Coarse-graining amorphous plasticity: shear-banding and rejuvenation

The plastic behavior of glasses and disordered solids displays a rich and complex phenomenology, from scale free avalanches to localization of the strain field in shear bands. The recent years have seen an increasing effort of modeling of these phenomena at different length and time scales. In complement of numerous numerical simulations at atomistic scale of model or more realistic glasses, a new class of lattice models has emerged at mesoscopic scale that rely on the coupling between a local threshold dynamics and elastic interactions. The latter "Eshelby" interaction is associated to the internal stress induced by local rearrangeùment taking place in the surrounding elastic matrix and is characterized by a quadrupolar symmetry. While these lattice models reproduce most of the phenomenology observed in amorphous plasticity, a quantitative link remains to be done with atomistic sipmulations. Here we use a technique recently developed to characterize local yield stress in atomistic simulations to propose and study the quantitative connection between simulations operationg at atomistic and mesocopic scales.