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In this letter, we report on an experimental study which analyzes thecompressive behavior of 2D bidisperse granular assemblies made of soft(hyperelastic) and hard grains in varying proportions ($\kappa$). By means of arecently developed uniaxial compression set-up \cite{vu2019_pre} and usingadvanced Digital Image Correlation (DIC) method, we follow, beyond the jammingpoint, the evolution of the main mechanical observables, from the global scaledown to the strain field inside each deformable grain. First, we experimentallyvalidate and extend to the uni-axial case a recently proposed micro-mechanicalcompaction model linking the evolution of the applied pressure $P$ to thepacking fraction $\phi$ \cite{cantor2020_prl}. Second, we reveal two differentlinear regimes depending on whether the system is above or below a cross-overstrain unraveling a transition from a discrete to a continuous-like system.Third, the evolution of these linear laws are found to vary linearly with$\kappa$, up to a saturation point around $\kappa=80$\% of hard particles.These results provide a comprehensive experimental and theoretical frameworkthat can now be extended to a more general class of polydisperse soft granularsystems.

Experimental validation of a micromechanically-based compaction law for soft/hard grain mixtures