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. 409–461DOI 10.4171/JEMS/437