A 2D Fourier double scale analysis of global-local instability interaction in sandwich structures

In this paper, we present a 2D Fourier double scale analysis of global-local instability interaction in sandwich structures. By this way, a 2D microscopical sandwich model is transformed into a new 2D macroscopical one and only the envelopes of instability patterns are numerically evaluated. This new nonlinear macroscopic 2D model of sandwich structures is then solved by the Asymptotic Numerical Method ANM [7]. The proposed 2D Fourier double scale model of sandwich structures is compared with the 1D Fourier double scale model of sandwich structures of Liu et al. [8] and with the 2D microscopical model. Mots clefs : Macroscopical model ; Fourier double scale analysis ; buckling wrinkling interaction.