A nonlinear dual domain decomposition method : application to structural problems with damage

Julien Pebrel (1) , Christian Rey (1) , Pierre Gosselet (1)

1 LMT - Laboratoire de Mécanique et Technologie

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.

Mots clés: Nonlinear Domain Decomposition; Dual Approach

Domaines: Mécanique des structures [physics.class-ph]

Julien Pebrel, Christian Rey, Pierre Gosselet. A nonlinear dual domain decomposition method : application to structural problems with damage. International Journal for Multiscale Computational Engineering, 2008, 6 (3), pp.251-262. ⟨hal-00344445⟩