Open AccessMultiscale analysis of instabilities in heterogeneous materials using ANM and multilevel FEM
Author(s) -
Saeid Nezamabadi,
Hamid Zahrouni,
Julien Yvonnet,
Michel PotierFerry
Publication year - 2012
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/17797179.2012.727350
Subject(s) - finite element method , instability , buckling , context (archaeology) , perturbation (astronomy) , macro , numerical analysis , statistical physics , mathematics , computer science , mechanics , structural engineering , physics , mathematical analysis , engineering , geology , paleontology , quantum mechanics , programming language
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.