Theoretical and experimental analysis of a thin elastic cylindrical tube acting as a non-Hookean spring
arXiv:1007.4699 · doi:10.1103/PhysRevE.83.067601
Abstract
We analyze the deformation and energetics of a thin elastic cylindrical tube compressed between two plates which are parallel to the tube axis. The deformation is studied theoretically using exact numerical simulations and the variational approach. These results are used to interpret the experimental data obtained by pressing plastic-foil tubes in an apparatus specially designed for this purpose. A simplified variant of the physics that we present was used as a basis for one of the experimental problems posed on the 41st International Physics Olympiad held in Zagreb, Croatia in July 2010.
References in corpus (8)
- Virus shapes and buckling transitions in spherical shells
- Radial elasticity of multi-walled carbon nanotubes
- Soft Spheres Make More Mesophases
- Buckling transition in icosahedral shells subjected to volume conservation constraint and pressure: relations to virus maturation
- Energies of sp2 carbon shapes with pentagonal disclinations and elasticity theory
- Elastic theory of low-dimensional continua and its applications in bio- and nano-structures
- Continuum and all-atom description of the energetics of graphene nanocones
- Exact non-Hookean scaling of cylindrically bent elastic sheets and the large-amplitude pendulum