›› 2009, Vol. 30 ›› Issue (4): 879-884.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Multiscale method of granular materials based on average-field theory：theoretical aspects

LIU Qi-peng，WU Wen-hua   

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China
  • Received:2007-08-31 Online:2009-04-10 Published:2011-01-30

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Abstract:

Theoretical aspects of the multiscale method of granular materials based on the average-field theory are discussed. It is shown that the use of macroscopic Cosserat continuum model is necessary when taking account of rolling moment resistance between particles in contact in microscopic analysis. The expressions of stress and couple stress tensors are derived in light of the average-field theory. The constraints to the fluctuations of granular microstructure are also presented; and the intrinsic length scale parameter is discussed. It is the theoretical aspect of multiscale computational homogenization of granular materials.

Key words: granular materials, average-field theory, multiscale method

CLC Number: 

  • TU 443
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