›› 2014, Vol. 35 ›› Issue (6): 1809-1817.

• Numerical Analysis • Previous Articles     Next Articles

Modeling initiation and propagation of main and secondary cracks of rock under combined compression and shear loading using extended finite element method

SHI Fang1, 2, GAO Feng1, 2, LI Xi-ru1, 2, SHEN Xiao-ming1, 2   

  1. 1. State Key Laboratory for Geomechanics & Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China; 2. School of Mechanics & Civil Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China
  • Received:2014-01-09 Online:2014-06-10 Published:2014-06-20

Abstract: In rock-type materials, two types of cracks are observed under combined compression and shear loading: the tensile wing cracks, and the frictional secondary cracks. On the basis of the extended finite element method (XFEM), an extended finite element displacement enrichment method to model the interaction of the frictional crack surfaces is given. Besides, an approach to deal with the branched cracks is also presented. The maximum circumferential tensile stress criterion and the Mohr-Coulomb criterion are adopted respectively to predict the initiation and propagation of the tensile cracks and the frictional cracks. A Matlab program Betaxfem 2D has been developed and the proposed methods are verified through two examples; and then the crack bifurcation and propagation processes of the specimens with pre-existing closed fractures under uniaxial compression loading are simulated. The comparison with the experimental results indicates that methods proposed can be used to simulate and predict the initiation and propagation of the interactive tensile and frictional branched cracks in rock-type materials.

Key words: extended finite element method, rock, branched crack, crack propagation

CLC Number: 

  • O 320
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