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Twisting a rod around a cylinder: a nonlocal contact problem

  • Mark Peletier (Centrum voor Wiskunde en Informatica, Amsterdam)
A3 01 (Sophus-Lie room)

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.

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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