Effective mass density of a periodic array of acoustic media by homogenization analysis
Journal
Journal of the Physical Society of Japan
Journal Volume
79
Journal Issue
1
Date Issued
2010
Author(s)
Liu, Y.-H.
Abstract
Effective mass densities of periodic microstructures were posed in different forms for waves propagating in solid-in-fluid composite materials. In this study, we develop a homogenization analysis to derive a unified formula of the effective mass density tensor for a periodic array of acoustic solid embedded in an inviscid fluid. It is shown that the inverse effective mass density is modified from the inverse harmonic mean of the composing mass densities according to the detailed microstructure in respective physical dimensions. Some earlier results of effective mass density derived by previous authors are recovered by making simplified assumptions, whence we may assess their validity and limitations. The anisotropy of the effective mass density with respect to the direction of wave propagation is also discussed.
SDGs
Type
journal article