Many different physical systems, e.g. super-coiled DNA molecules, have been successfully modelled as elastic curves, ribbons or rods. We will describe all such systems as framed curves, and willâ€¦ (More)

We use variational methods to study problems in nonlinear 3-dimensional elasticity where the deformation of the elastic body is restricted by a rigid obstacle. For an assigned variational problem weâ€¦ (More)

We use variational methods to study obstacle problems for geometrically exact (Cosserat) theories for the planar deformation of nonlinearly elastic rods. These rods can suffer flexure, extension, andâ€¦ (More)

The paper presents necessary conditions for curves in R subjected to the nonholonomic constraint of an upper bound for curvature and suitable boundary conditions. The proof essentially uses aâ€¦ (More)

We consider a number of problems that are associated with the 1-Laplace operator Div (Du/|Du|), the formal limit of the p-Laplace operator for p â†’ 1, by investigating the underlying variationalâ€¦ (More)

The investigation of contact interactions, such as traction and heat flux, that are exerted by contiguous bodies across the common boundary is a fundamental issue in continuum physics. However, theâ€¦ (More)

We derive the Euler-Lagrange equations for nonlinear elastic rods with self-contact. The excluded volume constraint is formulated in terms of an upper bound on the global curvature of the centreline.â€¦ (More)

We present a characterization of ideal knots, i.e., of closed knotted curves of prescribed thickness with minimal length, where we use the notion of global curvature for the definition of thickness.â€¦ (More)

In this paper we are interested in regularity results to obstacle problems for shearable nonlinearly elastic rods. We work with the geometrically exact Cosserat theory for planar deformations whichâ€¦ (More)