On periodic homogenization in perfect elasto-plasticity

  • Gilles A. Francfort

    Université Paris-Nord, Villetaneuse, France
  • Alessandro Giacomini

    Università degli Studi di Brescia, Italy


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.

Cite this article

Gilles A. Francfort, Alessandro Giacomini, On periodic homogenization in perfect elasto-plasticity. J. Eur. Math. Soc. 16 (2014), no. 3, pp. 409–461

DOI 10.4171/JEMS/437