A new Fourier-related double scale analysis for instability phenomena in sandwich structures

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:49

Article

Liu, Yin¹  Yu, Kun¹  Hu, Heng¹  Belouettar, Salim²  Potier-Ferry, Michel³  Damil, Noureddine⁴ 

[1] Wuhan Univ, Sch Civil Engn, Wuhan 430072, Peoples R China

[2] Ctr Rech Publ Henri Tudor, L-1855 Luxembourg, Luxembourg

[3] Univ Lorraine, Lab Etud Microstruct & Mecan Mat, CNRS, UMR 7239, F-57045 Metz 01, France

[4] Univ Hassan II Mohammedia Casablanca, Lab Calcul Sci Mecan, Fac Sci Ben MSik, Casablanca, Morocco

关键词: Macroscopical model;    Fourier series;    Sandwich;    Buckling;    Wrinkling;   

DOI  :  10.1016/j.ijsolstr.2012.06.005

来源: Elsevier

【 摘 要 】

In this paper, we present a new Fourier-related double scale analysis to study instability phenomena of sandwich structures. By using the technique of slowly variable Fourier coefficients, a zig-zag theory based microscopical sandwich model is transformed into a macroscopical one that offers three numerical advantages. Firstly, only the envelopes of instability patterns are evaluated and this leads to a significant improvement on computational efficiency, especially when dealing with high wavenumber wrinkling phenomena. Secondly, the proposed macroscopical model allows one to select modal wavelength, which makes easy to control non-linear calculations. Thirdly, in contrast to Landau-Ginzburg envelope equations, it may also remain valid away from the bifurcation point and the coupling between global and local instabilities can be accounted for. The established non-linear system is solved by asymptotic numerical method (ANM), which is more reliable and less time consuming than other iterative classical methods. The proposed double scale analysis yields accurate results with a significant reduced computational cost. (C) 2012 Elsevier Ltd. All rights reserved.

【 授权许可】

Free