Comptes Rendus
no. 6
Elastic modulus of a colloidal suspension of rigid spheres at rest

Presented by: André Zaoui

Laurentiu Pasol1; Xavier Chateau2 
1 Laboratoire physique thermique-ESPCI, 10, rue Vauquelin, 75231 Paris cedex 05, France
2 Institut Navier, Laboratoire des matériaux et des structures du génie civil, 2, allée Kepler, 77420 Champs-sur-Marne, France
Comptes Rendus. Mécanique, Volume 336 (2008) no. 6, pp. 512-517.

By modeling a colloidal suspension at rest as a solid, a new expression for the linear elastic modulus is obtained. This estimate is valid for a yield stress colloidal suspension submitted to a small strain. Interestingly, it is also possible to construct an hypothesis allowing one to recover the high-frequency modulus classically found by means of a classical ‘fluid approach’. However, in most of the situations, the moduli obtained by the two approaches are different.

En modélisant une suspension colloïdale au repos comme un solide, on obtient une nouvelle expression pour le module d'élasticité linéaire. Cette expression permet d'estimer le module d'une suspension colloïdale possédant un seuil d'écoulement soumise à une déformation infinitésimale. On montre également que sous certaines hypothèses, cette approche permet de retrouver l'expression du module élastique à grande fréquence obtenu par une approche classique de type fluide.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2008.03.001
Keywords: Rheology, Colloidal suspension, Elastical modulus
Mots-clés : Rhéologie, Suspension colloïdale, Module d'élasticité

Laurentiu Pasol 1; Xavier Chateau 2

1 Laboratoire physique thermique-ESPCI, 10, rue Vauquelin, 75231 Paris cedex 05, France
2 Institut Navier, Laboratoire des matériaux et des structures du génie civil, 2, allée Kepler, 77420 Champs-sur-Marne, France 
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Laurentiu Pasol; Xavier Chateau. Elastic modulus of a colloidal suspension of rigid spheres at rest. Comptes Rendus. Mécanique, Volume 336 (2008) no. 6, pp. 512-517. doi : 10.1016/j.crme.2008.03.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.03.001/

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