Asymptotic analysis for the multiscale modeling of defects in mechanical structures

Eduard Marenić 1 Delphine Brancherie 1 Marc Bonnet 2
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : This research is a first step towards designing a numerical strategy capable of assessing the nocivity of a small defect in terms of its size and position in the structure with low computational cost, using only a mesh of the defect-free reference structure. The proposed strategy aims at taking into account the modification induced by the presence of a small defect through displacement field correction using an asymptotic analysis. Such an approach would allow to assess the criticality of defects by introducing trial micro-defects with varying positions, sizes and mechanical properties.
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Eduard Marenić, Delphine Brancherie, Marc Bonnet. Asymptotic analysis for the multiscale modeling of defects in mechanical structures. 12e Colloque national en calcul des structures, CSMA, May 2015, Giens, France. ⟨hal-01516460⟩

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