Metadamping: An emergent phenomenon in dissipative metamaterials

By Mahmoud I. Hussein, Michael J. Frazier. 2012

245 citations recorded by the source corpus.

Abstract Using a generalized form of Bloch's theorem, we derive the dispersion relation of a viscously damped locally resonant metamaterial modeled as an infinite mass-in-mass lumped parameter chain. For comparison, we obtain the dispersion relation for a statically equivalent Bragg-scattering mass-spring chain that is also viscously damped. For the two chains, we prescribe identical damping levels in the dashpots and compare the damping ratio associated with all propagating Bloch modes. We find that the locally resonant metamaterial exhibits higher dissipation throughout the spectrum which indicates a damping emergence phenomena due to the presence of local resonance. This phenomenon, which we define as “metadamping”, provides a new paradigm for the design of material systems that display both high damping and high stiffness. We conclude our investigation by quantifying the degree of metadamping as a function of the long-wave speed of sound in the medium or the static stiffness.

Subfields: Biomedical Engineering, Computer Vision and Pattern Recognition, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/8a4f857e8a874ecb0d576af73d6ba3d995ef70d7

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In Biomedical Engineering

In Computer Vision and Pattern Recognition

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Citations in the corpus

Dissipative elastic metamaterials for broadband wave mitigation at subwavelength scale (2016, methodology): “Inspired by the concept, Hussein and Frazier [19] and Manimala and Sun [20] studied wave propagation in the mass-in-mass lattice model by introducing damping coefficient into the single resonator.”
Visco-elastic effects on wave dispersion in three-phase acoustic metamaterials (2016, background): “…mass-spring models representing the dynamics of 1D metamaterials, the so-called ‘metadamping’ phenomenon is discovered, when an AMM exhibits higher levels of dissipation within the propagating modes compared to those for a statically equivalent PnC with identical material damping properties [22].”