[Ruban à godets : un modèle élastique pour les fronces des feuillages]
On étudie la formation des fronces au bord des feuillages grâce à un modèle de bande élastique à courbure spontanée. Les équations d'équilibre de la bande sont établies explicitement. Une méthode numérique de résolution est présentée puis mise en œuvre. À cause des non-linéarités géométriques, on trouve plusieurs configurations d'équilibre ; une seule peut prétendre décrire les feuillages. Ceci constitue la premiére étude des fronces de feuillages s'appuyant sur les équations de l'élasticité.
The formation of ripples along the edge of plant leaves is studied using a model of an elastic strip with spontaneous curvature. The equations of equilibrium of the strip are established in an explicit form. A numerical method of solution is presented and carried out. Owing to the presence of geometric nonlinearities, several equilibrium configurations are found but we show that only one of them is physical. To our knowledge, this is the first investigation of ripples in plant leaves that is based on the equations of elasticity.
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Publié le :
Mots-clés : solides et structures, tiges élastiques, croissance en biologie
Basile Audoly 1 ; Arezki Boudaoud 2
@article{CRMECA_2002__330_12_831_0,
author = {Basile Audoly and Arezki Boudaoud},
title = {{\textquoteleft}Ruban \`a godets{\textquoteright}: an elastic model for ripples in plant leaves},
journal = {Comptes Rendus. M\'ecanique},
pages = {831--836},
publisher = {Elsevier},
volume = {330},
number = {12},
year = {2002},
doi = {10.1016/S1631-0721(02)01545-0},
language = {en},
}
Basile Audoly; Arezki Boudaoud. ‘Ruban à godets’: an elastic model for ripples in plant leaves. Comptes Rendus. Mécanique, Volume 330 (2002) no. 12, pp. 831-836. doi : 10.1016/S1631-0721(02)01545-0. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01545-0/
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