{"id":1028,"date":"2023-05-15T10:45:45","date_gmt":"2023-05-15T08:45:45","guid":{"rendered":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/?p=1028"},"modified":"2023-09-22T13:42:52","modified_gmt":"2023-09-22T11:42:52","slug":"grain-size-distribution-does-not-affect-the-residual-shear-strength-of-granular-materials-an-experimental-proof","status":"publish","type":"post","link":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/2023\/05\/15\/grain-size-distribution-does-not-affect-the-residual-shear-strength-of-granular-materials-an-experimental-proof\/","title":{"rendered":"Grain size distribution does not affect the residual shear strength of granular materials: An experimental proof"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">O.<strong>&nbsp;<\/strong>Polania, M. Cabrera, M. Renouf, E. Az\u00e9ma and Nicolas Estrada,&nbsp;Grain size distribution does not affect the residual shear strength of granular materials: An experimental proof,&nbsp;<strong><em>Phys. Rev. E-Letter<\/em><\/strong>, 107, L052901 (2023)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Granular materials are used in several fields and in a wide variety of processes. An important feature of these materials is the diversity of grain sizes, commonly referred to as polydispersity. When granular materials are sheared, they exhibit a predominant small elastic range. Then, the material yields, with or without a peak shear strength depending on the initial density. Finally, the material reaches a stationary state, in which it deforms at a constant shear stress, which can be linked to the residual friction angle&nbsp;\u03c6r. However, the role of polydispersity on the shear strength of granular materials is still a matter of debate. In particular, a series of investigations have proved, using numerical simulations, that&nbsp;\u03c6r&nbsp;is independent of polydispersity. This counterintuitive observation remains elusive to experimentalists, and especially for some technical communities that use&nbsp;\u03c6r&nbsp;as a design parameter (e.g., the soil mechanics community). In this Letter, we studied experimentally the effects of polydispersity on&nbsp;\u03c6r&nbsp;. In order to do so, we built samples of ceramic beads and then sheared these samples in a triaxial apparatus. We varied polydispersity, building monodisperse, bidisperse, and polydisperse granular samples; this allowed us to study the effects of grain size, size span, and grain size distribution on&nbsp;\u03c6r. We find that&nbsp;\u03c6r&nbsp;is indeed independent of polydispersity, confirming the previous findings achieved through numerical simulations. Our work fairly closes the gap of knowledge between experiments and simulations.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"1092\" src=\"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-content\/uploads\/sites\/18\/2023\/05\/Capture-decran-2023-05-15-a-10.44.03-700x1092.jpg\" alt=\"\" class=\"wp-image-1030\" srcset=\"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-content\/uploads\/sites\/18\/2023\/05\/Capture-decran-2023-05-15-a-10.44.03-700x1092.jpg 700w, https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-content\/uploads\/sites\/18\/2023\/05\/Capture-decran-2023-05-15-a-10.44.03-192x300.jpg 192w, https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-content\/uploads\/sites\/18\/2023\/05\/Capture-decran-2023-05-15-a-10.44.03-768x1198.jpg 768w, https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-content\/uploads\/sites\/18\/2023\/05\/Capture-decran-2023-05-15-a-10.44.03-624x974.jpg 624w, https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-content\/uploads\/sites\/18\/2023\/05\/Capture-decran-2023-05-15-a-10.44.03.jpg 946w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><figcaption class=\"wp-element-caption\">Close-up scale views of some of the tested granular systems. (a)\u2013(c) Grains with diameters&nbsp;<em>d&nbsp;<\/em>=&nbsp;0.15&nbsp;\u00b1&nbsp;0.05 mm,&nbsp;<em>d&nbsp;<\/em>=&nbsp;1.1&nbsp;\u00b1&nbsp;0.1 mm, and&nbsp;<em>d&nbsp;<\/em>=&nbsp;1.9&nbsp;\u00b1&nbsp;0.1 mm, respectively, (d) bidisperse sample with&nbsp;\u03bb&nbsp;=&nbsp;2.1, and (e) and (f) polydisperse samples with&nbsp;\u03bb&nbsp;=&nbsp;3.1 and 10, respectively. A 10 mm scale is shown in the upper- left-hand corner.<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>O.&nbsp;Polania, M. Cabrera, M. Renouf, E. Az\u00e9ma and Nicolas Estrada,&nbsp;Grain size distribution does not affect the residual shear strength of granular materials: An experimental proof,&nbsp;Phys. Rev. E-Letter, 107, L052901 (2023) Granular materials are used in several fields and in a wide variety of processes. An important feature of these materials is the diversity of grain [&hellip;]<\/p>\n","protected":false},"author":15,"featured_media":1030,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1028","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\/1028","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=1028"}],"version-history":[{"count":3,"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/posts\/1028\/revisions"}],"predecessor-version":[{"id":1114,"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/posts\/1028\/revisions\/1114"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/media\/1030"}],"wp:attachment":[{"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/media?parent=1028"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/categories?post=1028"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lmgc.univ-montp2.fr\/perso\/emilien-azema\/wp-json\/wp\/v2\/tags?post=1028"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}