  We present the experimental studies of highly strained soft bidisperse
granular systems made of hyperelastic and plastic particles. We explore the
behavior of granular matter deep in the jammed state from local field
measurement from the grain scale to the global scale. By mean of digital image
correlation and accurate image recording we measure for each compression step
the evolution of the particle geometries and their right Cauchy-Green strain
tensor fields. We analyze the evolution of the usual macroscopic observables
(stress, packing fraction, coordination, fraction of non-rattlers,
\textit{etc}.) along the compression process through the jamming point and far
beyond. We also analyze the evolution of the local strain statistics and
evidence a crossover in the material behavior deep in the jammed state. We show
that this crossover depends on the particle material. We argue that the strain
field is a reliable observable to describe the evolution of a granular system
through the jamming transition and deep in the dense packing state whatever is
the material behavior.
