ANM analysis of a wrinkled elastic thin membrane

Siham Khalil; Youssef Belaasilia; Abdellah Hamdaoui; Bouazza Braikat; Mohammad Jamal; Noureddine Damil; Zitouni Azari

doi:10.1016/j.crme.2019.10.001

ANM analysis of a wrinkled elastic thin membrane

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

Comptes Rendus. Mécanique, Volume 347 (2019) no. 10, pp. 701-709.

Abstract

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.

Received: 2019-08-05
Accepted: 2019-10-03
Published online: 2019-10-01

DOI: 10.1016/j.crme.2019.10.001

Keywords: Wrinkles disappearance, Asymptotic Numerical Method, Membrane effect, Föppl–von Kármán model

Author's affiliations:

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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     author = {Siham Khalil and Youssef Belaasilia and Abdellah Hamdaoui and Bouazza Braikat and Mohammad Jamal and Noureddine Damil and Zitouni Azari},
     title = {ANM analysis of a wrinkled elastic thin membrane},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {701--709},
     publisher = {Elsevier},
     volume = {347},
     number = {10},
     year = {2019},
     doi = {10.1016/j.crme.2019.10.001},
     language = {en},
}

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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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