›› 2011, Vol. 32 ›› Issue (7): 2171-2176.

• Numerical Analysis • Previous Articles     Next Articles

Study of fracture problem with extended finite element method

RU Zhong-liang1，ZHU Chuan-rui1，ZHANG You-liang2，ZHAO Hong-bo1   

  1. 1. College of Civil Engineering, Henan Polytechnic University, Jiaozuo, Henan 454000, China; 2. State key Laboratory of Geomechanics and Geotechnical Engineering, Chinese Academy of Sciences, Wuhan 430071, China
  • Received:2009-11-19 Online:2011-07-10 Published:2011-06-30

PDF (Chinese)

3548

Abstract: The extended finite element method (XFEM) is a numerical method for modeling discontinuities within the classical finite element framework developed in recent years. In XFEM, jump functions and asymptotic crack-tip fields were added to enrich the finite element displacement using the framework of partition of unity to model the discontinuities of cracks. A key advantage of XFEM is that in fracture problems the finite element mesh does not need to be updated and remeshed. Based on the algorithm of XFEM, the J integral methods which calculate the stress intensity factor(SIF) are introduced. A numerical case with model I fracture is analyzed by XFEM. The results illustrate that the FEM mesh is independent of the crack interface. The major factors which influence the accuracy of SIF are discussed, such as integral domain and mesh density. Proper parameters to calculate the SIF are given; and the feasibility and accuracy of XFEM are validated.

Key words: extended finite element method, fracture, shape function, numerical method

CLC Number: 

  • TU 443
[1] SONG Wen-cheng, LIANG Zheng-zhao, . Investigation on failure characteristics and water inrush risk of inclined floor mining above confined aquifer [J]. Rock and Soil Mechanics, 2020, 41(2): 624-634.
[2] WANG Pei-tao, HUANG Zheng-jun, REN Fen-hua, ZHANG Liang, CAI Mei-feng, . Research on direct shear behaviour and fracture patterns of 3D-printed complex jointed rock models [J]. Rock and Soil Mechanics, 2020, 41(1): 46-56.
[3] ZHANG Zhi-tao, WANG Hai-jun, TANG Lei, ZHAO Chu, LI Han-zhang, SU zheng-yang, . Study of fracture characteristics of semi-circular bending with internal crack based on 3D-ILC [J]. Rock and Soil Mechanics, 2020, 41(1): 111-122.
[4] LOU Ye, ZHANG Guang-qing. Experimental analysis of fracturing fluid viscosity on cyclic hydraulic fracturing [J]. Rock and Soil Mechanics, 2019, 40(S1): 109-118.
[5] XIU Nai-ling, YAN Yu-zhong, XU Yun, WANG Xin, GUAN Bao-shan, WANG Zhen, LIANG Tian-cheng, FU Hai-feng, TIAN Guo-rong, MENG Chuan-you, . Experimental study on conductivity of self-supporting shear fractures based on non-Darcy flow [J]. Rock and Soil Mechanics, 2019, 40(S1): 135-142.
[6] XIAO Yao, DENG Hua-feng, LI Jian-lin, ZHI Yong-yan, XIONG Yu. The deterioration effect of fractured rock mass strengthened by grouting method under long-term immersion [J]. Rock and Soil Mechanics, 2019, 40(S1): 143-151.
[7] ZHAI Ming-lei, GUO Bao-hua, WANG Chen-lin, JIAO Feng, . Compression-shear failure characteristics of rock with penetrated fracture under normal unloading condition [J]. Rock and Soil Mechanics, 2019, 40(S1): 217-223.
[8] ZHI Yong-yan, DENG Hua-feng, XIAO Yao, DUAN Ling-ling, CAI Jia, LI Jian-lin. Analysis of seepage characteristics of fractured rock mass reinforced by microbial grouting [J]. Rock and Soil Mechanics, 2019, 40(S1): 237-244.
[9] CHEN Wei-zhong, LEI Jiang, YU Hong-dan, LI Fan-fan, MA Yong-shang, YAN Xian-yang, . Experiment on moisture migration in saturation process of clayey rock [J]. Rock and Soil Mechanics, 2019, 40(9): 3327-3334.
[10] LI Bo, HUANG Jia-lun, ZHONG Zhen, ZOU Liang-chao, . Numerical simulation on hydraulic and solute transport properties of 3D crossed fractures [J]. Rock and Soil Mechanics, 2019, 40(9): 3670-3768.
[11] WANG Rui, YAN Shuai, BAI Jian-biao, CHANG Zhi-guo, SONG Yuan-ba, . Theoretical analysis of the destabilization mechanism and the damaged width of rib pillar in open-pit highwall mining [J]. Rock and Soil Mechanics, 2019, 40(8): 3167-3180.
[12] SUN Feng, XUE Shi-feng, PANG Ming-yu, TANG Mei-rong, ZHANG Xiang, LI Chuan, . 3D simulation of fracture growth from perforation to near-wellbore in horizontal wells based on continuum damage model [J]. Rock and Soil Mechanics, 2019, 40(8): 3255-3261.
[13] CHENG Ai-ping, ZHANG Yu-shan, DAI Shun-yi, DONG Fu-song, ZENG Wen-xu, LI Dan-feng, . Space-time evolution of acoustic emission parameters of cemented backfill and its fracture prediction under uniaxial compression [J]. Rock and Soil Mechanics, 2019, 40(8): 2965-2974.
[14] WANG Peng-fei, TAN Wen-hui, MA Xue-wen, LI Zi-jian, LIU Jing-jun, WU Yang-fan. Experimental study of seepage characteristics of consecutive and filling fracture with different roughness levels and gap-widths [J]. Rock and Soil Mechanics, 2019, 40(8): 3062-3070.
[15] 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.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] SUN Shu-lin，LI Fang，CHEN Jun. Electrical resistivity measurement for lime-stabilized silt soil[J]. , 2010, 31(1): 51 -55 .
[2] LI Ying-yong，ZHANG Ding-li，ZHANG Hong-bo，SONG Xiu-guang. Research on failure mechanism and effects of prestressed anchor cables for reinforcing slopes[J]. , 2010, 31(1): 144 -150 .
[3] LI Jing，MIAO Lin-chang，ZHONG Jian-chi，FENG Zhao-xiang. Deformation and damping characteristics of EPS beads-mixed lightweight soil under repeated load-unloading[J]. , 2010, 31(6): 1769 -1775 .
[4] WANG Li-yan，JIANG Peng-ming，LIU Han-long. Mechanism analysis of residual liquefied deformation of breakwater during earthquake[J]. , 2010, 31(11): 3556 -3562 .
[5] LI Xiu-zhen，WANG Cheng-hua，DENG Hong-yan. A comparison of distance and Fisher discrimination methods applied to identifying potential landslides[J]. , 2011, 32(1): 186 -192 .
[6] JI Wu-jun. Investigation and analysis of engineering problems for loess tunnels[J]. , 2009, 30(S2): 387 -390 .
[7] CHEN Li-hua , LIN Zhi , LI Xing-ping. Study of efficacy of systematic anchor bolts in highway tunnels[J]. , 2011, 32(6): 1843 -1848 .
[8] CHEN Li-wen, SUN De-an. Bifurcation analysis of overconsolidated clays with soil-water coupling along different stress paths[J]. , 2011, 32(10): 2922 -2928 .
[9] ZHENG Gang ZHANG Li-ming DIAO Yu. Analysis of working performance of piles beneath excavation bottom and settlement calculation[J]. , 2011, 32(10): 3089 -3096 .
[10] ZHAO Ming-hua, LEI Yong, ZHANG Rui. Study of punching failure mode and safe thickness of pile foundation in karst region[J]. , 2012, 33(2): 524 -530 .
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