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...
Main Authors: | , , , , |
---|---|
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 |
_version_ | 1818676648428437504 |
---|---|
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. |
first_indexed | 2024-12-17T08:46:49Z |
format | Article |
id | doaj.art-8170b82bea5240b78ed333e037687608 |
institution | Directory Open Access Journal |
issn | 2100-014X |
language | English |
last_indexed | 2024-12-17T08:46:49Z |
publishDate | 2021-01-01 |
publisher | EDP Sciences |
record_format | Article |
series | EPJ Web of Conferences |
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 |
work_keys_str_mv | AT cantordavid bulkmodulusofsoftparticleassembliesundercompression AT cardenasbarrantesmanuel bulkmodulusofsoftparticleassembliesundercompression AT preechawuttipongitthichai bulkmodulusofsoftparticleassembliesundercompression AT renoufmathieu bulkmodulusofsoftparticleassembliesundercompression AT azemaemilien bulkmodulusofsoftparticleassembliesundercompression |