Résumé
The compaction behavior of deformable grain packings beyond jamming is a process widelyinvestigated because of its great industrial and engineering significance, yet it remainsmisunderstood. Many numerical and experimental approaches have enabled the explorationof the physics of deformable granular media and the definition of some theoretical modelswith reliable predictions for the relations between pressure and density. However, thesemodels have some limitations such as the use of nonphysical parameters, the lack of accuracyat extreme pressures, and the missing physical derivation of the compaction equations. Westudy the compaction behavior of soft sphere packings beyond the jammed state by numericalsimulations (see Fig. 1) using the non-smooth contact dynamic method. The resultsshow that the evolution of packing fraction - as a function of the applied pressure - is welldescribed using only micromechanical parameters. This is obtained based on the stress tensor,together with the limit too small deformation of the particles' strain. Our work also suggeststhat it is possible to extrapolate the compaction behavior of an elementary Voronoi cell thatcontains a single particle to the packing scale.