›› 2007, Vol. 28 ›› Issue (4): 639-.

• Fundamental Theroy and Experimental Research •     Next Articles

Bifurcation condition of crack pattern in two-dimensional parallel cracks under far field shear stress

ZHOU Xiao-ping1，WANG Jian-hua2，ZHANG Yong-xing1   

  1. 1. College of Civil Engineering, Chongqing University, Chongqing 400045, China; 2. School of Civil Engineering and Mechanics, Shanghai Jiaotong University, Shanghai 200030, China
  • Online:2007-04-10 Published:2013-09-05

PDF (PC)

1161

Abstract: The interaction among cracks is studied by using pseudo-traction method. Bifurcation condition of crack growth pattern can be expressed by the crack length/ spacing ratio, . The interution among cracks leads to bifurcation of crack growth patterns if is larger than a critical value . Bifurcation condition for arrays of 2 parallel cracks, arrays of 3 parallel cracks and arrays of infinite arrays of cracks subjected to shear stress is analysed theoretically. The value of is 0.816 497 5,0.717 572 8 and 0.636 638 5 for arrays of 2 parallel cracks, arrays of 3 parallel cracks and arrays of infinite arrays of cracks respectively. The numerical results show that the value of decreases with increasing the number of cracks.

Key words: parallel cracks, far field shear stress, bifurcation, crack length/spacing ratio

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] Lü Qian, ZHANG Yun, LI Zhao-hua, TAO Zhi-gang, HE Man-chao, . Quasi-static-dynamic transformation numerical analysis of rock landslide based on the second-order work criterion [J]. , 2018, 39(3): 1091-1099.
[2] QIANG Yue ，ZHAO Ming-jie ，LIN Jun-zhi ，HE Jian . Study of localization phenomena in rock mass based on bifurcation theory [J]. , 2013, 34(7): 2099-2103.
[3] WANG Bing-jun ，XIAO Hong-tian ，YUE Zhong-qi . Interaction between two rectangular cracks in a transversely isotropic medium of semi-infinite extent [J]. , 2012, 33(8): 2527-2535.
[4] ZHEN Wen-zhan，SUN De-an，Chen Yao-yao. Analysis of bifurcation by a critical state model for sands under three-dimensional stress states [J]. , 2011, 32(9): 2663-2668.
[5] 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.
[6] QIAN Jian-gu, Lü Xi-lin, HUANG Mao-song. Softening characteristics of soils and constitutive modeling under plane strain condition [J]. , 2009, 30(3): 617-622.
[7] YANG Zhi-lin. Imperfect buckling behavior for side slope with bedding rock mass [J]. , 2008, 29(S1): 353-356.
[8] ZHANG Qiang-yong , LI Shu-cai , GUO Xiao-hong ，Li Yong , WANG Han-peng . Research and development of new typed cementitious geotechnical similar material for iron crystal sand and its application [J]. , 2008, 29(8): 2126-2130.
[9] CHEN Ji-guang , ZHANG Qiang-yong , LI Shu-cai , MA Guo-liang , ZHANG Jian-guo . The application of direct linear transformation based on the neural network in geo-mechanics model test [J]. , 2008, 29(4): 897-900.
[10] ZHANG Qing-song , LI Li-ping , LI Shu-cai , DING Wan-tao , HONG Wei-liang . Experimental study of blasting dynamic vibration of closely adjacent tunnels [J]. , 2008, 29(10): 2655-2660.
[11] WANG Zhe-chao , LI Shu-cai , CHEN Wei-zhong . Deformation monitoring of bifurcation tunnel and countermeasures of construction technologies [J]. , 2007, 28(4): 785-789.
[12] LUAN Mao-tian, WANG Zhong-chang, YANG Qing,. Analysis of localization behavior of rock-like materials with damage effect [J]. , 2007, 28(1): 1-6.
[13] YIN Guang-zhi , HUANG Gun , DAI Gao-fei , SUN Guo-wen,. Bifurcation and chaos analysis of coal and rock damage under uniaxial compression based on CT values [J]. , 2006, 27(9): 1465-1470.
[14] QIAN Jian-gu , HUANG Mao-song,. An analytical solution for criterion of onset of strain localization of soils [J]. , 2005, 26(3): 432-436.
[15] FANG Ying-guang. Analysis of seismic response properties of layered foundation-nonlinear structure system [J]. , 2004, 25(7): 1011-1016.
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] GUO Bao-hua. Numerical analysis of hydraulic fracturing on single-holed rock specimens[J]. , 2010, 31(6): 1965 -1970 .
[6] 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 .
[7] 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 .
[8] 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 .
[9] LONG Zhao，ZHAO Ming-hua，ZHANG En-xiang，LIU Jun-long. A simplified method for calculating critical anchorage length of bolt[J]. , 2010, 31(9): 2991 -2994 .
[10] 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 .
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