Advances in multiscale modeling of granular materials

Xikui Li, Yuanbo Liang, Youyao Du, Bernhard Schrefler

Research output: Chapter in Book/Report/Conference proceedingChapter


The paper reports recent advances in multiscale modeling of granular materials, particularly in the second-order computational homogenization method and corresponding global-local mixed FEM-DEM nested analysis scheme. The gradient Cosserat continuum and the classical Cosserat continuum are assumed for modelling granular media at the macro- and meso-scales, respectively. According to the generalized Hill’s lemma formulated for the adopted meso-macro continuum modeling the non-uniform macroscopic strain field with macroscopic strain gradients is downscaled to each representative volume element (RVE), while satisfaction of the generalized Hill-Mandel condition is ensured. The advantage of the gradient Cosserat continuum model in capturing the meso-structural size effect and the performance of the proposed second-order computational homogenization in the simulation of strain softening and localization phenomena are demonstrated, without need to specify macroscopic phenomenological constitutive relationship and material failure model.

Original languageEnglish (US)
Title of host publicationSpringer Tracts in Mechanical Engineering
PublisherSpringer International Publishing
Number of pages11
StatePublished - Jan 1 2016

Publication series

NameSpringer Tracts in Mechanical Engineering
ISSN (Print)2195-9862
ISSN (Electronic)2195-9870

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Civil and Structural Engineering
  • Automotive Engineering
  • Instrumentation
  • Aerospace Engineering
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes
  • Industrial and Manufacturing Engineering


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