Théorique, numérique
Due to their out-of-equilibrium nature, glassy materials keep a memory of their thermal and mechanical past. These two effects are usually discussed independently: the glass structure depends on the rate of the thermal quench from the liquid phase; the plastic behavior of an amorphousbmaterial depends on the mechanical loading it has experienced in the past. However more and more recent results suggest a strong coupling between thermal and mechanical effects. Here we propose to use a minimal model at mesoscopic scale. More specifically, we consider a simple elastoplastic lattice model [1,2] which belongs to the larger family of depinning models. Such models are based on the coupling between a stochastic dynamics at local scale and long-range elastic interactions. In the spirit of Ising-like models for magnetism or shell models for turbulence they are easy to implement numerically but rich enough to reproduce the critical behavior (avalanches, finite size effects) and the complex phenomenology of amorphous plasticity (hardening, shear-banding). Depending on the taste and the interests of the candidate the work may focus on different aspects : glass preparation ; flowing under constant stress at finite temperature (creep) ; fluidization ; polarization under stress ; localization and shear-banding ; effect of elastic disorder ; memory effects ; transition graph representation of the disordered landscape, etc.