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FEM × DEM Multi-scale Analysis of Boundary Value Problems Involving Strain Localization

  • J. DesruesEmail author
  • T. K. Nguyen
  • G. Combe
  • D. Caillerie
Conference paper
  • 1.6k Downloads
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)

Abstract

The paper presents a FEM × DEM multiscale modeling analysis of boundary value problems involving strain localization in cohesive granular materials. At the microscopic level, a discrete element method (DEM) is used to model the granular structure. At the macroscopic level, the numerical solution of the boundary value problem (BVP) is obtained via a finite element method (FEM) formulation. In order to bridge the gap between micro- and macro-scale, the concept of representative volume element (REV) is applied: the average REV stress and the consistent tangent operators are obtained in each macroscopic integration point as the results of DEM simulation. The numerical constitutive law is determined through the DEM modeling of the microstructure to take into account the discrete nature of granular materials. The computational homogenization method is described and illustrated in the case of a hollow cylinder made of cohesive-frictional granular material, submitted to different internal and external pressures. Strain localization is observed to occur at the macro scale in this simulation.

Keywords

Finite Element Method Representative Elementary Volume Discrete Element Method Gauss Point Discrete Element Method Simulation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This work was carried out as part of GeoBridge research project at 3SR lab, Grenoble, France, which is funded by the French Agence Nationale de la Recherche (ANR).

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • J. Desrues
    • 1
    Email author
  • T. K. Nguyen
    • 1
  • G. Combe
    • 1
  • D. Caillerie
    • 1
  1. 1.Laboratoire 3SRUJF-Grenoble 1, Grenoble-INP, CNRS UMR 5521Grenoble Cedex 09France

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