Locally resonant sonic materials

By Zhengyou Liu, Xixiang Zhang, Y. Mao, Yong‐yuan Zhu, Zhiyu Yang, C. T. Chan, Ping Sheng. Science, 2000

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Wave attenuation mechanism in an acoustic metamaterial with negative effective mass density (2009, background): “One possible solution was first provided by Liu et al [8], who fabricated sonic crystals displaying microstructures with local resonances based on the idea from electromagnetic materials with an optical resonance that makes the wave attenuate exponentially.”
Superlenses to overcome the diffraction limit. (2008, background): “Acoustic metamaterials are another emerging topic: negative densit”
A general theory for bandgap estimation in locally resonant metastructures (2016, methodology): “[7] showed the potential for locally resonant metamaterials to create bandgaps at wavelengths much larger than the lattice size, enabling the creation of low-frequency bandgaps in relatively small structures.”
Design of phononic materials/structures for surface wave devices using topology optimization (2007, background): “Elastic wave propagation in periodic media is hardly a new topic; Brillouin (1953) and Elachi (1976 )g ive classical treatments, and more recent work including reviews citing extensive references are given by Sigalas and Economou (1992), Kushwaha (1996), Vasseur et al. (1998), Liu et al. (2000) , S”
Elastic metamaterials and dynamic homogenization: a review (2014, background): “suggesting a design based on silicone-coated lead spheres embedded in epoxy matrix [28,29].”