Elastic consequences of a single plastic event : a step towards the microscopic modeling of the flow of yield stress fluids

TL;DR

This paper investigates the elastic effects of individual plastic events in yield stress fluids, aiming to develop microscopic models of their flow by analyzing long-range elastic perturbations and boundary effects.

Contribution

It provides analytical insights into how single plastic events induce elastic disturbances and how walls and finite size influence these effects, advancing microscopic modeling of flow in yield stress fluids.

Findings

Plastic events cause long-range elastic perturbations.

Walls significantly modify the elastic response.

Finite size effects are quantitatively characterized.

Abstract

With the eventual aim of describing flowing elasto-plastic materials, we focus on the elementary brick of such a flow, a plastic event, and compute the long-range perturbation it elastically induces in a medium submitted to a global shear strain. We characterize the effect of a nearby wall on this perturbation, and quantify the importance of finite size effects. Although for the sake of simplicity most of our explicit formulae deal with a 2D situation, our statements hold for 3D situations as well.