Non-intrusive and exact global/local techniques for structural problems with local plasticity

Lionel Gendre (1) , Olivier Allix (1) , Pierre Gosselet (1) , François Comte (2)

1 LMT - Laboratoire de Mécanique et Technologie
2 SNECMA Villaroche [Moissy-Cramayel]

This paper introduces a computational strategy to solve structural problems featuring nonlinear phenomena that occur within a small area, while the rest of the structure retains a linear elastic behavior. Two finite element models are defined: a global linear model of the whole structure, and a local nonlinear “submodel” meant to replace the global model in the nonlinear area. An iterative coupling technique is then used to perform this replacement in an exact but non-intrusive way, which means the model data sets are never modified and the computations can be carried out with standard finite element software. Several ways of exchanging data between the models are discussed and their convergence properties are investigated on two examples.

Mots clés: finite element; elastic-plastic; successive approximations

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

Lionel Gendre, Olivier Allix, Pierre Gosselet, François Comte. Non-intrusive and exact global/local techniques for structural problems with local plasticity. Computational Mechanics, 2009, 44 (2), pp.233-245. ⟨10.1007/s00466-009-0372-9⟩. ⟨hal-00437023⟩