›› 2007, Vol. 28 ›› Issue (S1): 327-332.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Analytical elastoplastic solutions to supporting rock masses of circular tunnels under asymmetric load

SUN Jin-shan, LU Wen-bo   

  1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China
  • Received:2007-05-30 Online:2007-10-25 Published:2014-03-28

Abstract: Considering the behaviors of strength reduction and volume dilatancy of rock materials, the approximate analytical solutions to calculating the extent of the plastic zone, stress field and displacement field in rock masses of circular tunnels are proposed. The elastic-softening-residual plastic triple linear stress-strain model and the Mohr-Coulumb failure criterion are involved. The analytical solutions are valid when the plastic zone is comparatively large and the lateral pressure coefficients 1≤λ<3. These solutions are very close to the results calculated by the finite element method, which can be used for the simple elastoplastic analysis of the circular openings instead of the finite element method.

Key words: circular tunnel, asymmetrical load, strain softening, dilatancy, elastoplastic analysis

CLC Number: 

  • TU 452
  • Please send e-mail to pingzhou3@126.com if you would like to read full paper in English for free. Parts of our published papers have English translations.
[1] LI Jian-peng, GAO Ling, MU Huan-sheng. Dilatancy characteristics of sandstone and its function of dilatancy angle under high confining pressure and unloading conditions [J]. Rock and Soil Mechanics, 2019, 40(6): 2119-2126.
[2] JIN Jun-chao, SHE Cheng-xue, SHANG Peng-yang. A nonlinear creep model of rock based on the strain softening index [J]. Rock and Soil Mechanics, 2019, 40(6): 2239-2246.
[3] HE Zi-lu, LIU Wei, HE Si-ming, YAN Shuai-xing, . Shear dilatancy mechanism and process simulation of rapid sliding of saturated loose deposits [J]. Rock and Soil Mechanics, 2019, 40(6): 2389-2396.
[4] XIA Cai-chu, LIU Yu-peng, WU Fu-bao, XU Chen, DENG Yun-gang, . Viscoelasto-viscoplastic solutions for circular tunnel based on Nishihara model [J]. Rock and Soil Mechanics, 2019, 40(5): 1638-1648.
[5] XU Peng, JIANG Guan-lu, LEI Tao, LIU Qi, WANG Zhi-meng, LIU Yong, . Calculation of seismic displacement of reinforced soil retaining walls considering backfill strength [J]. Rock and Soil Mechanics, 2019, 40(5): 1841-1846.
[6] WANG Feng-yun, QIAN De-ling, . Dilatancy analysis for a circular tunnel excavated in rock mass based on unified strength theory [J]. Rock and Soil Mechanics, 2019, 40(5): 1966-1976.
[7] ZHOU Hui, CHENG Guang-tan, ZHU Yong, CHEN Jun, LU Jing-jing, CUI Guo-jian, YANG Pin-qing, . Experimental study of shear deformation characteristics of marble dentate joints [J]. Rock and Soil Mechanics, 2019, 40(3): 852-860.
[8] WANG Teng, WU Rui. Study of vertical penetration resistance of seabed pipelines in cohesive soil [J]. Rock and Soil Mechanics, 2019, 40(3): 871-878.
[9] LU Yong, ZHOU Guo-qing , YANG Dong-ying, SONG Jia-qing, . Explicit calculation of sand unified model combining shear dilatancy softening and shear shrinkage hardening [J]. Rock and Soil Mechanics, 2019, 40(3): 978-986.
[10] DONG Jian-xun, LIU Hai-xiao, LI Zhou. A bounding surface plasticity model of sand for cyclic loading analysis [J]. Rock and Soil Mechanics, 2019, 40(2): 684-692.
[11] YANG Gong-biao, ZHANG Cheng-ping, MIN Bo, CAI Yi, . Elastic solution of soil displacement induced by shallow circular tunnel with a cavern in a stratum using function of complex variable method [J]. Rock and Soil Mechanics, 2018, 39(S2): 25-36.
[12] WANG Jun, HU Hui-li, LIU Fei-yu, CAI Yuan-qiang, . Effects of direct shear characteristics of sand-geogrid interface under different aperture ratios [J]. Rock and Soil Mechanics, 2018, 39(S2): 115-122.
[13] GU Shuan-cheng, ZHOU Pan, HUANG Rong-bin. Stability analysis of tunnel supported by bolt-surrounding rock bearing structure [J]. , 2018, 39(S1): 122-130.
[14] WANG Feng-yun, QIAN De-ling. Elasto-plastic analysis of a deep circular tunnel based on tangential strain softening [J]. , 2018, 39(9): 3313-3320.
[15] WU Yong-sheng, TAN Zhong-sheng, YU Xian-bin, YU Yu, ZHU Yong,. Dilatancy behavior of phyllite in uniaxal compressive tests under different loading azimuths [J]. , 2018, 39(8): 2747-2754.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] ZHAO Hong-bao, YIN Guang-zhi, LI Xiao-shuang. Experimental study of characteristics of tensile burned gritstone[J]. , 2010, 31(4): 1143 -1146 .
[2] LIU Qing-bing,XIANG Wei,ZHANG Wei-feng,CUI De-shan. Experimental study of ionic soil stabilizer-improves expansive soil[J]. , 2009, 30(8): 2286 -2290 .
[3] CHEN Zhi-qiang, ZHANG Yong-xing, ZHOU Jian-ying. Experimental study of deep tunnel surrounding rock rockburst proneness with similarity material simulating method based on digital speckle correlation technique[J]. , 2011, 32(S1): 141 -148 .
[4] DU Wen-qi, WANG Gang. Statistical analysis of earthquake-induced sliding displacements of earth structures[J]. , 2011, 32(S1): 520 -0525 .
[5] YAN Zhi-hua, LIU Zhi-wei, LIU Hou-jian. Treatment and parameter selection of high slope of a power plant located in the terraces of Yellow River[J]. , 2009, 30(S2): 465 -468 .
[6] XU Zhen-hao , LI Shu-cai , LI Li-ping , HOU Jian-gang , SUI Bin , SHI Shao-shuai. Risk assessment of water or mud inrush of karst tunnels based on analytic hierarchy process[J]. , 2011, 32(6): 1757 -1766 .
[7] JIANG Quan ,FENG Xia-ting ,ZHOU Hui ,ZHAO Yang , XU Ding-ping ,HUANG Ke ,JIANG Ya-li. Discussion of strength value for interlayer shear belt[J]. , 2011, 32(11): 3379 -3386 .
[8] WEN Shi-qing , LIU Han-long , CHEN Yu-min. Analysis of load transfer characteristics of single grouted gravel pile[J]. , 2011, 32(12): 3637 -3641 .
[9] GONG Si-yuan,DOU Lin-ming,HE Jiang,HE Hu,LU Cai-ping,MU Zong-long. Study of correlation between stress and longitudinal wave velocity for deep burst tendency coal and rock samples in uniaxial cyclic loading and unloading experiment[J]. , 2012, 33(1): 41 -47 .
[10] ZHONG Sheng ,WANG Chuan-ying ,WU Li-xin ,TANG Xin-jian ,WANG Qing-yuan. Borehole radar response characteristics of point unfavorable geo-bodies: forward simulation of its surrounding rock and filling condition[J]. , 2012, 33(4): 1191 -1195 .