What is it about?

In suspension of particles, there are famous relationships connecting the concentration of particles in a solvent to the elastic modulus, the yield strain and the yield stress. These relationships take the form of a power-law of the particle concentration where the exponent depends on coefficients describing the microstructural arrangements of the particles. Here, we proposed to extend these models for non-packed aggregates of particles to make the characteristic length influence the macroscopic behaviour.

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Why is it important?

We propose to consider again the assumptions of such models which were proposed 30 years ago and are widely used in the community. Recent experimental discoveries showed the limit of such models thus we tackled the gap to reconciliate experimental data and the models.


As it is a first step to reconsider the widely known models, we hope that it will pave the way to future investigations about theory, experiments and simulations. We also aim for the investigation of the consequences of such new microstructure in different conditions. It can bring new effect that one may have not suceeded to explain yet.

Louis-Vincent Bouthier
Mines Paris PSL

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This page is a summary of: Proposition of extension of models relating rheological quantities and microscopic structure through the use of a double fractal structure, Physics of Fluids, August 2022, American Institute of Physics, DOI: 10.1063/5.0101750.
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