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The Mechanics of Twisted RodsI study the deformations of elastic filaments when subjected to torsion and tension forces. The equilibrium configuration of such filament obeys to the Kirchhoff equations. These equations are equivalent to the dynamical equations of a spinning top.
Applications : kinking of submarine cables, carbone nanotubes and nanowires, etc.
- Surface piercing beams: buckling by surface tension.
- Dynamics and fragmentation of bent rods: the spaghetti enigma.
- Post-Buckling paths of the clamped planar elastica (with no twist)
- Post-Buckling path of the clamped infinite spatial elastica (with twist)
- Detailed study of the clamped finite spatial elastica (with twist)
- An example of a clamped helix