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

被引：15

作者：

Bergheau, Jean-Michel ^{[1
]}

uchiatti, Sylvain ^{[1
]}

Roux, Jean-Christophe ^{[1
]}

Feulvarch, Eric ^{[1
]}

Tissot, Samuel ^{[2
]}

Perrin, Gilles ^{[3
]}

机构：

[1] Univ Lyon, ENISE, LTDS, UMR CNRS 5513, 58 Rue Jean Parot, F-42023 St Etienne 2, France

[2] AREVA NP, 10-12 Rue Juliette Recamier, F-69456 Lyon 06, France

[3] AREVA NP, Tour Areva, 1 Pl Jean Millier, F-92084 Paris, France

来源：

COMPTES RENDUS MECANIQUE | 2016年 / 344卷 / 11-12期

关键词：

Proper Generalized Decomposition; Space-time finite elements; Elastoplasticity; INCREMENT METHOD; MODELS; VISCOPLASTICITY; BEHAVIOR;

D O I：

10.1016/j.crme.2016.06.002

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS.

引用

页码：759 / 768

页数：10

共 27 条

[1] Solving parametric complex fluids models in rheometric flows [J].