On the Fleck and Willis homogenization procedure in strain gradient plasticity

Gilles A. Francfort; Alessandro Musesti; Alessandro Giacomini

doi:10.3934/dcdss.2013.6.43

On the Fleck and Willis homogenization procedure in strain gradient plasticity

Gilles A. Francfort, Alessandro Musesti, Alessandro Giacomini

Université Paris 13

Risultato della ricerca: Contributo in rivista › Articolo › peer review

2 Citazioni (Scopus)

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.

Lingua originale	Inglese
pagine (da-a)	43-62
Numero di pagine	20
Rivista	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S
Volume	6
DOI	https://doi.org/10.3934/dcdss.2013.6.43
Stato di pubblicazione	Pubblicato - 2012

Keywords

H-convergence
Homogenization
gradient plasticity

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10.3934/dcdss.2013.6.43

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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.",

keywords = "H-convergence, Homogenization, gradient plasticity, H-convergence, Homogenization, gradient plasticity",

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AU - Musesti, Alessandro

AU - Giacomini, Alessandro

PY - 2012

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N2 - 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.

AB - 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.

KW - H-convergence

KW - Homogenization

KW - gradient plasticity

KW - H-convergence

KW - Homogenization

KW - gradient plasticity

UR - http://hdl.handle.net/10807/41807

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DO - 10.3934/dcdss.2013.6.43

M3 - Article

SN - 1937-1632

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EP - 62

JO - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S

JF - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S

ER -

On the Fleck and Willis homogenization procedure in strain gradient plasticity

Abstract

Keywords

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