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.
Giacomini, A., Musesti, A., Two-scale homogenization for a model in strain gradient plasticity, <<ESAIM. COCV>>, 2011; (17): 1035-1065. [doi:10.1051/cocv/2010036] [http://hdl.handle.net/10807/1809]
Two-scale homogenization for a model in strain gradient plasticity
Giacomini, Alessandro;Musesti, Alessandro
2011
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.
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