A generalized continuum approach to predict local buckling patterns of thin structures

European Journal of Computational Mechanics

Volumn 17, Issue 5-7, 2008, Pages 945-956

  Damil, Noureddine ^a   Potier Ferry, Michel ^b  

^a FACULTÉ DES SCIENCES BEN M SIK   (Morocco)

^b UNIVERSITÉ DE LORRAINE   (France)

Author keywords

Buckling; Ginzburg Landau equation; Local instability; Local global coupling; Multi scale analysis; Wrinkling

Indexed keywords

FINITE ELEMENT METHOD; FOURIER ANALYSIS;

BUCKLING PATTERNS; GENERALIZED CONTINUA; GINZBURG-LANDAU EQUATIONS; GLOBAL COUPLING; LOCAL BUCKLING; LOCAL INSTABILITY; LOCAL-GLOBAL COUPLING; MULTI SCALE ANALYSIS; THIN STRUCTURE; WRINKLING;

CONTINUUM MECHANICS;

EID: 79952897985     PISSN: 26422085     EISSN: 26422050     Source Type: Journal    
DOI: 10.3166/REMN.17.945-956     Document Type: Article

References (12)

1. Cochelin B., Damil N., Potier-Ferry M., Méthode Asymptotique Numérique, Hermès Science Publishing, Paris, Londres, 2007.
2. Damil N., Potier-Ferry M., "Wavelength selection in the postbuckling of a long rectangular plate", International Journal of Solids and Structures, vol. 22, 1986, p. 511-526.
3. Damil N., Potier-Ferry M. "Amplitude equations for cellular instabilities", Dynamics and Stability of Systems, vol. 7, 1992, p. 1-34.
4. Damil N., Potier-Ferry M., "A generalized continuum approach to describe instability pattern formation by a multiple scale analysis", Comptes Rendus Mécanique, vol. 334, 2006, p. 674-678.
5. Diaby A., Le Van A., Wielgosz C., « Modélisation du plissage dans les structures membranaires », Revue Européenne de Mécanique Numérique, vol. 13, no 1-2-3 (Giens 2005), 2006, p. 143-154.
6. Iooss G., Mielke A., Demay Y. "Theory of steady Ginzburg-Landau equation in hydrodynamic stability problems", European Journal of Mechanics B/Fluids, vol. 8, 1989, p. 229-268.
7. Léotoing L., Drapier S., Vautrin A., "Nonlinear interaction of geometrical and material properties in sandwich beam instabilities", International Journal of Solids and Structures, vol. 39, 2002, p. 3717-3739.
8. Newell, A., Whitehead J., "Finite band width, finite amplitude convection", Journal of Fluid Mechanics, vol. 38, 1969, p. 279-303.
9. Segel L., "Distant side walls cause slow amplitude modulation of cellular convection", Journal of Fluid Mechanics, vol. 38, 1969, p. 203-224.
10. Sridharan S., Zeggane M., "Stiffened plates and cylindrical shells under interactive buckling", Finite Elements in Analysis and Design, vol. 38, 2001, p. 155-178.
11. Wesfreid J.E., Zaleski S. (Ed.), Cellular Structures in instabilities, Lecture Notes in Physics 210, Springer-Verlag, Heidelberg, 1984.
12. Wong Y.W., Pellegrino S., "Wrinkled membranes-Part1: experiments", Journal of Mechanics of Materials and Structures, vol. 1, 2006, p. 3-25.