Disclosed herein are engineered composite materials suitable for applications that can benefit from a composite material capable of interacting with or responding to, in a controlled or pre-determined manner, changes in its surrounding environment, such as to attenuate a compression wave. The composite material generally includes a plurality of repeating units, with each repeating unit including a first layer of particles having a first mean diameter, and a second layer of particles having a second mean diameter, and an intermediary material that allows mobility of and contact between the first particles within the first layer and mobility of and contact between the second particles within the second layer; the contact allowing momentum transfer between the particles. The first mean diameter and second mean diameter are different and are less than 500 nm. The first or second particles may be core-shell particles having a core that is partly or completely filled with a liquid, a gas and/or a gel, such as a fire suppressant, a medically active agent or a dye.