Architected materials are preconized to yield extreme mechanical properties such as foldability, channeled response, and surface effects. These features are expected to lead to the production of artificial materials of unchallenged mechanical properties, in other words, metamaterials.
Homogenization theory and Floquet-Bloch techniques will be applied to grids of elastic rods, subject to various conditions, including axial pre-stress, to demonstrate strain localization, wave channeling, total reflection, and negative refraction.
A particular dynamic problem, flutter instability, will be presented, with a special emphasis on the way to produce a Hopf bifurcation in an elastic structure, a feature which may lead to the realization of new metamaterials. Finally, invisibility through cloaking of voids in a flexurally vibrating plate will be presented.