Theoretical investigation of the behavior of an acoustic metamaterial with extreme Youngs modulus
Journal
Journal of the Mechanics and Physics of Solids
Journal Volume
59
Journal Issue
10
Pages
2070-2081
Date Issued
2011
Author(s)
Abstract
A mechanical model with local resonators is proposed as an acoustic metamaterial that exhibits an unusual frequency-dependent effective stiffness. If treated as an equivalent elastic solid, its effective Youngs modulus can become unbounded or vanishingly small at two respective frequencies. Moreover, in a certain frequency range, the effective Youngs modulus would become negative, resulting in a band gap that coincides with this frequency range. The wave attenuation behavior and mechanism are studied through numerical simulations on the acoustic metamaterial model. The capability of the metamaterial to selectively block or filter unwanted waves is demonstrated by a numerical simulation example. © 2011 Elsevier Ltd.
Type
journal article
