On periodic homogenization in perfect elasto-plasticity
Journal of the European Mathematical Society, Tome 16 (2014) no. 3, pp. 409-461
Cet article a éte moissonné depuis la source EMS Press
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.
Classification :
74-XX, 35-XX, 47-XX, 49-XX
Keywords: Elasticity, plasticity, space of bounded deformations, lower semicontinuity, Radon measures, periodic homogenization, evolution problems
Keywords: Elasticity, plasticity, space of bounded deformations, lower semicontinuity, Radon measures, periodic homogenization, evolution problems
@article{JEMS_2014_16_3_a0,
author = {Gilles A. Francfort and Alessandro Giacomini},
title = {On periodic homogenization in perfect elasto-plasticity},
journal = {Journal of the European Mathematical Society},
pages = {409--461},
year = {2014},
volume = {16},
number = {3},
doi = {10.4171/jems/437},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/437/}
}
TY - JOUR AU - Gilles A. Francfort AU - Alessandro Giacomini TI - On periodic homogenization in perfect elasto-plasticity JO - Journal of the European Mathematical Society PY - 2014 SP - 409 EP - 461 VL - 16 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/437/ DO - 10.4171/jems/437 ID - JEMS_2014_16_3_a0 ER -
%0 Journal Article %A Gilles A. Francfort %A Alessandro Giacomini %T On periodic homogenization in perfect elasto-plasticity %J Journal of the European Mathematical Society %D 2014 %P 409-461 %V 16 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4171/jems/437/ %R 10.4171/jems/437 %F JEMS_2014_16_3_a0
Gilles A. Francfort; Alessandro Giacomini. On periodic homogenization in perfect elasto-plasticity. Journal of the European Mathematical Society, Tome 16 (2014) no. 3, pp. 409-461. doi: 10.4171/jems/437
Cité par Sources :