𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Homogenization of granular material modeled by a three-dimensional discrete element method

✍ Scribed by C. Wellmann; C. Lillie; P. Wriggers


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
754 KB
Volume
35
Category
Article
ISSN
0266-352X

No coin nor oath required. For personal study only.

✦ Synopsis


A homogenization strategy for granular materials is presented and applied to a three-dimensional discrete element method (DEM), that uses superellipsoids as particles. Macroscopic quantities are derived from the microscopic quantities resulting from a DEM simulation by averaging over representative volume elements (RVEs). The implementation of an RVE is described in detail regarding the definition and discretization of the RVE boundary. The homogenization strategy is validated by DEM simulations of compression and shear tests of cohesionless granular assemblies. Finally, an elasto-plastic material model is fitted to the resulting stress-strain curves.


πŸ“œ SIMILAR VOLUMES


Discrete element modeling of direct shea
✍ Ying Yan; Shunying Ji πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 247 KB

## Abstract A succinct 3D discrete element model, with clumps to resemble the real shapes of granular materials, is developed. The quaternion method is introduced to transform the motion and force of a clump between local and global coordinates. The Hertz–Mindlin elastic contact force model, incorp

A micro–macro homogenization approach fo
✍ Xikui Li; Qipeng Liu; Junbo Zhang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 497 KB

Based on Hill's lemma for classical Cauchy continuum, a version of Hill's lemma for micro-macro homogenization modeling of Cosserat continuum is derived. The derived admissible boundary conditions for the modeling are used to direct the proper prescription of boundary conditions on the representativ