Bulk modulus of soft particle assemblies under compression

Using a numerical approach based on the coupling of the discrete and finite element methods, we explore the variation of the bulk modulus K of soft particle assemblies undergoing isotropic compression. As the assemblies densify under pressure-controlled boundary conditions, we show that the non-line...

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Main Authors: Cantor David, Cárdenas-Barrantes Manuel, Preechawuttipong Itthichai, Renouf Mathieu, Azéma Emilien
Format: Article
Language:English
Published: EDP Sciences 2021-01-01
Series:EPJ Web of Conferences
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2021/03/epjconf_pg2021_14014.pdf
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author Cantor David
Cárdenas-Barrantes Manuel
Preechawuttipong Itthichai
Renouf Mathieu
Azéma Emilien
author_facet Cantor David
Cárdenas-Barrantes Manuel
Preechawuttipong Itthichai
Renouf Mathieu
Azéma Emilien
author_sort Cantor David
collection DOAJ
description Using a numerical approach based on the coupling of the discrete and finite element methods, we explore the variation of the bulk modulus K of soft particle assemblies undergoing isotropic compression. As the assemblies densify under pressure-controlled boundary conditions, we show that the non-linearities of K rapidly deviate from predictions standing on a small-strain framework or the, so-called, Equivalent Medium Theory (EMT). Using the granular stress tensor and extracting the bulk properties of single representative grains under compression, we propose a model to predict the evolution of K as a function of the sample’s solid fraction and a reference state as the applied pressure P→0. The model closely reproduces the trends observed in our numerical experiments confirming the behavior scalability of soft particle assemblies from the individual particle scale. Finally, we present the effect of the interparticle friction on K’s evolution and how our model easily adapts to such a mechanical constraint.
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spelling doaj.art-8170b82bea5240b78ed333e0376876082022-12-21T21:56:10ZengEDP SciencesEPJ Web of Conferences2100-014X2021-01-012491401410.1051/epjconf/202124914014epjconf_pg2021_14014Bulk modulus of soft particle assemblies under compressionCantor David0Cárdenas-Barrantes Manuel1Preechawuttipong Itthichai2Renouf Mathieu3Azéma EmilienDepartment of Civil, Geological and Mining Engineering, Polytechnique MontréalLMGC, Université de Montpellier, CNRSDepartment of Mechanical Engineering, Chiang Mai UniversityLMGC, Université de Montpellier, CNRSUsing a numerical approach based on the coupling of the discrete and finite element methods, we explore the variation of the bulk modulus K of soft particle assemblies undergoing isotropic compression. As the assemblies densify under pressure-controlled boundary conditions, we show that the non-linearities of K rapidly deviate from predictions standing on a small-strain framework or the, so-called, Equivalent Medium Theory (EMT). Using the granular stress tensor and extracting the bulk properties of single representative grains under compression, we propose a model to predict the evolution of K as a function of the sample’s solid fraction and a reference state as the applied pressure P→0. The model closely reproduces the trends observed in our numerical experiments confirming the behavior scalability of soft particle assemblies from the individual particle scale. Finally, we present the effect of the interparticle friction on K’s evolution and how our model easily adapts to such a mechanical constraint.https://www.epj-conferences.org/articles/epjconf/pdf/2021/03/epjconf_pg2021_14014.pdf
spellingShingle Cantor David
Cárdenas-Barrantes Manuel
Preechawuttipong Itthichai
Renouf Mathieu
Azéma Emilien
Bulk modulus of soft particle assemblies under compression
EPJ Web of Conferences
title Bulk modulus of soft particle assemblies under compression
title_full Bulk modulus of soft particle assemblies under compression
title_fullStr Bulk modulus of soft particle assemblies under compression
title_full_unstemmed Bulk modulus of soft particle assemblies under compression
title_short Bulk modulus of soft particle assemblies under compression
title_sort bulk modulus of soft particle assemblies under compression
url https://www.epj-conferences.org/articles/epjconf/pdf/2021/03/epjconf_pg2021_14014.pdf
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AT renoufmathieu bulkmodulusofsoftparticleassembliesundercompression
AT azemaemilien bulkmodulusofsoftparticleassembliesundercompression