@book{471844268b924eda80fdf3faf02a608b,
title = "Self-contact for rods on cylinders",
abstract = "We study self-contact phenomena in elastic rods that are constrained to lie on a cylinder. By choosing a particular set of variables to describe the rod centerline the variational setting is made particularly simple: the strain energy is a second-order functional of a single scalar variable, and the self-contact constraint is written as an integral inequality. Using techniques from ode theory (comparison principles) and variational calculus (cut-and-paste arguments) we fully characterize the structure of constrained minimizers. An important auxiliary result states that the set of self-contact points is continuous, a result that contrasts with known examples from contact problems in free rods",
author = "{Heijden, van der}, G.H.M. and M.A. Peletier and R. Planqu{\'e}",
year = "2004",
language = "English",
series = "CWI report. MAS-E",
publisher = "Centrum voor Wiskunde en Informatica",
}