Dynamics of Phononic Materials and Structures: Historical Origins, Recent Progress, and Future Outlook

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Edge waves in plates with resonators: an elastic analogue of the quantum valley Hall effect (2016, background): “1 Band inversion and quantum valley Hall effect It is well known that a 1D periodic lattice with distinct stiffness or mass values within a unit cell is characterized by a frequency bandgap [35] and that the bands are characterized by a topological invariant [36].”
Local resonance and Bragg bandgaps in sandwich beams containing periodically inserted resonators (2015, background): “rst demonstrated in the context of acoustic waves by Liu et al. [1]. Various researchers have since studied the attenuation of acoustic and elastic waves by utilizing such locally resonating elements [2]. The localized resonance of the added substructures causes energy sequestering and prohibits the”
Gradient index phononic crystals and metamaterials (2018, background): “Over the past two decades, dramatically increasing efforts have been devoted to the study of acoustic artificial structured materials driven by both fundamental scientific curiosities with properties not found previously and diverse potential applications with novel functionalities[4-16].”