%0 Journal Article
%T A two-scale numerical approach to granular systems
%A M. Nitka
%A J. Tejchman
%J Archives of Civil Engineering
%D 2011
%I Polish Academy of Sciences
%R 10.2478/v.10169-011-0022-4
%X A two-scale numerical homogenization approach was used for granular materials. At small-scale level, granular micro-structure was simulated using the discrete element method. At macroscopic level, the finite element method was applied. An up-scaling technique took into account a discrete model at each Gauss integration point of the FEM mesh to derive numerically an overall constitutive response of the material. In this process, a tangent operator was generated with the stress increment corresponding to the given strain increment at the Gauss point. In order to detect a loss of the solution uniqueness, a determinant of the acoustic tensor associated with the tangent operator was calculated. Some elementary geotechnical tests were numerically calculated using a combined DEM-FEM technique.
%K discrete element method
%K finite element method
%K granular material
%K homogenization technique
%K two-scale approach
%U http://versita.metapress.com/content/t3w202501244r0j3/?p=f390dfcb703441a59b0a94f5ce4e3075&pi=4