In this work, we extend a previously discussed averaging method for granular materials (Artoni and Richard in Phys Rev E 91:032202, 2015 ), by considering average balance equations related to particle rotations (the micro-inertia, the angular momentum and the rotational energy balances). The ...
Journal2022, Materials Science and Engineering: B Jashanpreet Singh, Simranjit Singh 2.2.6 Coarse-graining (CG) and reduced representations Instead of describing each device atom explicitly, “pseudo-atoms” are used to describe classes of atoms. However, the time scales of description are coarse-...
The discrete element method is used extensively for the simulation of granular materials. The great majority of engineering applications require bulk design parameters to be determined which requires some averaging or coarse graining techniques to be applied to the particle data from DEM computations. Al...
Two-grid, Voronoi tessellation-based coarse-graining method The two-grid coarse-graining method proposed here comprises two main steps: (1) Radical Voronoi tessellation of the particle system to assign a local porosity to each particle; (2) Field mapping to the CFD grid using a point cloud. ...
But unlike in fluid dynamics, there is a lack of scale separation in granular materials, so the res- olution must be chosen carefully [10,11]. A recent publication by Goldhirsch [12] provides a com- prehensive description of the coarse graining formalism. This paper follows these ...
Adj.1.coarse-grained- composed of or covered with particles resembling meal in texture or consistency; "granular sugar"; "the photographs were grainy and indistinct"; "it left a mealy residue" grainy,granular,granulose,gritty,mealy,farinaceous ...
The intrinsic energy converges monotonically to its fine-grained (continuum) value, and coarse-grainings of a density ho ho converge strongly to ho ho . If a sequence of coarse-grained densities converges strongly to ho ho and their representing potentials converge weak-*, the limit is the ...
Results, including displacement, strain and stress fields, obtained by applying a resolution-controlled coarse-graining method to an experiment, comprised of a bidisperse system of photoelastic disks under pure shear, are presented. The paper reviews the experimental methods as well as the philosophical...
Following a somewhat biased introduction to coarse-graining and a brief account of some of the physics of granular matter, we present a derivation of the equations of continuum mechanics for any prescribed resolution. One consequence of these equations is the existence of a correction to the ...
Blumenfeld, R. 2004. Stress in planar cellular solids and isostatic granular assemblies: coarse-graining the constitutive equation. Physica A 336 361-368.Blumenfeld, R.: Stress in planar cellular solids: coarse-graining the constitutive equation. Physica A 336, 361 (2004)...