Abstract
Recent work (Green IV.5 this Chapter) has investigated the link between patterns seen in plant structures and the physics of solid materials. In this work the plant is modeled as an elastic solid subjected to specific boundary conditions and forces. When stressed, this elastic solid deforms to maintain a state of minimal energy. The equations governing the deflection of such a structure are well defined and can be solved numerically. This work attempts to offer a simple explanation of the plant model, the governing equations and the solution methods. See Green et al. (1996) for further discussion.
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© 1997 Springer Basel AG
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Rennich, S.C., Green, P.B. (1997). The Mathematics of Plate Bending. In: Alt, W., Deutsch, A., Dunn, G.A. (eds) Dynamics of Cell and Tissue Motion. Mathematics and Biosciences in Interaction. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8916-2_30
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DOI: https://doi.org/10.1007/978-3-0348-8916-2_30
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9826-3
Online ISBN: 978-3-0348-8916-2
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