Calculus of Variations and Geometric Measure Theory

A. Giacomini - L. Lussardi

Quasistatic evolution for a model in strain gradient plasticity

created by giacomini on 14 Nov 2007
modified by lussardi on 30 Oct 2008


Published Paper

Inserted: 14 nov 2007
Last Updated: 30 oct 2008

Journal: SIAM-J. Math. Anal.
Volume: 40
Number: 3
Pages: 1201-1245
Year: 2008


We prove the existence of a quasistatic evolution for a model in strain gradient plasticity proposed by Gurtin and Anand concerning isotropic, plastically irrotational materials under small deformations. This is done by means of the energetic approach to rate-independent evolution problems. Moreover, we study the asymptotic behavior of the evolution as the strain gradient length scales tend to zero recovering in the limit a quasistatic evolution in perfect plasticity.

Keywords: variational models, quasistatic evolution, energy minimization, higher order stresses