Multiscale analysis of instabilities in heterogeneous materials using ANM and multilevel FEM
DOI:
https://doi.org/10.13052/17797179.2012.727350Keywords:
asymptotic numerical method, nonlinear homogenisation, multiscale finite element method, instabilities, bucklingAbstract
In this study, we propose a numerical technique which combines a perturbation approach (asymptotic numerical method) and a multilevel finite element analysis. This procedure allows dealing with instability phenomena in the context of heterogeneous materials where buckling may occur at both macroscopic and/or microscopic scales. Different constitutive relations are applied and geometrical non-linearity is taken into account at both scales. Numerical examples involving instabilities at both micro and macro levels are presented.
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