Cosserat Theory

Deformation of an elastic rod in a magnetic field

This was my PhD which was undertaken at UCL with Prof. Gert van der Heijden. It was funded the EPSRC.

• Thesis can be found online here (offical) or here.
• The github repository which generates a copy of the thesis can be found here.
• Code which generates the homoclinic orbits and bifurcation diagrams can be found here

Journal publications can be found here:

• Integrability of a conducting elastic rod in a magnetic field
• Spatial chaos of an extensible conducting rod in a uniform magnetic field

Conference proceeding can be found here:

• The buckling of magneto-strictive Ccsserat rods
• Localisation of a twisted conducting rod in a uniform magnetic field: the Hamiltonian-Hopf-Hopf bifurcation

A presentation can be found here:

• Integrability, localisation and bifurcation of an elastic conducting rod in a magnetic field