‘Ruban à godets’: an elastic model for ripples in plant leaves |
| |
| Authors: | Basile Audoly Arezki Boudaoud |
| |
| Institution: | a Laboratoire de modélisation en mécanique, UMR 7607 du CNRS, Université Pierre et Marie Curie, 4, place Jussieu, 75252, Paris cedex 05, France;b Laboratoire de physique statistique, UMR 8550 du CNRS, École normale supérieure, 24, rue Lhomond, 75231, Paris cedex 05, France |
| |
| Abstract: | 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. To cite this article: B. Audoly, A. Boudaoud, C. R. Mecanique 330 (2002) 831–836. |
| |
| Keywords: | solids and structures elastic rods growth in biologyAuthor Keywords: solides et structures tiges é lastiques croissance en biologie |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
