# Homogenization and the limit of vanishing hardening in Hencky plasticity with non-convex potentials

## TL;DR

This paper proves a homogenization result for Hencky plasticity functionals with non-convex potentials and shows that the processes of homogenization and vanishing hardening limit commute, revealing insights into material behavior.

## Contribution

It introduces a homogenization framework for Hencky plasticity with non-convex potentials and demonstrates the commutativity of homogenization and vanishing hardening limits.

## Key findings

- Homogenization results for Hencky plasticity with non-convex potentials.
- The vanishing hardening limit commutes with homogenization.
- Insights into the asymptotic behavior of materials under small hardening.

## Abstract

We prove a homogenization result for Hencky plasticity functionals with non-convex potentials. We also investigate the influence of a small hardening parameter and show that homogenization and taking the vanishing hardening limit commute.