On the Fleck and Willis homogenization procedure in strain gradient plasticity

Gilles A. Francfort; Alessandro Giacomini; Alessandro Musesti

doi:10.3934/dcdss.2013.6.43

Article Contents

2013, Volume 6, Issue 1: 43-62. Doi: 10.3934/dcdss.2013.6.43

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On the Fleck and Willis homogenization procedure in strain gradient plasticity

1.
LAGA, Université Paris-Nord, Avenue J.-B. Clément 93430, Villetaneuse
2.
Dipartimento di Matematica, Facoltà di Ingegneria, Università degli Studi di Brescia, Via Valotti 9, 25133 Brescia
3.
Dipartimento di Matematica e Fisica “Niccolò Tartaglia", Università Cattolica del Sacro Cuore, Via dei Musei 41, 25121 Brescia

Received: May 2011

Revised: July 2011

Published: February 2013

Abstract / Introduction Related Papers Cited by

Abstract

We revisit the homogenization process for a heterogeneous small strain gradient plasticity model considered in [5]. We derive a precise homogenized behavior, independently of any kind of periodicity assumption and demonstrate that it reduces to a model studied in [8] when periodicity is re-introduced.

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Mathematics Subject Classification: Primary: 74Q05, 74C05; Secondary: 35B27.

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References

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