Eshelby inclusions in granular matter: from simulations to experiments

We present a numerical implementation of an active inclusion in a granular material submitted to a biaxial test. We discuss the dependence of the response to this perturbation on two parameters: the intragranular friction coefficient on one hand, and the degree of the loading on the other hand. We compare the numerical results to theoretical predictions taking into account the change of volume of the inclusion as well as the anisotropy of the elastic matrix. We compare the results of this numerical study with experimental measurements of strain fluctuations into a granular material near failure.