On a multiscale strategy and its optimization for the simulation of combined delamination and buckling

TL;DR

This paper develops a multiscale computational strategy incorporating geometric nonlinearities to accurately simulate delamination and buckling interactions in composite laminates, ensuring rapid convergence and scalability.

Contribution

It introduces a nonlinear finite element formulation with a multiscale domain decomposition method for large, nonlinear 3D models including buckling effects.

Findings

Effective inclusion of geometric nonlinearities in multiscale delamination models

Enhanced convergence and scalability of the iterative scheme

Successful simulation of large-scale nonlinear problems with many DOFs

Abstract

This paper investigates a computational strategy for studying the interactions between multiple through-the-width delaminations and global or local buckling in composite laminates taking into account possible contact between the delaminated surfaces. In order to achieve an accurate prediction of the quasi-static response, a very refined discretization of the structure is required, leading to the resolution of very large and highly nonlinear numerical problems. In this paper, a nonlinear finite element formulation along with a parallel iterative scheme based on a multiscale domain decomposition are used for the computation of 3D mesoscale models. Previous works by the authors already dealt with the simulation of multiscale delamination assuming small perturbations. This paper presents the formulation used to include geometric nonlinearities into this existing multiscale framework and discusses the adaptations that need to be made to the iterative process in order to ensure the rapid convergence and the scalability of the method in the presence of buckling and delamination. These various adaptations are illustrated by simulations involving large numbers of DOFs.