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, 2011] when periodicity is reintroduced.
Musesti, A., Giacomini, A., Francfort, G., On the Fleck and Willis homogenization procedure in strain gradient plasticity, <<DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S>>, 2013; 6 (1): 43-62. [doi:10.3934/dcdss.2013.6.43] [http://hdl.handle.net/10807/41807]
On the Fleck and Willis homogenization procedure in strain gradient plasticity
Musesti, Alessandro;Giacomini, Alessandro;
2012
Abstract
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, 2011] when periodicity is reintroduced.
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