We introduce a mesoscopic model for the formation and evolution of shearbands in loose granular media. Numerical simulations reveal that the systemundergoes a non-trivial self-organization process which is governed by themotion of the shear band and the consequent restructuring of the material alongit. High density regions are built up, progressively confining the shear bandsin localized regions. This results in an inhomogeneous aging of the materialwith a very slow increase in the mean density, displaying an unusual glassylike system-size dependence.
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