Internal Stress in a Model Elasto-Plastic Fluid

TL;DR

This paper introduces a new way to define and analyze internal stress in a 2D elasto-plastic fluid model, showing how it is generated and affects material behavior under external loads.

Contribution

It proposes a natural definition of vorticity of internal stress and demonstrates its role in the plastic response of the material.

Findings

Internal stress is induced by external loading.

Internal stress modifies the plastic behavior.

Vorticity of internal stress provides insight into stress memory.

Abstract

Plastic materials can carry memory of past mechanical treatment in the form of internal stress. We introduce a natural definition of the vorticity of internal stress in a simple two-dimensional model of elasto-plastic fluids, which generates the internal stress. We demonstrate how the internal stress is induced under external loading, and how the presence of the internal stress modifies the plastic behavior.