›› 2011, Vol. 32 ›› Issue (1): 51-62.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Preliminary study of two-scale model for analyzing brittle rock based on asymptotic expansion method

PENG Cong-wen1, 2, 3，ZHU Xiang-rong2，WANG Jin-chang4   

  1. 1.School of Urban Construction, Yangtze University, Jingzhou, Hubei 434023, China; 2. Key Laboratory of Soft Soils and Environmental Engineering, Ministry of Education, Zhejiang University, Hangzhou 310027, China; 3. Ningbo Institute of Technology, Zhejiang University, Ningbo, Zhejiang 315100, China; 4. Research Institute of Transportation Engineering, Zhejiang University, Hangzhou 310027, China
  • Received:2009-11-09 Online:2011-01-10 Published:2011-01-19

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Abstract:

The asymptotic expansion method was combined with micro-based statistical model to develop a two-scale scheme for analyzing the behavior of brittle rock. The material properties were defined in micro-scale and the elastic-perfect brittle constitutive was adopted, the modified Mohr-Coulomb theory and the maximum tensile strength were selected as the fracture criterion. Through calculating in a global-local coupling way, the damage evolution of material in the micro-scale and its effects on the properties of rock in the macro-scale were derived. The scheme included three steps: determining material statistical parameters, determining representative volume element (RVE) and solving boundary equations. The numerical model was realized by the commercial software ABAQUS and its subroutine UMAT. This scheme can be used in the conditions that the rock is loaded with uniaxial compression or triaxial compression with low confining pressure. The regularization method is not used, so the result is mesh dependent after the rock is localized.

Key words: brittle rock, two-scale, micro-based statistical model, asymptotic expansion method, ABAQUS

CLC Number: 

  • TU 452
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