The Proper Generalized Decomposition as a space-time integrator for elastoplastic problems

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• 作者：Jean-Michel Bergheau^a ; ^{jean-michel.bergheau@enise.fr" class="auth_mail" title="E-mail the corresponding author} ; Sylvain Zuchiatti^a ; ^{sylvain.zuchiatti@enise.fr" class="auth_mail" title="E-mail the corresponding author} ; Jean-Christophe Roux^a ; ^{jean-christophe.roux@enise.fr" class="auth_mail" title="E-mail the corresponding author} ; É ; ric Feulvarch^a ; ^{eric.feulvarch@enise.fr" class="auth_mail" title="E-mail the corresponding author} ; Samuel Tissot^b ; ^{samuel.tissot@areva.com" class="auth_mail" title="E-mail the corresponding author} ; Gilles Perrin^c ; ^{gilles.perrin@areva.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Proper Generalized Decomposition ; Space&ndash ; time finite elements ; Elastoplasticity
• 刊名：Comptes Rendus Mécanique
• 出版年：2016
• 出版时间：November-December 2016
• 年：2016
• 卷：344
• 期：11-12
• 页码：759-768
• 全文大小：1215 K

文摘

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.