Hexagonal ring origami is a type of foldable structure that has impressive packing abilities
and can be tessellated into two-dimensional or three-dimensional surfaces without any gap …

We use the Cosserat rod theory to present a unified picture of jump phenomena, associated
with looping, snap-through, pop-out, etc., in twisted clamped rods undergoing large …

Motivated by observations of snap-through phenomena in buckled elastic strips subject to
clamping and lateral end translations, we experimentally explore the multi-stability and …

As a typical mechanical structure, ribbons are characterized with three distinctly different
dimensions, ie, length≫ width≫ thickness, which leads to their exclusive behaviors different …

In this paper we address the mechanics of ply formation in DNA supercoils. We extend the
variable ply formulation of Coleman & Swigon to include end loads, and the derived …

Aiming at simulating elastic rods, we discretize a rod model based on a general theory of
hyperelasticity for inextensible and unshearable rods. After reviewing this model and …

We study self-contact configurations of elastic rods by adding a repulsive energy to the
bend, twist, shear, and stretch energies of a classical elastic rod. We use a discretized …

We consider the problem of an impenetrable Kirchhoff rod in self-contact. The contact is
assumed to be frictionless and of point-contact type. The self-contacted rod is modeled as a …

Within the context of DNA rings, we analyze the relationship between intrinsic shape and the
existence of multiple stable equilibria, either nicked or cyclized with the same link. A simple …

In this chapter, a brief introduction to the formulation of variational methods for finite-
dimensional Lagrangian systems is presented. To this end, the first two sections focus on …