Calculus of Variations and Geometric Measure Theory

A. Giacomini - A. Musesti

Two-scale homogenization for a model in strain gradient plasticity

created by giacomini on 13 Oct 2009
modified on 15 Nov 2012


Published Paper

Inserted: 13 oct 2009
Last Updated: 15 nov 2012

Journal: ESAIM Control Optim. Calc. Var.
Volume: 17
Pages: 1035-1065
Year: 2011
Doi: 10.1051/cocv/2010036


Using the tool of two-scale convergence, we provide a rigorous mathematical setting for the homogenization result obtained by Fleck and Willis (J. Mech. Phys. Solids, 2004) concerning the effective plastic behaviour of a strain gradient composite material. Moreover, moving from deformation theory to flow theory, we prove a convergence result for the homogenization of quasistatic evolutions in the presence of isotropic linear hardening.

Keywords: Two-scale convergence, quasistatic evolutions, periodic homogenization, strain gradient plasticity