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
Abstract:
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
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