Local-Global approaches. The Arlequin method

Hachmi Ben Dhia (1)

1 MSSMat - Laboratoire de mécanique des sols, structures et matériaux

Numerical approaches allowing for the local analysis of global models are listed, the Arlequin method being the topic of focus. By superposing mechanical states sharing energies, this method generates a partition of models framework that gives a consistent ``plasticity'' to the classical mechanical and numerical (mono-)modelling. It consists in a family of formulations of mechanical problems, each of them being derived by combining basic bricks whose choices are rigorously analysed. The effectiveness of this partition of models framework to allow concurrent multimodel and multiscale analysis is exemplified.

Domaines: Matériaux et structures en mécanique [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]

Hachmi Ben Dhia. Local-Global approaches. The Arlequin method. 5ème Colloque National de Calcul des Structures, Giens 2005, May 2005, Giens (Var), France. ⟨hal-00281019⟩