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We derive the Euler-Lagrange equations for nonlinearly elastic rods with self-contact. The excluded-volume constraint is formulated in terms of an upper bound on the global curvature of the centre line. This condition is shown to guarantee the global injectivity of the deformation of the elastic rod. Topological constraints such as a prescribed knot and(More)
We consider the problem of minimizing the bending energy Eb = R 2 ds on isotopy classes of closed curves in IR 3 to model the elastic behaviour of knotted loops of springy wire. A potential of Coulomb t ype with a small factor as a measure for the thickness of the wire is added to the elastic energy in order to preserve the isotopy class. With a direct(More)
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