This paper details the development of the Proper Generalized Decomposition as a space–time integrator of elastoplastic problems and shows its ability to determine the elastoplastic states resulting from cyclic loadings. The first part of this paper recalls the step-by-step resolution in time of an elastoplastic problem. The implementation of the Proper Generalized Decomposition is then developed in a second part. In the last third part, applications and numerical simulations are presented to show the relevance of the method.
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@article{CRMECA_2016__344_11-12_759_0,
author = {Jean-Michel Bergheau and Sylvain Zuchiatti and Jean-Christophe Roux and \'Eric Feulvarch and Samuel Tissot and Gilles Perrin},
title = {The {Proper} {Generalized} {Decomposition} as a space{\textendash}time integrator for elastoplastic problems},
journal = {Comptes Rendus. M\'ecanique},
pages = {759--768},
publisher = {Elsevier},
volume = {344},
number = {11-12},
year = {2016},
doi = {10.1016/j.crme.2016.06.002},
language = {en},
}
TY - JOUR AU - Jean-Michel Bergheau AU - Sylvain Zuchiatti AU - Jean-Christophe Roux AU - Éric Feulvarch AU - Samuel Tissot AU - Gilles Perrin TI - The Proper Generalized Decomposition as a space–time integrator for elastoplastic problems JO - Comptes Rendus. Mécanique PY - 2016 SP - 759 EP - 768 VL - 344 IS - 11-12 PB - Elsevier DO - 10.1016/j.crme.2016.06.002 LA - en ID - CRMECA_2016__344_11-12_759_0 ER -
%0 Journal Article %A Jean-Michel Bergheau %A Sylvain Zuchiatti %A Jean-Christophe Roux %A Éric Feulvarch %A Samuel Tissot %A Gilles Perrin %T The Proper Generalized Decomposition as a space–time integrator for elastoplastic problems %J Comptes Rendus. Mécanique %D 2016 %P 759-768 %V 344 %N 11-12 %I Elsevier %R 10.1016/j.crme.2016.06.002 %G en %F CRMECA_2016__344_11-12_759_0
Jean-Michel Bergheau; Sylvain Zuchiatti; Jean-Christophe Roux; Éric Feulvarch; Samuel Tissot; Gilles Perrin. The Proper Generalized Decomposition as a space–time integrator for elastoplastic problems. Comptes Rendus. Mécanique, Volume 344 (2016) no. 11-12, pp. 759-768. doi : 10.1016/j.crme.2016.06.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.06.002/
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