.(in Chinese))
|
[5] |
王 帅,盛 谦,朱泽奇,等. 地震荷载作用下地下洞室不利地质结构塌落机制研究[J]. 岩土力学,2012,33(10):2 897-2 902. (WANG Shuai,SHENG Qian,ZHU Zeqi,et al. Study of collapse mechanism of underground caverns with unfavorable geological structures under seismic loading[J]. Rock and Soil Mechanics,2012,33(10):2 897-2 902.(in Chinese))
|
[8] |
FRALDI M,GUARRACINO F. Analytical solutions for collapse mechanisms in tunnels with arbitrary cross sections[J]. International Journal of Solids and Structures,2010,47(2):216-223.
|
[6] |
张成平,韩凯航,张顶立,等. 城市软弱围岩隧道塌方特征及演化规律试验研究[J]. 岩石力学与工程学报,2014,33(12):2 433- 2 442.(ZHANG Chengping,HAN Kaihang,ZHANG Dingli,et al. Test study of collapse characteristics of tunnels in soft ground in urban areas[J]. Chinese Journal of Rock Mechanics and Engineering,2014,33(12):2 433-2 442.(in Chinese))
|
[16] |
QIN C B,CHIAN S C,YANG X L,et al. 2D and 3D limit analysis of progressive collapse mechanism for deep-buried tunnels under the condition of varying water table[J]. International Journal of Rock Mechanics and Mining Sciences,2015,80(12):255-264.
|
[18] |
QIN C B,CHIAN S C. Revisiting crown stability of tunnels deeply buried in non-uniform rock surrounds[J]. Tunnelling and Underground Space Technology,2018,73(3):154-161.
|
[26] |
张国建. 巨厚弱胶结覆岩深部开采岩层运动规律及区域性控制研究[博士学位论文][D]. 徐州:中国矿业大学,2020.(ZHANG Guojian. Study on the strata movement rule and regional control of deep mining with the super-thick and weak cementation overburden[Ph. D. Thesis][D]. Xuzhou:China University of Mining and Technology,2020.(in Chinese))
|
[1] |
JOHN C M S,ZAHRAH T F. Aseismic design of underground structures[J]. Tunnelling and Underground Space Technology,1987,2(2):165-197.
|
[7] |
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.
|
[11] |
黄 阜,杨小礼,黄 戡,等. 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):1 903-1 909.(HUANG Fu,YANG Xiaoli,HUANG Kan,et al. Upper bound solutions of supporting pressure of shallow cavities subjected to porewater pressure based on nonlinear failure criterion[J]. Chinese Journal of Geotechnical Engineering,2011,33(12):1 903- 1 909.(in Chinese))
|
[17] |
QIN C B,CHIAN S C. 2D and 3D stability analysis of tunnel roof collapse in stratified rock:A kinematic approach[J]. International Journal of Rock Mechanics and Mining Sciences,2017,100(12):269-277.
|
[10] |
黄 阜. 隧道围岩塌落机理与锚杆支护结构的上限分析研究[博士学位论文][D]. 长沙:中南大学,2012.(HUANG Fu. Upper bound analysis of collapsing mechanism of surrounding rock and rockbolt supporting structures for tunnels[Ph. D. Thesis][D]. Changsha:Central South University,2012.(in Chinese))
|
[12] |
HUANG F,YANG X L. Upper bound limit analysis of collapse shape for circular tunnel subjected to pore pressure based on the Hoek-Brown failure criterion[J]. Tunnelling and Underground Space Technology,2011,26(5):614-618.
|
[14] |
HUANG F,ZHAO L H,LING T H,et al. Rock mass collapse mechanism of concealed karst cave beneath deep tunnel[J]. International Journal of Rock Mechanics and Mining Sciences,2017,91(1):133-138.
|
[21] |
LIBERZON D. Calculus of variations and optimal control theory:a concise introduction[M]. New Jersey:Princeton University Press,2011:42-43.
|
[15] |
HUANG F,ZHANG M,JIANG Z. Collapse mode of rock mass induced by a concealed karst cave above a deep cavity[J]. Journal of Central South University,2019,26(7):1 747-1 754.
|
[20] |
LYU C,ZENG Z,DONG Y. Limit analysis of progressive asymmetrical collapse ailure of tunnels in inclined rock stratum[J]. Symmetry,2019,11(7):904.
|
[22] |
CHEN W F. Limit analysis and soil plasticity[M]. Amsterdam:Elsevier Science,1975:31-38.
|
[24] |
HOEK E,BROWN E T. Practical estimates of rock mass strength[J]. International Journal of Rock Mechanics and Mining Sciences,1997,34(8):1 165-1 186.
|
[25] |
HOEK E,BROWN E T. The Hoek-Brown failure criterion and GSI- 2018 edition[J]. Journal of Rock Mechanics and Geotechnical Engineering,2019,11(3):445-463.
|