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International Journal for Multiscale Computational Engineering
Facteur d'impact: 1.016 Facteur d'impact sur 5 ans: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v6.i3.50
pages 251-262

A Nonlinear Dual-Domain Decomposition Method: Application to Structural Problems with Damage

J. Pebrel
LMT-Cachan (ENS Cachan/CNRS UMR8535/UPMC/PRES UniverSud Paris), F-94235 Cachan CEDEX, France
Christian Rey
LMT-Cachan (ENS Cachan/CNRS UMR8535/UPMC/PRES UniverSud Paris), F-94235 Cachan CEDEX, France
P. Gosselet
LMT-Cachan (ENS Cachan/CNRS UMR8535/UPMC/PRES UniverSud Paris), F-94235 Cachan CEDEX, France

RÉSUMÉ

A dual-domain decomposition method dedicated to nonlinear problems is presented. The decomposition is introduced in the nonlinear formulation, and the nonlinear problem is first condensed on the interface then solved by a Newton-type method. Considering the specificities of the introduced operators, the algorithm can be interpreted as a local/global strategy with global Newton-type iterations and nonlinear relocalizations per subdomain. Such a strategy is particularly interesting in cases where the nonlinearity is localized. First results are presented on structural problems with damage.