Volume 17, Number 4, October-December 2011
|Page(s)||1035 - 1065|
|Published online||28 October 2010|
Two-scale homogenization for a model in strain gradient plasticity
Matematica, Facoltà di Ingegneria, Università degli Studi di
Brescia, Via Valotti 9, 25133 Brescia, Italy. email@example.com
2 Dipartimento di Matematica e Fisica “Niccolò Tartaglia”, Università Cattolica del Sacro Cuore, Via dei Musei 41, 25121 Brescia, Italy. firstname.lastname@example.org
Revised: 2 April 2010
Revised: 5 May 2010
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 52 (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.
Mathematics Subject Classification: 74C05 / 74G65 / 74Q05 / 35B27 / 49J45
Key words: Strain gradient plasticity / periodic homogenization / two-scale convergence / quasistatic evolutions
© EDP Sciences, SMAI, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.