Two-scale homogenization for a model in strain gradient plasticity

Alessandro Giacomini; Alessandro Musesti

doi:10.1051/cocv/2010036

Two-scale homogenization for a model in strain gradient plasticity

Alessandro Giacomini, Alessandro Musesti

Risultato della ricerca: Contributo in rivista › Articolo in rivista

9 Citazioni (Scopus)

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.

Lingua originale	English
pagine (da-a)	1035-1065
Numero di pagine	31
Rivista	ESAIM. COCV
DOI	https://doi.org/10.1051/cocv/2010036
Stato di pubblicazione	Pubblicato - 2011

Keywords

homogenization
plasticity

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10.1051/cocv/2010036

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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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AB - 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.

KW - homogenization

KW - plasticity

KW - homogenization

KW - plasticity

UR - http://hdl.handle.net/10807/1809

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DO - 10.1051/cocv/2010036

M3 - Article

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JO - ESAIM - Control, Optimisation and Calculus of Variations

JF - ESAIM - Control, Optimisation and Calculus of Variations

ER -

Two-scale homogenization for a model in strain gradient plasticity

Abstract

Keywords

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