Comptes Rendus
‘Ruban à godets’: an elastic model for ripples in plant leaves
Comptes Rendus. Mécanique, Volume 330 (2002) no. 12, pp. 831-836.

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.

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.

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Accepted:
Published online:
DOI: 10.1016/S1631-0721(02)01545-0
Keywords: solids and structures, elastic rods, growth in biology
Mot clés : solides et structures, tiges élastiques, croissance en biologie

Basile Audoly 1; Arezki Boudaoud 2

1 Laboratoire de modélisation en mécanique, UMR 7607 du CNRS, Université Pierre et Marie Curie, 4, place Jussieu, 75252 Paris cedex 05, France
2 Laboratoire de physique statistique, UMR 8550 du CNRS, École normale supérieure, 24, rue Lhomond, 75231 Paris cedex 05, France
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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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