{"id":666,"date":"2020-09-24T10:21:52","date_gmt":"2020-09-24T08:21:52","guid":{"rendered":"http:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/?p=666"},"modified":"2021-12-10T10:53:05","modified_gmt":"2021-12-10T09:53:05","slug":"compaction-of-mixtures-of-rigid-and-highly-deformable-particles-a-micromechanical-model","status":"publish","type":"post","link":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/2020\/09\/24\/compaction-of-mixtures-of-rigid-and-highly-deformable-particles-a-micromechanical-model\/","title":{"rendered":"Compaction of mixtures of rigid and highly deformable particles: A micromechanical model"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">M. Cardenas-Barrantes, D. Cantor, J. Bar\u00e9s, M. Renouf and &nbsp;E. Az\u00e9ma, Compaction of mixtures of rigid and highly deformable particles: A micromechanical model ,&nbsp;<strong><em>Phys. Rev. E<\/em>,&nbsp;<\/strong>102, 032904 (2020). https:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.102.032904<\/p>\n\n\n\n<p class=\"has-drop-cap wp-block-paragraph\">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&nbsp;\u03c6max&nbsp;, 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&nbsp;\u03c6max&nbsp;. 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&nbsp;\u03c6max&nbsp;as a function of both the mixture ratio and the friction coefficient.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>M. Cardenas-Barrantes, D. Cantor, J. Bar\u00e9s, M. Renouf and &nbsp;E. Az\u00e9ma, Compaction of mixtures of rigid and highly deformable particles: A micromechanical model ,&nbsp;Phys. Rev. E,&nbsp;102, 032904 (2020). https:\/\/journals.aps.org\/pre\/abstract\/10.1103\/PhysRevE.102.032904 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 [&hellip;]<\/p>\n","protected":false},"author":15,"featured_media":667,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-666","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-articles"],"_links":{"self":[{"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/posts\/666","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/users\/15"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/comments?post=666"}],"version-history":[{"count":3,"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/posts\/666\/revisions"}],"predecessor-version":[{"id":890,"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/posts\/666\/revisions\/890"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/media\/667"}],"wp:attachment":[{"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/media?parent=666"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/categories?post=666"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/tags?post=666"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}