# 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

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topGiacomini, 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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