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  • Letter

Grain size distribution does not affect the residual shear strength of granular materials: An experimental proof

Oscar Polanía1,2,*, Miguel Cabrera3,†, Mathieu Renouf2,‡, Emilien Azéma2,4,§, and Nicolas Estrada1,∥

  • 1Department of Civil and Environmental Engineering, Universidad de los Andes, Bogotá, Colombia
  • 2LMGC, Université de Montpellier, CNRS, Montpellier, France
  • 3Department of Geoscience & Engineering, TU Delft, Delft, The Netherlands
  • 4Institut Universitaire de France (IUF), Paris, France

  • *os.polaniao@uniandes.edu.co; oscar.polania@umontpellier.fr
  • †M.A.Cabrera@tudelft.nl
  • ‡mathieu.renouf@umontpellier.fr
  • §emilien.azema@umontpellier.fr
  • ∥n.estrada22@uniandes.edu.co

Phys. Rev. E 107, L052901 – Published 12 May, 2023

DOI: https://doi.org/10.1103/PhysRevE.107.L052901

Abstract

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 ϕr. 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 ϕr is independent of polydispersity. This counterintuitive observation remains elusive to experimentalists, and especially for some technical communities that use ϕr as a design parameter (e.g., the soil mechanics community). In this Letter, we studied experimentally the effects of polydispersity on ϕr. 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 ϕr. We find that ϕr 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.

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