›› 2010, Vol. 31 ›› Issue (12): 3697-3703.

• Fundamental Theroy and Experimental Research •     Next Articles

Microscopic theoretical model of critical state for granular materials

QIN Jian-min1, ZHANG Hong-wu2   

  1. 1. Research and Development Center of the Civil Engineering Technology, Dalian University, Dalian, Liaoning 116622, China; 2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, China
  • Received:2009-12-01 Online:2010-12-10 Published:2010-12-21

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Abstract:

Critical state is an important phenomenon exhibited in granular materials. Numerical simulations of two-dimensional particulate arrays are carried out using granular discrete element method based on void cells. The numerical simulation results are analyzed in detail to reveal the critical state from the viewpoint of microscopic geometric fabric. Based on the dilatancy of granular materials the micromechanical theoretical model of critical state in terms of valence is proposed. An implicit relationship between valence and plastic shear strain is obtained. The solution of the theoretical model confirms well with the numerical results. The important conclusion is drawn as follows: the parameters related to the microscopic theoretical model, including the critical valence and the plastic shear strain corresponding to critical state, are dependent on the microscopic properties such as the particle shape, surface friction, the consolidation stress and the initial void ratio of the granular assembly.

Key words: granular materials, microscopic critical state, valence, micromechanical deformation mechanism, void cell

CLC Number: 

  • TU 411
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