Geodesic
Two-scale homogenization for a model in strain gradient plasticity
ESAIM: Control, Optimisation and Calculus of Variations, Tome 17 (2011) no. 4, pp. 1035-1065

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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 52 (2004) 1855-1888] 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.

DOI : 10.1051/cocv/2010036
Classification : 74C05, 74G65, 74Q05, 35B27, 49J45
Keywords: strain gradient plasticity, periodic homogenization, two-scale convergence, quasistatic evolutions 
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     title = {Two-scale homogenization for a model in strain gradient plasticity},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {1035--1065},
     publisher = {EDP-Sciences},
     volume = {17},
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     year = {2011},
     doi = {10.1051/cocv/2010036},
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Giacomini, Alessandro; Musesti, Alessandro. Two-scale homogenization for a model in strain gradient plasticity. ESAIM: Control, Optimisation and Calculus of Variations, Tome 17 (2011) no. 4, pp. 1035-1065. doi: 10.1051/cocv/2010036

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