The aim of this graduate-level textbook is to show how the balance laws for theories of rods
and strings can be applied in a systematic manner to develop models for a wide range of …

Curved-sided hexagrams with multiple equilibrium states have great potential in
engineering applications such as foldable architectures, deployable aerospace structures …

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 …

Classic theories in nonlinear elasticity have increasingly been used to obtain accurate and
efficient models for continuum robots and other elastic structures. Numerically computed …

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 …

Ring origami is a new strategy to design bistable foldable/deployable structures by
assembling multiple rings with the same geometry. The successful folding of ring origami …

Quaternions without unity constraint are used as configuration variables for rotational
degrees of freedom of Cosserat rod models, thereby naturally incorporating inflation as well …

This paper entails the application of the energy shaping methodology to control a flexible,
elastic Cosserat rod model. Recent interest in such continuum models stems from …

In this study, we explore the mechanics of a bigon and a bigon ring from a combination of
experiments and numerical simulations. A bigon is a simple elastic network consisting of two …

Ring origami has emerged as a robust strategy for designing foldable and deployable
structures due to its impressive packing abilities achieved from snap-folding. In general …