The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

The peridynamic theory of continuum mechanics allows damage, fracture, and long-range
forces to be treated as natural components of the deformation of a material. In this paper, the …

The ability to pattern material response, voxel by voxel, to direct actuation and manipulation
in macroscopic structures can enable devices that utilize ambient stimuli to produce …

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 …

The formation of collagen fibrils from staggered repeats of individual molecules has
become" accepted" wisdom. However, for over thirty years now, such a model has failed to …

In this paper we propose a finite element approach which simulates the mechanical
behaviour of beam assemblies that are subject to large deformations and that develop …

The digital linear coding carried by the base pairs in the DNA double helix is now known to
have an important component that acts by altering, along its length, the natural shape and …

Helices are among the simplest shapes that are observed in the filamentary and molecular
structures of nature. The local mechanical properties of such structures are often modeled by …

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 …

We develop a Lagrangian numerical algorithm for an elastic rod immersed in a viscous,
incompressible fluid at zero Reynolds number. The elasticity of the rod is described by a …