On the curving and twining of stems
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Cited by (27)
Morphoelastic rods III: Differential growth and curvature generation in elastic filaments
2020, Journal of the Mechanics and Physics of SolidsCitation Excerpt :For instance, it is well known that inclining a plant will produce a gravitropic response where part of the stem will grow faster as to recover ascension against gravity by locally creating curvature (Bastien et al., 2013; Kutschera, 2001; O’Reilly and Tresierras, 2011). Similarly, for a twining vine to grow helically around a pole, different points in the section normal to the axis must grow at different rates (Silk, 1989a; 1989b) in order to generate both torsion and curvature. Another interesting case of differential growth is found in the main trunk of some trees that grow straight but twisted (Schulgasser and Witztum, 2006).
Attachment and interfacial strength between twining plants and the support
2017, Extreme Mechanics LettersCitation Excerpt :They will get a larger steady wavelength concomitant with smaller deformation when replacing the support for a thicker one, but further loss the ability to ascend a support when the radius of the support exceeds a critical value [7,8,10]. The existing analytical theories proposed by most authors are based on helical rope or spring model [11–13], where, by simplifying the Euler relation developed mostly in belt conveyor, the core notion concentrates on the friction provided by the tension conducting squeezing force between the plants and support to avoid the slippage, which also indicates a surprisingly exponential increasing of tension force along the twining stem. However, such strong contraction is not observed when we cut off the twining stem from its straight shoot.
Morphoelastic rods. Part I: A single growing elastic rod
2013, Journal of the Mechanics and Physics of SolidsCitation Excerpt :Understanding the growth, formation and dynamics of these fundamental structures is not only of intrinsic theoretical interest, but it also lies at the heart of a host of important processes in biology, physics, and engineering (Zajac, 1962; Barkley and Zimm, 1979; Spruit, 1981; Benham, 1979, 1983; Keener, 1990; DaSilva and Chouduri, 1993; Manning et al., 1996; Thompson et al., 2002). The main motivation for the research presented here is the fascinating growth of various biofilaments as observed in bacterial fibres (Mendelson, 1978; Klapper and Tabor, 1996; Goriely and Tabor, 2000; Goriely et al., 2008), bacterial filaments (Gray et al., 1990; Shapiro and Dworkin, 1997; Goriely and Tabor, 2003a,b), fungi (Robertson, 1968; Bergman et al., 1969; Koch, 1994; Goriely and Tabor, 2011), root hairs (Dumais et al., 2004; Roelofsen and Houwink, 1953; Shaw et al., 2000), stems (Silk and Haidar, 1986; Silk, 1989; Steele, 2000; Goriely and Neukirch, 2006; Moulia et al., 2006; Speck and Burgert, 2011), roots (Chavarrıa-Krauser et al., 2005; Erickson and Sax, 1956; Mullen et al., 1998; Okada and Shimura, 1990; Buschmann et al., 2009), tendrils (Keller, 1980; Goriely and Tabor, 1998; McMillen and Goriely, 2002; Goldstein and Goriely, 2006), neurons (Barlow et al., 1989; Dennerll et al., 1989; Lamoureux et al., 1989, 1992, 2002; Chada et al., 1997), umbilical cords (Goriely, 2004; Miller et al., 1982), tendons (Rao et al., 2003), arteries (Alford et al., 2007; Taber and Humphrey, 2001; Goriely and Vandiver, 2010), and the spine (Entov, 1983), to name but a few. On the mechanical side, there is a considerable body of work and current interest in volumetric three-dimensional growth theories, dating back to Skalak and Hoger's seminal work (Skalak, 1981; Skalak et al., 1982; Rodriguez et al., 1994) as well as Stein (1995) and Rachev (1997).
Modelling of root growth and bending in two dimensions
1997, Journal of Theoretical BiologyDesign and Grasping Force Modeling for a Soft Robotic Gripper with Multi-stem Twining
2023, Journal of Bionic Engineering