Talk
Twisting a rod around a cylinder: a nonlocal contact problem
- Mark Peletier (Centrum voor Wiskunde en Informatica, Amsterdam)
Abstract
Understanding self-contact in elastic rod theory is difficult in large part due to the potentially complex geometry. We study a simplified problem in which the freedom of movement of the rod is restricted: the centerline of the rod is constrained to lie on a cylindrical surface. Under common loading conditions the rod will try to penetrate itself; with an appropriate non-interpenetration condition this yields a (non-local) contact problem.