Topological mechanics of knots and tangles

@article{Patil2020TopologicalMO,
  title={Topological mechanics of knots and tangles},
  author={Vishal P Patil and Joseph D Sandt and Mathias Kolle and J. Dunkel},
  journal={Science},
  year={2020},
  volume={367},
  pages={71 - 75}
}
It's knot what you know Why is it that some knots seem to hold tight while others readily slip apart? Patil et al. develop a theoretical analysis of the stability of knots and find links between topological parameters (twist charge, crossing numbers, handedness) and mechanical stability. The theory is confirmed using simulations and experiments on color-changing fibers that optically show localized stress differences in different parts of the knot as the two strands are pulled apart. The… Expand
Mechanics of two filaments in tight orthogonal contact
Review: Knots and other new topological effects in liquid crystals and colloids.
  • I. Smalyukh
  • Physics, Medicine
  • Reports on progress in physics. Physical Society
  • 2020
Finite Element Modeling of Tight Elastic Knots
Analysing knots and ligatures: Tying principles, knot characteristics and structural changes.
  • R. Chisnall
  • Computer Science, Medicine
  • Forensic science international
  • 2020
Topological Mechanics of Micromorphic Metamaterials
...
1
2
3
...

References

SHOWING 1-10 OF 35 REFERENCES
Statistics of Knots, Geometry of Conformations, and Evolution of Proteins
Motion of Knots in DNA Stretched by Elongational Fields.
Form finding in elastic gridshells
Discrete elastic rods
...
1
2
3
4
...