Calculus of Variations and Geometric Measure Theory

G. A. Francfort - A. Giacomini

On periodic homogenization in perfect elasto-plasticity

created by giacomini on 10 Nov 2011
modified on 27 Oct 2014


Published Paper

Inserted: 10 nov 2011
Last Updated: 27 oct 2014

Journal: J. Eur. Math. Soc.
Volume: 16
Number: 3
Pages: 409-461
Year: 2014


The limit behavior of a periodic assembly of a finite number of elasto-plastic phases is investigated as the period becomes vanishingly small. A limit quasi-static evolution is derived through two-scale convergence techniques. It can be thermodynamically viewed as an elasto-plastic model, albeit with an infinite number of internal variables.

Keywords: periodic homogenization, Perfect elasto-plasticity, Two scale convergence