Institut Jean le Rond d'Alembert
Centre National de la Recherche Scientifique
Université Pierre et Marie Curie
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The mechanics of climbing and attachment in twining plants
Alain Goriely and Sébastien Neukirch
Physical Review Letters, 97 (2006) 184302
Abstract : Twining plants achieve vertical growth by revolving around supports of different sizes on which they exert a pressure. These well-known observations raise many intriguing questions that can be addressed within the framework of elastic filamentary structures. Here, mechanical aspects of this problem are investigated by modeling the stem close to the apex as a growing elastic rod with intrinsic curvature and twist. The analysis reveals that vertical growth is achieved by the presence of discrete contact points as well as regions with continuous contact. Further, the experimentally observed fact that the plant stem is under tension is shown to be directly related to the positive contact pressure. Finally, the maximal radius of the pole around which a twiner can climb is identified.
Key words : growth, elastic stability, contact, numerical continuation.
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