Summary
The determination of all the statically controllable deformations for the classical Kirchhoff-Clebsch theory for three-dimensional deformations of elastic inextensible rods is considered. The analysis shows that the most general deformation is the case in which a rod initially in the shape of a helix is deformed into another helix. The case of planar bending with no twist is also shown to give results that can be obtained from the theory of the planar elastica.
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Faulkner, M.G., Steigmann, D.J. Controllable deformations of elastic spatial rods. Acta Mechanica 101, 31–43 (1993). https://doi.org/10.1007/BF01175595
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DOI: https://doi.org/10.1007/BF01175595