Some contact problems in elastic rods


Séminaire Modèles et Algorithmes Déterministes: CASYS

18/10/2012 - 14:30 Mr Sébastien Neukirch (Pierre et Marie Curie) Salle F107 de l'INRIA Rhône-Alpes, Montbonnot

Elastic rods equations are used to model a wide range of natural phenomena and engineering problems, from DNA supercoiling to vibrations of steel structures.

I will present different examples where the self-contact in the rod is central in the resolution of the equations, and will focus on the contact topology: does the rod touch itself at isolated contact point, or along continuous intervals ? Examples of supercoiled DNA, trefoil knots, and close packing of arches will be presented.