We amalgamate two fundamental designs from distinct areas of wave control in physics, and
place them in the setting of elasticity. Graded elastic metasurfaces, so-called metawedges …

The recent emergence of topological insulators in condensed matter physics has inspired
analogous wave phenomena in mechanical systems. However, to date, the design of these …

Higher-order topological insulators (HOTIs), capable of hosting topological states over
multiple dimensionalities, have received considerable attention recently, providing …

Recently, there have been significant efforts to guide mechanical energy in structures by
relying on a novel topological framework popularized by the discovery of topological …

In elastic wave systems, combining the powerful concepts of resonance and spatial grading
within structured surface arrays enable resonant metasurfaces to exhibit broadband wave …

Acoustic resonances in open systems, which are usually associated with resonant modes
characterized by complex eigenfrequencies, play a fundamental role in manipulating …

We study identical coupled mechanical resonators whose collective dynamics are fully
determined by the patterns in which they are arranged. In this work, we call a system …

Topological protection offers unprecedented opportunities for wave manipulation and
energy transport in various fields of physics, including elasticity, acoustics, quantum …

The elastic analogs of topological insulators (TIs) have attracted substantial research
interest owing to their potential prospects in wave manipulation and low-loss transmission …

Phononic crystals and metamaterials can sculpt elastic waves, controlling their dispersion
using different mechanisms. These mechanisms are mostly Bragg scattering, local …