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This paper deals with the parallel simulation of delamination problems at themeso-scale by means of multi-scale methods, the aim being the VirtualDelamination Testing of Composite parts. In the non-linear context, DomainDecomposition Methods are mainly used as a solver for the tangent problem to besolved at each iteration of a Newton-Raphson algorithm. In case of stronglynonlinear and heterogeneous problems, this procedure may lead to severedifficulties. The paper focuses on methods to circumvent these problems, whichcan now be expressed using a relatively general framework, even though thedifferent ingredients of the strategy have emerged separately. We rely here onthe micro-macro framework proposed in (Ladev\`eze, Loiseau, and Dureisseix,2001). The method proposed in this paper introduces three additional features:(i) the adaptation of the macro-basis to situations where classicalhomogenization does not provide a good preconditioner, (ii) the use ofnon-linear relocalization to decrease the number of global problems to besolved in the case of unevenly distributed non-linearities, (iii) theadaptation of the approximation of the local Schur complement which governs theconvergence of the proposed iterative technique. Computations of delaminationand delamination-buckling interaction with contact on potentially largedelaminated areas are used to illustrate those aspects.

Virtual Delamination Testing through Non-Linear Multi-Scale Computational Methods: Some Recent Progress