Elastic metamaterials and dynamic homogenization: a review
By Ankit Srivastava. 2014
139 citations recorded by the source corpus.
In this paper, we review the recent advances which have taken place in the understanding and applications of acoustic/elastic metamaterials. Metamaterials are artificially created composite materials which exhibit unusual properties that are not found in nature. We begin with presenting arguments from discrete systems which support the case for the existence of unusual material properties such as tensorial and/or negative density. The arguments are then extended to elastic continuums through coherent averaging principles. The resulting coupled and nonlocal homogenized relations, called the Willis relations, are presented as the natural description of inhomogeneous elastodynamics. They are specialized to Bloch waves propagating in periodic composites and we show that the Willis properties display the unusual behavior which is often required in metamaterial applications such as the Veselago lens. We finally present the recent advances in the area of transformation elastodynamics, charting its inspirations from transformation optics, clarifying its particular challenges, and identifying its connection with the constitutive relations of the Willis and the Cosserat types.
Subfields: Biomedical Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/234e877dc59d5f360805a1a7bffd9357db70389b
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In Biomedical Engineering
Citations in the corpus
- A review on application of mechanical metamaterials for vibration control (2021, background): “materials but also give different functionalities and unusual properties [10] like negative refractive index, negative mass density, negative Poisson’s ratio, negative permittivity, negative permeability, negative bulk modulus, sign reversal of thermal expansion coefficient, etc.”