This is an overview of theoretical approaches to semiflexible polymers and their networks.
Such semiflexible polymers have large bending rigidities that can compete with the entropic …

When a system jams, it undergoes a transition from a flowing to a rigid state. Despite this
important change in the dynamics, the internal structure of the system remains disordered in …

Frames, or lattices consisting of mass points connected by rigid bonds or central-force
springs, are important model constructs that have applications in such diverse fields as …

Much of our understanding of vibrational excitations and elasticity is based upon analysis of
frames consisting of sites connected by bonds occupied by central-force springs, the stability …

This is a review on the emergent field of topological mechanics, where concepts from
electronic topological states of matter are applied to mechanics. We focus on the …

Disordered fibre networks are the basis of many man-made and natural materials, including
structural components of living cells and tissue. The mechanical stability of such networks …

Mechanical metamaterials are engineered materials whose structures give them novel
mechanical properties, including negative Poisson's ratios, negative compressibilities and …

Connectedness and applied stress strongly affect elasticity in solids. In various amorphous
materials, mechanical stability can be lost either by reducing connectedness or by …

Model lattices consisting of balls connected by central-force springs provide much of our
understanding of mechanical response and phonon structure of real materials. Their stability …

While the rheology of non-Brownian suspensions in the dilute regime is well understood,
their behavior in the dense limit remains mystifying. As the packing fraction of particles …