https://doi.org/10.1140/epje/i2004-10098-8
Elastic medium confined in a column versus the Janssen experiment
1
Laboratoire des Matériaux et Structures du Génie Civil, (UMR 113 LCPC-ENPC-CNRS), Institut Navier 2, allée Kepler, 77420, Champs sur Marne, France
2
Physique et Mécanique des Milieux Hétérogènes (UMR 7636 CNRS-ESPCI) and Université Pierre et Marie Curie, ESPCI, 10 rue Vauquelin, 75231, Paris Cedex 5, France
* e-mail: ovarlez@lcpc.fr
Received:
16
December
2004
Accepted:
31
January
2005
Published online:
16
March
2005
We compute the stresses in an elastic medium confined in a vertical column, when the material is at the Coulomb threshold everywhere at the walls. Simulations are performed in 2 dimensions using a spring lattice, and in 3 dimensions, using the Finite Element Method. The results are compared to the Janssen model and to experimental results for a granular material. The necessity to consider elastic anisotropy to render qualitatively the experimental findings is discussed.
PACS: 45.05.+x General theory of classical mechanics of discrete systems – / 45.70.Cc Static sandpiles; granular compaction – / 46.25.-y Static elasticity –
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2005
