One-dimensional structured ultrasonic metamaterials with simultaneously negative dynamic density and modulus

By Ying Cheng, J. Y. Xu, Xianjie Liu. 2008

238 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Biomedical Engineering, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/e770dde7fc16ca86bd680b7583b2cc22c6ab6f4f

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Citations in the corpus

Dynamic Mass Density and Acoustic Metamaterials (2007, background): “Recipes were conceived for their simultaneous realization [25, 26, 33, 34].”
Acoustic metamaterial plates for elastic wave absorption and structural vibration suppression (2014, methodology): “In 2008 a 1-D ultrasonic metamaterial beam showing simultaneously negative dynamic mass density and Young's modulus was reported [19].”
Theory of Metamaterial Beams for Broadband Vibration Absorption (2010, background): “…and they are all based on spatial averaging of heterogeneous material properties and hence are valid only for waves of wavelengths much longer than the sizes of subunits (Li and Chan, 2004; Milton and Willis, 2007; Wu et al., 2007; Cheng et al., 2008; Yao et al., 2008; Huang et al., 2009).”
Metamaterial-based Broadband Elastic Wave Absorber (2010, background): “…to deal with electromagnetic waves (Pendry, 2000; Sachan and Majetich, 2005), and researchers have begun to look into the analogy of electromagnetic metamaterials for dealing with acoustic waves (Li and Chan, 2004; Milton and Willis, 2007; Wu et al., 2007; Cheng et al., 2008; Huang et al., 2009).”
Anisotropic Complementary Acoustic Metamaterial for Canceling out Aberrating Layers (2014, methodology): “The effective density and compressibility of the proposed CMM can be extracted from numerical-simulation results by a finitedifference approximation method [24].”
Acoustic multi-stopband metamaterial plates design for broadband elastic wave absorption and vibration suppression (2015, background): “No matter the metamaterials are constructed by rubber-coated lead balls [27], Helmholtz resonators [35,36], or plates with stubbed surface [37,38], all the local resonators can be modeled by simple mass–spring subsystems.”
Design of tunable acoustic metamaterials through periodic arrays of resonant shunted piezos (2011, methodology): “…multi-degrees of freedom resonators systems (presented in Huang and Sun 2010, Pai 2010, Sun et al 2010), coated cylinders/spheres oscillating in an epoxy matrix (Sheng et al 2007, Gao et al 2008) and Helmholtz resonators in parallel with an acoustic waveguide (Fang et al 2006, Cheng et al 2008).”
On the negative effective mass density in acoustic metamaterials (2009, methodology): “In this paper, we demonstrate the consequence of using different equivalent models to represent a lattice system consisting of mass-in-mass units and why negative mass is needed in the equivalent model.”
Elastic metamaterials and dynamic homogenization: a review (2014, background): “Negative modulus could be achieved through a periodic array of Helmholtz resonators [31,32], and the negative density could be achieved through an array of thin membranes [33].”