Asymptotic analysis for the multiscale modeling of defects in mechanical structures

Eduard Marenić (1) , Delphine Brancherie (1) , Marc Bonnet (2)

1 Roberval - Roberval
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

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.

Keywords: defect; asymptotic analysis; elastic moment tensor

Domains: Physics [physics]; Mechanics [physics]

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⟩