An enhanced nonlinear multi-scale strategy for the simulation of buckling and delamination on 3D composite plates

This paper is devoted to the study of a micro-macro LaTIn-based Domain Decomposition Method for which the partitioning, the geometry and the boundary conditions play a major role in the number of iterations to convergence and in the scalability. To confront these obstacles, an analysis of the macroscopic space and of the search direction-two parameters of the strategy-is proposed for traction, bending and buckling examples. Then, we propose a new search direction which takes into account the global stiffness of the structure and that limits the need to enrich the macroscopic space. This choice leads to a minimal number of iterations, a reduced computation time and the scalability of the strategy. The enhanced parameter is then applied to the simulation of combined buckling and delamination of a composite 3D plate.