›› 2013, Vol. 34 ›› Issue (8): 2355-2362.

• Numerical Analysis • Previous Articles     Next Articles

A block-discrete-spring model to simulate failure process of rock

WANG Jie, LI Shi-hai, ZHOU Dong, ZHANG Qing-bo   

  1. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2012-06-06 Online:2013-08-12 Published:2013-08-13

Abstract: A block-discrete-spring model based on deformable discrete element method is established; this model would be applied to simulate the rock failure process. In this model, the theoretical basis is continuum mechanics and block element is divided into discrete spring system with specific physical meaning. The stiffness of the spring can be obtained from the energy functional. In this way, element deformation and stress would be calculated by spring stiffness directly and efficiently. In the case of rock mass slope under gravity, the elastic result achieved with this model is the same as that of traditional finite element method. (FEM). On this basis, Mohr-Coulomb criterion with a tensile cutoff which used to judge the failure state and broken direction is proposed and implemented into the block-discrete-spring model. After the internal failure face established, the element will be divided into two elements by means of cutting block; and double judgement including element boundary and element interior is adopted to realize the crack initiation and propagation, which could mitigate the effect of initial mesh. Finally, the rationality of the failure result calculated by block-discrete-spring model is approved by some cases including split test with flattened disk, uniaxial compression and three point bending. The results show that this method can well simulate the crack initiation and propagation under tensile, compressive and shear conditions, by which the rock failure process can be realized from continuum to discontinuum.

Key words: rock mechanics, discrete spring, element failure, crack propagation

CLC Number: 

  • TU 452
[1] ZHANG Yan-bo, SUN Lin, YAO Xu-long, LIANG Peng, TIAN Bao-zhu, LIU Xiang-xin, . Experimental study of time-frequency characteristics of acoustic emission key signals during granite fracture [J]. Rock and Soil Mechanics, 2020, 41(1): 157-165.
[2] ZHANG Guo-kai, LI Hai-bo, WANG Ming-yang, LI Xiao-feng, . Crack propagation characteristics in rocks containing single fissure based on acoustic testing and camera technique [J]. Rock and Soil Mechanics, 2019, 40(S1): 63-72.
[3] SEISUKE Okubo, TANG Yang, XU Jiang, PENG Shou-jian, CHEN Can-can, YAN Zhao-song, . Application of 3D-DIC system in rock mechanic test [J]. Rock and Soil Mechanics, 2019, 40(8): 3263-3273.
[4] ZHANG Chuan-qing, LIU Zhen-jiang, ZHANG Chun-sheng, ZHOU Hui, GAO Yang, HOU Jing, . Experimental study on rupture evolution and failure characteristics of aphanitic basalt [J]. Rock and Soil Mechanics, 2019, 40(7): 2487-2496.
[5] MA Qiu-feng, QIN Yue-ping, ZHOU Tian-bai, YANG Xiao-bin. Mechanical properties and constitutive model of porous rock under loading and unloading [J]. Rock and Soil Mechanics, 2019, 40(7): 2673-2685.
[6] ZHANG Yu-bin, HUANG Dan. State-based peridynamic study on the hydraulic fracture of shale [J]. Rock and Soil Mechanics, 2019, 40(7): 2873-2881.
[7] TIAN Jun, LU Gao-ming, FENG Xia-ting, LI Yuan-hui, ZHANG Xi-wei. Experimental study of the microwave sensitivity of main rock-forming minerals [J]. Rock and Soil Mechanics, 2019, 40(6): 2066-2074.
[8] WANG Hai-jun, YU Shu-yang, REN Ran, TANG Lei, LI Xin-yun, JIA Yu, . Study on failure of brittle solids with circular hole and internal crack based on 3D-ILC [J]. Rock and Soil Mechanics, 2019, 40(6): 2200-2212.
[9] 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.
[10] SU Guo-shao, YAN Si-zhou, YAN Zhao-fu, ZHAI Shao-bin, YAN Liu-bin, . Evolution characteristics of acoustic emission in rockburst process under true-triaxial loading conditions [J]. Rock and Soil Mechanics, 2019, 40(5): 1673-1682.
[11] YANG Shi-kou, ZHANG Ji-xun, REN Xu-hua, . Study of contact cracks based on improved numerical manifold method [J]. Rock and Soil Mechanics, 2019, 40(5): 2016-2021.
[12] WANG Yu, AI Qian, LI Jian-lin, DENG Hua-feng, . Damage characteristics of sandstone under different influence factors and its unloading failure meso-morphology properties [J]. Rock and Soil Mechanics, 2019, 40(4): 1341-1350.
[13] LI Xiao-zhao, QI Cheng-zhi, SHAO Zhu-shan, QU Xiao-lei, . Micromechanics-based model study of shear properties of brittle rocks [J]. Rock and Soil Mechanics, 2019, 40(4): 1358-1367.
[14] CONG Yi, CONG Yu, ZHANG Li-ming, JIA Le-xin, WANG Zai-quan, . 3D particle flow simulation of loading-unloading failure process of marble [J]. Rock and Soil Mechanics, 2019, 40(3): 1179-1186.
[15] CHEN Wei-zhong, LI Fan-fan, MA Yong-shang, LEI Jiang, YU Hong-dan, XING Tian-hai, ZHENG You-lei, JIA Xiao-dong, . Development of a parallel-linkage triaxial testing machine for THM coupling in soft rock [J]. Rock and Soil Mechanics, 2019, 40(3): 1213-1220.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] LIU Xiao,TANG Hui-ming,LIU Yu. A new model for landslide displacement prediction based on set pair analysis and fuzzy-Markov chain[J]. , 2009, 30(11): 3399 -3405 .
[2] HU Da-wei, ZHOU Hui, XIE Shou-yi, ZHANG Kai, SHAO Jian-fu, FENG. Study of Biot’s coefficients of marble during plastic deformation phase[J]. , 2009, 30(12): 3727 -3732 .
[3] SHI Xu-chao,HAN Yang. Water absorption test of soft clay after rebound under unloading[J]. , 2010, 31(3): 732 -736 .
[4] ZHU Jian-ming,PENG Xin-po,YAO Yang-ping,XU Jin-hai. Application of SMP failure criterion to computing limit strength of coal pillars[J]. , 2010, 31(9): 2987 -2990 .
[5] YUAN Xi-zhong, LI Ning , ZHAO Xiu-yun, YANG Yin-tao. Analysis of sensitivity of frozen ground bearing capacity to climate change in Northeast China permafrost regions[J]. , 2010, 31(10): 3265 -3272 .
[6] BAI Bing, LI Xiao-chun, SHI Lu, TANG Li-zhong. Slope identity of elastoplastic stress-strain curve and its verification and application[J]. , 2010, 31(12): 3789 -3792 .
[7] TANG Li-min. Regularization algorithm of foundation settlement prediction model[J]. , 2010, 31(12): 3945 -3948 .
[8] LI Zhan-hai,ZHU Wan-cheng,FENG Xia-ting,LI Shao-jun,ZHOU Hui,CHEN Bing-rui. Effect of lateral pressure coefficients on damage and failure process of horseshoe-shaped tunnel[J]. , 2010, 31(S2): 434 -441 .
[9] CAI Hui-teng, WEI Fu-quan, CAI Zong-wen. Study of silty clay dynamic characteristics in Chongqing downtown area[J]. , 2009, 30(S2): 224 -228 .
[10] SONG Ling , LIU Feng-yin , LI Ning . On mechanism of rotary cone penetration test[J]. , 2011, 32(S1): 787 -0792 .