Avalanche localization and crossover scaling in amorphous plasticity

TL;DR

This paper investigates how avalanches in amorphous plasticity transition from mean-field behavior to a different universality class near the yielding point, highlighting the role of strain localization and interaction kernel properties.

Contribution

It demonstrates the crossover in avalanche scaling behavior in amorphous materials and links it to strain localization and the nature of elastic interactions.

Findings

Avalanche scaling crosses over from mean-field to a different universality class.

Strain localization influences the scaling behavior.

Short-range properties of the interaction kernel affect localization and scaling.

Abstract

We perform large scale simulations of a two dimensional lattice model for amorphous plasticity with random local yield stresses and long-range quadrupolar elastic interactions. We show that as the external stress increases towards the yielding phase transition, the scaling behavior of the avalanches crosses over from mean-field theory to a different universality class. This behavior is associated with strain localization, which significantly depends on the short-range properties of the interaction kernel.