This broad review summarizes recent advances and “hot” research topics in nanophononics
and elastic, acoustic, and mechanical metamaterials based on results presented by the …

Mechanical metamaterials, also known as architected materials, are rationally designed
composites, aiming at elastic behaviors and effective mechanical properties beyond ('meta') …

Mechanical metamaterials at the microscale exhibit exotic static properties owing to their
engineered building blocks,,–, but their dynamic properties have remained substantially less …

Energy‐absorbing materials are widely used under certain high‐frequency scenarios, such
as cargo packaging or sport protection. Though negative stiffness mechanical metamaterials …

In solid state physics, phase transitions can influence material functionality and alter their
properties. In mechanical metamaterials, structural‐phase transitions can be achieved …

In classical Cauchy elasticity, 3D materials exhibit six eigenmodes of deformation. Following
the 1995 work of Milton and Cherkaev, extremal elastic materials can be classified by the …

Longer-range interactions, or couplings beyond the second nearest neighbors, have long
been overlooked in topological models for either topological insulators or semimetals. For …

The interior of the synthetic unit cells and their interactions determine the wave properties of
metamaterials composed of periodic lattices of these cells. While local interactions with the …

Previous theory and experiment has shown that introducing strong (nonlocal) beyond-
nearest-neighbor interactions in addition to (local) nearest-neighbor interactions into …

To date, the vast majority of architected materials have leveraged two physical principles to
control wave behavior, namely, Bragg interference and local resonances. Here, we describe …