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arXiv · 2609.31404

Periodic homogenization in scalar Hencky plasticity

Gilles A. Francfort·Alessandro Giacomini
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Abstract

This paper investigates the periodic homogenization of a two-phase elasto-plastic material in the framework of $Γ$-convergence. It establishes the link between the homogenized functional and that which was previously obtained in [12] in the context of two-scale convergence. Although there is no gap between the two formulations and that involving two-scale has the hallmark of a (two-scale) elasto-plastic problem, we are unable to positively ascertain the elasto-plastic character of the homogenized energy except in a one-dimensional setting.

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Gilles A. Francfort, Alessandro Giacomini. 2026-09-25. Periodic homogenization in scalar Hencky plasticity. https://arxiv.org/abs/2609.31404

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