›› 2012, Vol. 33 ›› Issue (1): 179-184.

• Geotechnical Engineering • Previous Articles     Next Articles

Upper bound solution of ultimate pullout capacity of strip plate anchor based on Hoek-Brown failure criterion

HUANG Fu,YANG Xiao-li,ZHAO Lian-heng,HUANG Kan   

  1. School of Civil Engineering, Central South University, Changsha 410075, China
  • Received:2010-05-18 Online:2012-01-10 Published:2012-01-17

Abstract: The existing studies of ultimate pullout capacity of plate anchor which employed linear and nonlinear Mohr-Coulomb failure criterion have been achieved in sand. However, the Mohr-Coulomb failure criterion is unsuitable for calculating the ultimate pullout capacity of plate anchor in rock foundation. Based on the Hoek-Brown failure criterion, a curved failure mechanism is constructed and the expression of pullout capacity of plate anchor is derived in the framework of upper bound theorem of limit analysis. The upper bound solutions of ultimate pullout capacity and failure surface for plate anchor are obtained with the help of variational calculation. To evaluate the validity of this method, the ultimate pullout capacity of curved failure mechanism is calculated by using equivalent parameters of Mohr-Coulomb criterion when parameter B=1. The solutions are compared with the results presented in the existing literatures. The good agreement between the results of curved failure mechanism and the solutions computed by linear multiple blocks failure mechanism shows the upper bound solutions calculated by curved failure mechanism is effective. According to the results of parameters analysis, both the ultimate pullout capacity and failure surface decrease with the increase of rock parameter B when other parameters are fixed.

Key words: Hoek-Brown failure criterion, upper bound theorem, curved failure mechanism, ultimate pullout capacity

CLC Number: 

  • TU 470
[1] YUAN Wei, LIU Shang-ge, NIE Qing-ke, WANG Wei, . An approach for determining the critical thickness of the karst cave roof at the bottom of socketed pile based on punch failure mode [J]. Rock and Soil Mechanics, 2019, 40(7): 2789-2798.
[2] WU Shun-chuan, ZHANG Min, ZHANG Shi-huai, JIANG Ri-hua, . Study on determination method of equivalent Mohr-Coulomb strength parameters of a modified Hoek-Brown failure criterion [J]. Rock and Soil Mechanics, 2019, 40(11): 4165-4177.
[3] ZHANG Xiao-xi, HE Si-ming, FAN Xiao-yi, . Seismic stability of L-shape retaining walls and determination method of sliding surface [J]. Rock and Soil Mechanics, 2019, 40(10): 4011-4020.
[4] JIANG Bei, LI Shu-cai, WANG Qi, WANG Fu-qi, ZHANG Ruo-xiang, . Design method of roof anchor cable for deep large section mining roadways based on the upper bound method [J]. , 2017, 38(8): 2351-2354.
[5] HAN Long-qiang, WU Shun-chuan, LI Zhi-peng, . Study of non-proportional strength reduction method based on Hoek-Brown failure criterion [J]. , 2016, 37(S2): 690-696.
[6] WU Shun-chuan ,GENG Xiao-jie ,GAO Yong-tao ,ZHAO Guo-jun ,LI Jian ,YAN Qiong,. A study of the longitudinal deformation of tunnels based on the generalized Hoek-Brown failure criterion [J]. , 2015, 36(4): 946-952.
[7] HENG Shuai , YANG Chun-he , ZHANG Bao-ping , GUO Yin-tong , WANG Lei , WEI Yuan-long,. Experimental research on anisotropic properties of shale [J]. , 2015, 36(3): 609-616.
[8] XU Yuan, LI Liang, ZOU Jin-feng, YUAN Zhen. Generalized Hoek-Brown solution of circular tunnel considering effects of axial stress and seepage force [J]. , 2015, 36(10): 2837-2846.
[9] LI Yuan ,LI Zhen ,QIAO Lan ,LI Miao,. Realization of rock mass nonlinear strength characteristics in unified strength theory based on brittle-shear strength analysis [J]. , 2014, 35(S1): 173-180.
[10] SUN Zhi-bin , YANG Xiao-li , ZHANG Sheng , WANG Lu-lu,. Slope back analysis based on slip surface depth under Mohr-Coulomb criterion [J]. , 2014, 35(5): 1323-1328.
[11] CUI Lan,ZHENG Jun-jie,ZHANG Rong-jun,ZHANG Wei. Study of support pressure and surrounding rock deformation of a circular tunnel with an elastoplastic softening model [J]. , 2014, 35(3): 717-722.
[12] WANG Qi1,2,3,WANG Hong-tao ,LI Shu-cai ,WANG De-chao ,JIANG Bei ,ZHANG Hong-jun ,LI Wei-teng, . Upper bound limit analysis of roof collapse mechanism of large section roadway with thick top coal [J]. , 2014, 35(3): 795-800.
[13] LI Shu-cai , WANG Hong-tao , WANG Qi , WANG De-chao , . Limit analysis of failure mechanism of prestressed anchor cable based on Hoek-Brown failure criterion [J]. , 2014, 299(2): 466-473.
[14] YANG Xin-guang,CHI Shi-chun. Upper bound method for seismic stability limit analysis of earth-rock dams [J]. , 2013, 34(3): 721-726.
[15] WEN Chang-ping. Limit analysis of seismic active earth pressure of multistage retaining structures [J]. , 2013, 34(11): 3205-3212.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] SUN Yong. Research on calculation method of double-row anti-sliding structure under sliding surface[J]. , 2009, 30(10): 2971 -2977 .
[2] LI Hong-bo,GUO Xiao-hong. Research on calculation metheods of earth pressure on muti-arch tunnel for highway[J]. , 2009, 30(11): 3429 -3434 .
[3] QU Wan-bo, LIU Xin-rong, FU Yan, QIN Xiao-ying. Numerical simulation of preliminary lining of large section crossing tunnels constructed with PBA method[J]. , 2009, 30(9): 2799 -2804 .
[4] WANG Chuan-ying, HU Pei-liang, SUN Wei-chun. Method for evaluating rock mass integrity based on borehole camera technology[J]. , 2010, 31(4): 1326 -1330 .
[5] TAN Yun-zhi, KONG Ling-wei, GUO Ai-guo, WAN Zhi. Capillary effect of moisture transfer and its numerical simulation of compacted laterite soil[J]. , 2010, 31(7): 2289 -2294 .
[6] WANG Sheng-xin, LU Yong-xiang, YIN Ya-xiong, GUO Ding-yi. Experimental study of collapsiblity of gravel soil[J]. , 2010, 31(8): 2373 -2377 .
[7] WANG Yun-gang, XIONG Kai, LING Dao-sheng. Upper bound limit analysis of slope stability based on translational and rotational failure mechanism[J]. , 2010, 31(8): 2619 -2624 .
[8] XU Zhi-jun, ZHENG Jun-jie, ZHANG Jun, MA Qiang. Application of cluster analysis and factor analysis to evaluation of loess collapsibility[J]. , 2010, 31(S2): 407 -411 .
[9] DENG Zong-wei, LENG Wu-ming, LI Zhi-yong, YUE Zhi-ping. Finite element analysis of time effect for coupled problem of temperature and stress fields in slope supported by shotcrete[J]. , 2009, 30(4): 1153 -1158 .
[10] LI Jian ,TAN Zhong-sheng ,YU Yu ,NI Lu-su. Research on construction procedure for shallow large-span tunnel undercrossing highway[J]. , 2011, 32(9): 2803 -2809 .