We present a theoretical and numerical framework to compute bifurcations of equilibria and
stability of slender elastic rods. The 3D kinematics of the rod is treated in a geometrically …

We use three different approaches to describe the static spatial configurations of a twisted
rod as well as its stability during rigid loading experiments. The first approach considers the …

We present results from an experimental and numerical investigation on the compression,
and consequent buckling, of a slender rod constrained inside a horizontal cylinder. An …

Discrete elastic rods (DER) method provides a computationally efficient means of simulating
the nonlinear dynamics of one-dimensional slender structures. However, this dynamic …

We study the integration of problems of evolution in the rotation group. Instead of attacking
the problem in the nonlinear differential manifold SO (3)(pure rotational dynamics), as is …

We present a generalized approach to stability of static equilibria of nonlinearly elastic rods,
subjected to general loading, boundary conditions and constraints (of both point-wise and …

This paper describes previously unknown stabilities and instabilities of planar equilibrium
configurations of a nonlinearly elastic rod that is buckled under the action of a dead-load …

Starting from the theory of elastic plates, we derive a non-linear one-dimensional model for
elastic ribbons with thickness t, width a and length ℓ, assuming t≪ a≪ ℓ. It takes the form of …

We propose a robust and efficient numerical model to compute stable equilibrium
configurations of clamped elastic ribbons featuring arbitrarily curved natural shapes. Our …

The paper addresses the stability problem of curvilinear configurations of a perfectly flexible
rod known as elasticas. The question of stability of equilibrium configurations is reduced to …