A Domain Decomposition Method for problems with structural heterogeneities on the interface: Application to a passenger ship

Ahmad Mobasher Amini (1) , David Dureisseix (2, 3) , Patrice Cartraud (1) , Natacha Buannic (4)

1 GeM - Institut de Recherche en Génie Civil et Mécanique
2 LMGC - Laboratoire de Mécanique et Génie Civil
3 ThM2 - ThermoMécanique des Matériaux
4 Principia Marine

In this article, we extend a domain decomposition method, based on the FETI-DP linear solver, to applications such as passenger ship analysis. More generally, the method is designed for large-scale elastic analysis of a structure which exhibits geometrical and structural heterogeneities, such as plate and stiffener assemblies in presence of structural details. The problem of the structural heterogeneities on the subdomain interfaces, arising from the presence of stiffeners or elastic joints on these interfaces, is addressed. A suited interface connection between subdomains modeled with plate elements in the case of a 3D assembling is proposed and tested. The selection of an efficient preconditioner is presented, and the performances and results are discussed in terms of convergence rate for several examples.

Mots clés: Domain Decomposition Method; FETI-DP; preconditioning; structural heterogeneity; ship structure

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

Ahmad Mobasher Amini, David Dureisseix, Patrice Cartraud, Natacha Buannic. A Domain Decomposition Method for problems with structural heterogeneities on the interface: Application to a passenger ship. Computer Methods in Applied Mechanics and Engineering, 2008, 198 (41-44), pp.3452-3463. ⟨10.1016/j.cma.2009.06.020⟩. ⟨hal-00510475⟩