Review of foundational concepts and emerging directions in metamaterial research: design, phenomena, and applications

Holliman, Jade E.; Schaef, Herbert T.; McGrail, B. Peter; Miller, Quin R. S.

doi:10.1039/d2ma00497f

Cited by 6 publications

(1 citation statement)

References 244 publications

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“…The main characteristic of these artificial structures lies in potentially extending their physical properties with respect to conventional materials existing in nature. For example, the elastic metamaterials can manifest unnatural physical properties such as bandgaps and negative values of mass, modulus of elasticity, Poisson's ratio, refractive index, among other properties (e.g., see [9,10] and references).…”

Section: Introductionmentioning

confidence: 99%

Phononic Band Structure by Calculating Effective Parameters of One-Dimensional Metamaterials

et al. 2023

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Using a theory of homogenization that consists in the discretization of the inclusion of a binary phononic crystal in small volumes, in which the material parameters can be expanded in Fourier series, we have determined the dependence of the effective elastic parameters as a function of the frequency. In particular, the frequency dependence of all the elements that constitute the effective tensors of stiffness (moduli of elasticity) and density was analyzed for a 1D phononic crystal conformed of materials whose main characteristic is the high contrast between their elastic properties. In this dynamic case of homogenization, it was found that the effective parameters can reproduce the exact dispersion relations for the acoustic modes that propagate along the periodicity direction of the crystal. Particularly, in the second pass band (high-frequency branch) corresponding to the transverse vibrational modes, the homogenized elastic phononic crystal exhibits a metamaterial behavior because the effective C44-component (shear modulus) and dynamic mass density were found to be both negative. It is noteworthy that the study derived from this homogenization technique can lead to design of double negative metamaterial systems for potential applications.

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Section: Introductionmentioning

confidence: 99%