Inserted: 13 oct 2009
Last Updated: 15 nov 2012
Journal: ESAIM Control Optim. Calc. Var.
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