On periodic homogenization in perfect elasto-plasticity

Gilles A. Francfort; Alessandro Giacomini

Journal of the European Mathematical Society (2014)

  • Volume: 016, Issue: 3, page 409-461
  • ISSN: 1435-9855

Abstract

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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.

How to cite

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Francfort, Gilles A., and Giacomini, Alessandro. "On periodic homogenization in perfect elasto-plasticity." Journal of the European Mathematical Society 016.3 (2014): 409-461. <http://eudml.org/doc/277568>.

@article{Francfort2014,
abstract = {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.},
author = {Francfort, Gilles A., Giacomini, Alessandro},
journal = {Journal of the European Mathematical Society},
keywords = {elasticity; plasticity; space of bounded deformations; lower semicontinuity; Radon measures; periodic homogenization; evolution problems; two-scale convergence; space of bounded deformations; lower semicontinuity; Radon measure; two-scale convergence},
language = {eng},
number = {3},
pages = {409-461},
publisher = {European Mathematical Society Publishing House},
title = {On periodic homogenization in perfect elasto-plasticity},
url = {http://eudml.org/doc/277568},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Francfort, Gilles A.
AU - Giacomini, Alessandro
TI - On periodic homogenization in perfect elasto-plasticity
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 3
SP - 409
EP - 461
AB - 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.
LA - eng
KW - elasticity; plasticity; space of bounded deformations; lower semicontinuity; Radon measures; periodic homogenization; evolution problems; two-scale convergence; space of bounded deformations; lower semicontinuity; Radon measure; two-scale convergence
UR - http://eudml.org/doc/277568
ER -

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