›› 2011, Vol. 32 ›› Issue (7): 2211-2218.

• Numerical Analysis • Previous Articles     Next Articles

Stress return mapping algorithm of Hoek-Brown criterion in principal stress space and its redevelopment

CHEN Pei-shuai1，CHEN Wei-zhong1，JIA Shan-po1, 2，YANG Jian-ping1   

  1. 1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China; 2. School of Urban Construction, Yangtze University, Jingzhou, Hubei 434023, China
  • Received:2010-02-01 Online:2011-07-10 Published:2011-06-30

PDF (Chinese)

2508

Abstract: In the course of implementing elastoplastic model in the FEM, it is necessary to carry out the process of stress return mapping algorithm. It may be not converging at singular points in three-dimensional space. The transforming method in principal stress space is put forward to overcoming this shortcoming. Also, the process of determining the region of return mapping is analyzed. At last, the consistent stiffness matrix is deduced. Based on the implicit algorithm in principal stress space, the UMAT subroutine of the Hoek-Brown model is developed in ABAQUS with the Fortran programming language. Through the example of triaxial compression test, it is easy to verify the feasibility and accuracy of this method by comparing the result with Mohr-Coulomb criterion in ABAQUS.

Key words: Hoek-Brown criterion, ABAQUS, UMAT, return mapping algorithm in principal stress space

CLC Number: 

  • TU 45
[1] MU Rui, PU Shao-yun, HUANG Zhi-hong, LI Yong-hui, ZHENG Pei-xin, LIU Yang, LIU Ze, ZHENG Hong-chao, . Determination of ultimate bearing capacity of uplift piles in combined soil and rock masses [J]. Rock and Soil Mechanics, 2019, 40(7): 2825-2837.
[2] REN Jin-lan, CHEN Xi, WANG Dong-yong, LÜ Yan-nan. Instantaneous linearization strength reduction technique for generalized Hoek-Brown criterion [J]. Rock and Soil Mechanics, 2019, 40(12): 4865-4872.
[3] LIU Qing-bin, PAN Mao, LIU Jie, GUO Yan-jun, ZHANG Xiao-shuang, YAO Jian-peng, LI Fang-yu, . Paraview visualization and virtual reality of output of finite element analysis in Abaqus [J]. Rock and Soil Mechanics, 2019, 40(12): 4916-4924.
[4] ZHOU Jia-jin, GONG Xiao-nan, YAN Tian-long, ZHANG Ri-hong, . Behavior of sand filled nodular piles under compression in soft soil areas [J]. , 2018, 39(9): 3425-3432.
[5] CUI Xuan, DONG Wei-xin, ZHOU Han-min, SUN Shu-wei,. Secondary development of a constitutive model in ABAQUS for tailings sand using generalized plasticity theory [J]. , 2018, 39(2): 745-752.
[6] GUO Yang, LI Qing, XU Wen-long, QIAN Lu, TIAN Ce. Dynamic fracture process of a pre-crack under linear charge explosion [J]. , 2018, 39(10): 3882-3890.
[7] TIAN Mao-lin, XIAO Hong-tian, YAN Qiang-gang,. Displacement back analysis of rock parameters of Hoek-Brown criterion using nonlinear regression method [J]. , 2017, 38(S1): 343-350.
[8] ZHENG Zhuo, LIU Ren-tai, LI Shu-cai, WANG Xiao-chen, ZHANG Lian-zhen, WANG Hong-bo. Investigation into grouting reinforcement mechanism of fractured rock mass basedon Hoek-Brown criterion [J]. , 2017, 38(S1): 409-417.
[9] 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.
[10] LUO Tao, E. T. Ooi, A. H. C Chan, FU Shao-jun，. A combined DEM-SBFEM for modelling particle breakage of rock-fill materials [J]. , 2017, 38(5): 1463-1471.
[11] WANG Ren-chao, CAO Ting-ting, LIU Yan-ru. Implementations of hypoplastic model based on different time integration algorithms [J]. , 2017, 38(5): 1510-1516.
[12] YANG Zi-han, YANG Xiao-li, XU Jing-shu, LI Yong-xin, SUN Zhi-bin，. Two methods for rock wall thickness calculation in karst tunnels based on upper bound theorem [J]. , 2017, 38(3): 801-809.
[13] CHENG Ai-ping, XIAO Shu, XU Meng-guo, WANG Ping, LIU Yan-zhang,. Stochastic analysis of strength and deformation parameters of jointed rock mass based on generalized Hoek-Brown criterion [J]. , 2017, 38(1): 205-213.
[14] GONG Di-guang, QU Zhan-qing, LI Jian-xiong, QU Guan-zheng, CAO Yan-chao, GUO Tian-kui. Extended finite element simulation of hydraulic fracture based on ABAQUS platform [J]. , 2016, 37(5): 1512-1520.
[15] LI Ming , GUO Pei-jun , LIANG Li , LI Xin，. Hydraulic fracturing characteristics of heterogeneous rock with hard inclusion distributed [J]. , 2016, 37(11): 3130-3136.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] WU Chang-yu, ZHANG Wei, LI Si-shen, ZHU Guo-sheng. Research on mechanical clogging mechanism of releaf well and its control method[J]. , 2009, 30(10): 3181 -3187 .
[2] CHEN Hong-jiang, LI Xi-bing, LIU Ai-hua. Studies of water source determination method of mine water inrush based on Bayes’ multi-group stepwise discriminant analysis theory[J]. , 2009, 30(12): 3655 -3659 .
[3] HE Fa-guo, CHEN Wen-wu, HAN Wen-feng, ZHANG Jing-ke. Correlation of microstructure indices and performance of sand solidified with polymer material SH[J]. , 2009, 30(12): 3803 -3807 .
[4] LEI Yong-sheng. Research on protective measures of City Wall and Bell Tower due to underneath crossing Xi’an Metro Line No.2[J]. , 2010, 31(1): 223 -228 .
[5] XIAO Zhong, WANG Yuan-zhan, JI Chun-ning, HUANG Tai-kun, SHAN Xu. Stability analysis of large cylindrical structure for strengthening soft foundation under wave load[J]. , 2010, 31(8): 2648 -2654 .
[6] CHAI Bo, YIN Kun-long, CHEN Li-xia, LI Yuan-yao. Analysis of slope deformation under control of rock mass structure[J]. , 2009, 30(2): 521 -525 .
[7] ZHAO Hong-bo, RU Zhong-liang, ZHANG Shi-ke. Application of support vector machine to reliability analysis of underground engineering[J]. , 2009, 30(2): 526 -530 .
[8] XU Yang, GAO Qian, LI Xin, LI Jun-hua, JIA Yun-xi. In-situ experimental study of permeability of rock and soil aggregates[J]. , 2009, 30(3): 855 -858 .
[9] ZHANG Ding-wen，LIU Song-yu，GU Chen-ying. Elastoplastic analysis of cylindrical cavity expansion with anisotropic initial stress[J]. , 2009, 30(6): 1631 -1634 .
[10] DENG Hua-feng，ZHANG Guo-dong，WANG Le-hua，DENG Cheng-jin，GUO Jing，LU Tao. Monitoring and analysis of blasting vibration in diversion tunnel excavation[J]. , 2011, 32(3): 855 -860 .
Copyright © Rock and Soil Mechanics, All Rights Reserved.
Tel: 027-87198484, 87199252, 87199253, 87198752　E-mail: ytlx@whrsm.ac.cn
Powered by Beijing Magtech Co. Ltd