%0 Journal Article
%T Compaction of mixtures of rigid and highly deformable particles: A micromechanical model
%+ Mécanique Théorique, Interface, Changements d’Echelles (MéTICE)
%+ École Polytechnique de Montréal (EPM)
%+ Expérimentation & Calcul Scientifique (COMPEX)
%+ Institut universitaire de France (IUF)
%A Cárdenas-Barrantes, Manuel
%A Cantor, David
%A Barés, Jonathan
%A Renouf, Mathieu
%A Azéma, Emilien
%< avec comité de lecture
%@ 2470-0045
%J Physical Review E
%I American Physical Society (APS)
%V 102
%N 3
%8 2020-09
%D 2020
%R 10.1103/PhysRevE.102.032904
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph]
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]Journal articles
%X We analyze the isotropic compaction of mixtures composed of rigid and deformable incompressible particles by the nonsmooth contact dynamics approach. The deformable bodies are simulated using a hyperelastic neo-Hookean constitutive law by means of classical finite elements. We characterize the evolution of the packing fraction, the elastic modulus, and the connectivity as a function of the applied stresses when varying the interparticle coefficient of friction. We show first that the packing fraction increases and tends asymptotically to a maximum value φ max , which depends on both the mixture ratio and the interparticle friction. The bulk modulus is also shown to increase with the packing fraction and to diverge as it approaches φ max. From the micromechanical expression of the granular stress tensor, we develop a model to describe the compaction behavior as a function of the applied pressure, the Young modulus of the deformable particles, and the mixture ratio. A bulk equation is also derived from the compaction equation. This model lays on the characterization of a single deformable particle under compression together with a power-law relation between connectivity and packing fraction. This compaction model, set by well-defined physical quantities, results in outstanding predictions from the jamming point up to very high densities and allows us to give a direct prediction of φ max as a function of both the mixture ratio and the friction coefficient.
%G English
%2 https://hal.science/hal-02947856/document
%2 https://hal.science/hal-02947856/file/Azema_al_PRE_2020.pdf
%L hal-02947856
%U https://hal.science/hal-02947856
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%~ LMGC
%~ MIPS
%~ UNIV-MONTPELLIER
%~ TEST-HALCNRS
%~ UM-2015-2021