Computational Homogenization of Confined Frictional Granular Matter

  • H. A. MeierEmail author
  • P. Steinmann
  • E. Kuhl
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 21)


Multiscale modeling and computation of confined granular media opens a novel way of simulating and understanding the complicated behavior of granular structures. Phenomenological continuum approaches are often not capable of reproducing distinguishing features of granular media, like, e.g., the breaking and forming of particle contacts. Alternatively, a multiscale homogenization procedure, based on a discrete element method, allows to capture such distinguishing features. The present manuscript deals with the variationally based computational homogenization and simulation of granular media, whereby the macroscopic impact of inter-particle friction defines the overall focal point. To bridge the gap between both scales, we apply the concept of a representative volume element, essentially linking both scales through variational considerations. As the beneficial outcome of the variational approach, the Piola stress is derived from the overall macroscopic energy density.


Granular Medium Shear Component Tangential Contact Granular Assembly Simple Shear Test 
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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of KaiserslauternKaiserslauternGermany
  2. 2.Department of Mechanical EngineeringUniversity of Erlangen-NurembergErlangenGermany
  3. 3.Department of Mechanical EngineeringStanford UniversityStanfordUSA

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