Asymptotic analysis for criticality assessment 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

The presented work is a 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 would allow to assess the criticality of defects by introducing trial micro-defects with varying positions, sizes and me- chanical properties. The main focus of the this work is to present two computational scenarios allowing to efficiently evaluate criticality considering the effect of either a fixed flaw on a region of interest or varying flaws on a fixed evaluation point.

Mots clés: defect; asymptotic analysis; elastic moment tensor

Domaines: Mécanique des structures [physics.class-ph]

Eduard Marenić, Delphine Brancherie, Marc Bonnet. Asymptotic analysis for criticality assessment of defects in mechanical structures. 13e colloque national en calcul des structures, Université Paris-Saclay, May 2017, Giens, Var, France. ⟨hal-01922597⟩