A novel nonlocal reduction-based coupling approach via Arlequin method on instability patterns

Fan Xu (1) , Salim Belouettar (2) , Heng Hu (3) , Michel Potier-Ferry (1)

1 LEM3 - Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux
2 CRP Henri-Tudor - Centre de Recherche Public Henri-Tudor [Luxembourg]
3 School of Civil Engineering

A Fourier-related nonlocal reduction-based coupling, using the bridging domain methodology , is investigated to analyze the influence of boundary conditions on wrinkling patterns. The nonlocal reduction-based coupling approach is based on the well-known Arlequin framework. The analysis of the effect of boundary conditions on instability patterns is then provided. Numerical evaluation of the non-local reduction-based coupling approach is proposed by considering the case of buckling of a long beam lying on a nonlinear elastic foundation.

Mots clés: buckling; arlequin method; multi-scale; nonlocal; boundary effect; fourier transform

Domaines: Mécanique [physics]

Fan Xu, Salim Belouettar, Heng Hu, Michel Potier-Ferry. A novel nonlocal reduction-based coupling approach via Arlequin method on instability patterns. 11e colloque national en calcul des structures, CSMA, May 2013, Giens, France. ⟨hal-01722112⟩