Mechanical metamaterials are man-made structures with counterintuitive mechanical
properties that originate in the geometry of their unit cell instead of the properties of each …

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 …

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 …

Burgeoning experimental and simulation activity seeks to understand the existence of self-
assembled colloidal structures that are not close-packed,,,,,,,,. Here we describe an …

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 …

Existing mechanical metamaterials are typically designed to either withstand loads as a stiff
structure, shape morph as a floppy mechanism, or trap energy as a multistable matter …

Here we review recent studies of mechanical metamaterials originating from or closely
related to marginally jammed solids. Unlike previous approaches mainly focusing on the …

Topological mechanics has been studied intensively in periodic lattices in the past a few
years, leading to the discovery of topologically protected boundary floppy modes in Maxwell …

Disordered biopolymer gels have striking mechanical properties including strong
nonlinearities. In the case of athermal gels (such as collagen-I) the nonlinearity has long …

We present fracturing analysis of topological Maxwell lattices when they are stretched by
applied stress. Maxwell lattices are mechanical structures containing equal numbers of …