Comptes Rendus
no. 10
ANM analysis of a wrinkled elastic thin membrane
Siham Khalil1 ; Youssef Belaasilia1 ; Abdellah Hamdaoui1 ; Bouazza Braikat1  ; Mohammad Jamal1 ; Noureddine Damil1 ; Zitouni Azari2
1 Laboratoire d'Ingénierie et Matériaux (LIMAT), Faculté des Sciences Ben M'Sik, Hassan II University of Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco
2 Laboratoire d'Étude des Microstructures et de Mécanique des Matériaux, LEM3, CNRS, UMR 7239, École Nationale d'Ingénieurs de Metz (ENIM), Université de Lorraine, 1, route d'Ars-Laquenexy, 57078 Metz, France
Comptes Rendus. Mécanique, Volume 347 (2019) no. 10, pp. 701-709.

In this work, we have investigated numerically the disappearance of wrinkles from a tended membrane by the Asymptotic Numerical Method (ANM) using the finite-element DKT18. The ANM is a path-following technique that has been used to solve bifurcation problems. We show numerically the influence of the terms corresponding to the membrane displacement gradient in the Föppl–von Kármán (FvK) theory on the bifurcation curves in the case of a stretched elastic membrane. We will also study numerically, by using the ANM algorithm, the influence of the thickness and of the aspect ratio on the re-stabilization of a rectangular elastic membrane during stretching. The results obtained by our model are compared with those obtained using the industrial code ABAQUS.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2019.10.001
Mots clés : Wrinkles disappearance, Asymptotic Numerical Method, Membrane effect, Föppl–von Kármán model
Siham Khalil 1 ; Youssef Belaasilia 1 ; Abdellah Hamdaoui 1 ; Bouazza Braikat 1 ; Mohammad Jamal 1 ; Noureddine Damil 1 ; Zitouni Azari 2

1 Laboratoire d'Ingénierie et Matériaux (LIMAT), Faculté des Sciences Ben M'Sik, Hassan II University of Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco
2 Laboratoire d'Étude des Microstructures et de Mécanique des Matériaux, LEM3, CNRS, UMR 7239, École Nationale d'Ingénieurs de Metz (ENIM), Université de Lorraine, 1, route d'Ars-Laquenexy, 57078 Metz, France 
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     title = {ANM analysis of a wrinkled elastic thin membrane},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {701--709},
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     volume = {347},
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Siham Khalil; Youssef Belaasilia; Abdellah Hamdaoui; Bouazza Braikat; Mohammad Jamal; Noureddine Damil; Zitouni Azari. ANM analysis of a wrinkled elastic thin membrane. Comptes Rendus. Mécanique, Volume 347 (2019) no. 10, pp. 701-709. doi : 10.1016/j.crme.2019.10.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2019.10.001/

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