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Types of thin sheet buckling during rolling process

FROM:
Noureddine Damil (1) and Michel Potier-Ferry (2)
(1) Laboratoire de Calcul Scientifique en Mécanique, Faculté des Sciences Ben M’Sik, Université Hassan II Mohammedia - Casablanca, Sidi Othman, Casablanca, Morocco
(2) Laboratoire de Physique et Mécanique des Matériaux, FRE CNRS 3236, Université Paul Verlaine de Metz, Ile du Saulcy, 57045 Metz, France

“Influence of local wrinkling on membrane behaviour: A new approach by the technique of slowly variable Fourier coefficients”, Journal of the Mechanics and Physics of Solids, Vol. 58, No. 8, August 2010, pp. 1139-1153, doi:10.1016/j.jmps.2010.04.002

ABSTRACT: In this paper, a new technique using slowly variable Fourier coefficients and the asymptotic Landau–Ginzburg approach are re-discussed and compared. The aim is to define simple macroscopic models describing the influence of local wrinkling on membrane behaviour. This question is analyzed by considering the simple example of a beam resting on a non-linear Winkler foundation.

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