Towards a Complete Mean-Field Theory for the Ductile and Brittle Yielding of Amorphous Solids

Explore a comprehensive talk on developing a unified theory for ductile and brittle yielding in amorphous materials. Delve into the challenges of non-equilibrium statistical physics and the proposed connection to the Random Field Ising Model (RFIM). Examine the limitations of current theoretical models and discover a new unified approach based on the Hébraud-Lequeux elastoplastic description. Investigate the dynamics of plastic rearrangements, the role of elasticity-induced long-range interactions, and their impact on avalanche behavior. Learn about the macroscopic stress drop, peak susceptibility, and system size effects in the quasistatic driving limit. Compare the proposed model's predictions with particle simulations and explore the nature of the critical point separating ductile and brittle yielding. Gain insights into the complex interplay between finite-size effects, marginality, and critical behavior in amorphous materials undergoing deformation.