Calculus of Variations and Geometric Measure Theory

G. A. Francfort - A. Giacomini - A. Musesti

On the Fleck and Willis homogenization procedure in strain gradient plasticity

created by giacomini on 08 Jun 2011
modified on 14 Nov 2012


Published Paper

Inserted: 8 jun 2011
Last Updated: 14 nov 2012

Journal: Discrete Contin. Dyn. Syst. Ser. S
Volume: 6
Number: 1
Pages: 43-62
Year: 2013


We revisit the homogenization process for a heterogeneous small strain gradient plasticity model considered in 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 and Musesti, ESAIM COCV, to appear when periodicity is re-introduced.