A model for sound-absorbing poroelastic material using multiscale analysis

Takashi Yamamoto, Shinichi Maruyama, Kazuhiro Izui, Shinji Nishiwaki, Kenjiro Terada

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we propose a model for sound-absorbing poroelastic materials using the homogenization method, based on the asymptotic approach. In contrast to the conventional Biot's model which is empirical and is not linked with the microstructure, the proposed model is consistent with microscopic structure and yields a macroscopic governing equation with properties predicted directly from microscopic geometry. In this model, four properties for the solid phase and two properties for the fluid phase are calculated by averaging characteristic functions of the periodic microscale model. These properties are then substituted into the macroscopic governing equations to evaluate performance such as the sound absorption coefficient for normal incidence. The proposed model is reduced to an equivalent monophasic model, i.e., an elastic solid model when the pore size is infinitely small, and a fluid model governed by the Helmholtz equation when the bulk modulus of the solid phase is sufficiently high compared to the bulk modulus of the fluid phase. Utilizing two-dimensional models with simple microscopic geometries where analytical solutions of sound absorption coefficients for normal incidence can be obtained, we show that the proposed method can provide accurate numerical solutions that converge to solutions obtained analytically as the discretization parameter of the microstructural model is made smaller. We also show how the actual size of the microscale affects the sound absorption coefficient, using a three-dimensional microstructure model.

Original languageEnglish
Pages (from-to)2039-2048
Number of pages10
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume76
Issue number768
DOIs
Publication statusPublished - 2010 Aug

Keywords

  • Damping
  • Homogenization
  • Poroelastic material
  • Simulation
  • Sound absorption
  • Sound and acoustic

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

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