We propose a general approach to the higher-order homogenization of discrete elastic
networks made up of linear elastic beams or springs in dimension 2 or 3. The network may …

Evanescent Bloch waves are eigensolutions of spatially periodic problems for complex-
valued wavenumbers at finite frequencies, corresponding to solutions that oscillate in time …

Periodic origami patterns made with repeating unit cells of creases and panels bend and
twist in complex ways. In principle, such soft modes of deformation admit a simplified …

So-called fragile topological states of matter challenge our conventional notion of topology
by lacking the robustness typically associated with topological protection, thereby displaying …

Boundary modes localized at the edge or on the interface of topological mechanical lattices
are analogous to their electronic counterparts in topological insulators and are robust and …

Lattice materials are interesting mechanical metamaterials, and their mechanical properties
are often related to the presence of mechanisms. The existence of periodic mechanisms can …

Metamaterials are artificial structures that can manipulate and control sound waves in ways
not possible with conventional materials. While much effort has been undertaken to widen …

Kirigami metamaterials dramatically change their shape through a coordinated motion of
nearly rigid panels and flexible slits. Here, we study a model system for mechanism-based …

This Letter investigates the emergence of corner modes in elastic twisted kagome lattices at
a critical twist angle, known as the self-dual point. We show that special types of corner …

Kagome lattices have recently attracted a great attention because of the unique mechanical
properties including their topological polarization and localized zero modes at certain …