Geodesic
Dynamic Numerical Investigation of Random Packing for Spherical and Nonconvex Particles
Sylvain Faure1 ; Aline Lefebvre-Lepot2 ; Benoît Semin3
1 CNRS et Université Paris-Sud, Laboratoire de Mathématiques, Bât. 425, 91405 Orsay Cedex, France
2 CNRS, CMAP, Ecole Polytechnique, 91128 PALAISEAU Cedex, France
3 Université Pierre et Marie Curie-Paris 6, Univ Paris-Sud, CNRS, Laboratoire FAST, Bât. 502, 91405 Orsay Cedex, France.
ESAIM. Proceedings, Tome 28 (2009), pp. 13-32.

Voir la notice de l'article provenant de la source EDP Sciences

We simulate the sedimentation in a parallelepipedic container of spheres and nonconvex particles constituted by two overlapping spheres. We use the self-written code SCoPI. Thanks to an efficient handling of contacts between particles, it allowed us to consider up to 100,000 spheres and 10,000 nonconvex particles. The packing fraction (in bulk and close to a wall) as well as the mean value and the distribution of contacts of the final packings are reported. The results obtained for the classical case of spherical particles (packing fraction: , mean number of contacts: 6) are in agreement with previous studies and validate the algorithm. The packing fraction for nonconvex particles increases and then decreases with respect to the aspect ratio, which is similar to the ellipsoid (convex) case. The number of contacts is different from the number of neighbours, which is of course never the case for spherical particles (convex particles). The number of contacts is discontinuous when slightly increasing the aspect ratio from the spherical case: it is equal to 6 in the spherical case and to 10 in the nonconvex case. These values correspond to the isocounting values, i.e. the number of contacts is twice the number of degrees of freedom. This contrasts with the ellipsoid case, where it sharply but continuously increases. Concerning the number of neighbours, it continuously increases for small aspect ratio (which is similar to the convex particle case), but decreases for higher aspect ratio.
DOI : 10.1051/proc/2009037

Sylvain Faure 1 ; Aline Lefebvre-Lepot 2 ; Benoît Semin 3

1 CNRS et Université Paris-Sud, Laboratoire de Mathématiques, Bât. 425, 91405 Orsay Cedex, France
2 CNRS, CMAP, Ecole Polytechnique, 91128 PALAISEAU Cedex, France
3 Université Pierre et Marie Curie-Paris 6, Univ Paris-Sud, CNRS, Laboratoire FAST, Bât. 502, 91405 Orsay Cedex, France. 
@article{EP_2009_28_a2,
     author = {Sylvain Faure and Aline Lefebvre-Lepot and Beno{\^\i}t Semin},
     title = {Dynamic {Numerical} {Investigation} of {Random} {Packing} for {Spherical} and {Nonconvex} {Particles}},
     journal = {ESAIM. Proceedings},
     pages = {13--32},
     publisher = {mathdoc},
     volume = {28},
     year = {2009},
     doi = {10.1051/proc/2009037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2009037/}
}
TY  - JOUR
AU  - Sylvain Faure
AU  - Aline Lefebvre-Lepot
AU  - Benoît Semin
TI  - Dynamic Numerical Investigation of Random Packing for Spherical and Nonconvex Particles
JO  - ESAIM. Proceedings
PY  - 2009
SP  - 13
EP  - 32
VL  - 28
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/2009037/
DO  - 10.1051/proc/2009037
LA  - en
ID  - EP_2009_28_a2
ER  - 
%0 Journal Article
%A Sylvain Faure
%A Aline Lefebvre-Lepot
%A Benoît Semin
%T Dynamic Numerical Investigation of Random Packing for Spherical and Nonconvex Particles
%J ESAIM. Proceedings
%D 2009
%P 13-32
%V 28
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/2009037/
%R 10.1051/proc/2009037
%G en
%F EP_2009_28_a2
Sylvain Faure; Aline Lefebvre-Lepot; Benoît Semin. Dynamic Numerical Investigation of Random Packing for Spherical and Nonconvex Particles. ESAIM. Proceedings, Tome 28 (2009), pp. 13-32. doi : 10.1051/proc/2009037. http://geodesic.mathdoc.fr/articles/10.1051/proc/2009037/

Cité par Sources :