Volume 80, Number 3, November 2007
|Number of page(s)||5|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||02 October 2007|
The shear modulus of wet granular matter
Ecole Normale Supérieure, Laboratoire de Physique Statistique - Paris, F-75231 France
2 van der Waals-Zeeman Institute - 1018 XE Amsterdam, The Netherlands
Accepted: 9 September 2007
The strength of different wet granular materials is investigated as a function of the liquid volume fraction by measuring the elastic shear modulus, . We show that the optimum strength is achieved at a very low liquid volume fraction of 1-3%. Surprisingly we find that the macroscopic strength of different wet granular materials depends with a power of 2/3 on the microscopic elastic modulus of the individual grains, with a power of on the radius, and with a power of 1/3 on the surface tension. This can be explained by assuming that the attractive capillary force between two grains deforms the grains elastically, yielding a “spring constant” for further deformation. Averaging over many grain-grain orientations allows us to predict the macroscopic shear modulus in excellent agreement with our experiments.
PACS: 83.80.Fg – Granular solids
© Europhysics Letters Association, 2007
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