Two-scale homogenization for a model in strain gradient plasticity

Alessandro Giacomini; Alessandro Musesti

ESAIM: Control, Optimisation and Calculus of Variations (2011)

  • Volume: 17, Issue: 4, page 1035-1065
  • ISSN: 1292-8119

Abstract

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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. Solids52 (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.

How to cite

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Giacomini, Alessandro, and Musesti, Alessandro. "Two-scale homogenization for a model in strain gradient plasticity." ESAIM: Control, Optimisation and Calculus of Variations 17.4 (2011): 1035-1065. <http://eudml.org/doc/221925>.

@article{Giacomini2011,
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. Solids52 (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. },
author = {Giacomini, Alessandro, Musesti, Alessandro},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Strain gradient plasticity; periodic homogenization; two-scale convergence; quasistatic evolutions},
language = {eng},
month = {11},
number = {4},
pages = {1035-1065},
publisher = {EDP Sciences},
title = {Two-scale homogenization for a model in strain gradient plasticity},
url = {http://eudml.org/doc/221925},
volume = {17},
year = {2011},
}

TY - JOUR
AU - Giacomini, Alessandro
AU - Musesti, Alessandro
TI - Two-scale homogenization for a model in strain gradient plasticity
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2011/11//
PB - EDP Sciences
VL - 17
IS - 4
SP - 1035
EP - 1065
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. Solids52 (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.
LA - eng
KW - Strain gradient plasticity; periodic homogenization; two-scale convergence; quasistatic evolutions
UR - http://eudml.org/doc/221925
ER -

References

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