Analysis and design of two dimensional lattice materials with band-gap characteristics

Periodic materials or structures own the capability ofattenuating wave propagation over certain frequency bands, which is calledband-gap characteristics, and the materials can be reasonably designed toadjust the location and width of band gaps. With the great potentialapplications such as filters, wave guides and sound or vibration isolation,the effect of the configuration in microstructure on the band-gapcharacteristics is investigated. First,the band-gap behaviors of elastic wave and the attenuationcharacteristics in localization in seven 2D periodiclattice topologies, namely triangular honeycomb, square honeycomb, groundhoneycomb, hexagonal honeycomb, auxetic honeycomb, Kagome honeycomb anddiamond honeycomb, are analyzed and compared. Objective function to measurelow and wide band-gap character is proposed, and the optimal band-gapmaterial is then selected. Furthermore, the laws of geometry configurationparameters affecting on the band-gap characteristics are obtained andnumerically demonstrated. The techniques developed in this work can beapplied in design periodic band-gap materials by adjusting geometryconfigurations in the microstructure.