On the energetic formulation of the Gurtin and Anand model in strain gradient plasticity

Alessandro Giacomini

doi:10.3934/dcdsb.2012.17.527

Article Contents

2012, Volume 17, Issue 2: 527-552. Doi: 10.3934/dcdsb.2012.17.527

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On the energetic formulation of the Gurtin and Anand model in strain gradient plasticity

Alessandro Giacomini^1,

1.
Dipartimento di Matematica, Facoltà di Ingegneria, Università degli Studi di Brescia, Via Valotti 9, 25133 Brescia

Received: June 30, 2010

Revised: August 31, 2011

Published: February 2012

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Abstract

We discuss the energetic formulation of the Gurtin and Anand model (J. Mech. Phys. Solids, 2005) in strain gradient plasticity, and illustrate the related mathematical analysis concerning the existence of quasi-static evolutions.

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Mathematics Subject Classification: Primary: 35A15, 49J45, 74C05, 74G65.

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