On the Fleck and Willis homogenization procedure in strain gradient plasticity

We revisit the homogenization process for a heterogeneous small strain gradient plasticity model considered by Fleck and Willis (JMPS, 2004). We derive a precise homogenized behavior, independently of any kind of periodicity assumption and demonstrate that it reduces to a model studied in Giacomini-Musesti (ESAIM COCV, 2011) when periodicity is re-introduced.