A generalized macroscopic model for sound-absorbing poroelastic media using the homogenization method

T. Yamamoto, S. Maruyama, Kenjiro Terada, K. Izui, S. Nishiwaki

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

This paper proposes a new macroscopic model for sound-absorbing poroelastic media which is derived by using the homogenization theory based on the method of asymptotic expansions. The derivation of the macroscopic properties and governing equations takes into account the multiphysics occurring in poroelastic media for sound absorption, including elastic motions of the solid phase, compressible viscous fluid flow, and the distributions of pressure and temperature in the fluid phase. The coupled effects between the elastic solid and the fluid pressure, and the temperature and the fluid pressure are also considered. In contrast to the conventional Biot's model, which includes heuristic formulae, the proposed method yields a rigorous model that is consistent with the principal governing equations on the microscopic scale. Utilizing several models that have simple microscopic geometry and comparing the numerical solutions obtained using the proposed method with corresponding analytical solutions, we demonstrate that the derived macroscopic governing equations can provide accurate and effective predictions.

Original languageEnglish
Pages (from-to)251-264
Number of pages14
JournalComputer Methods in Applied Mechanics and Engineering
Volume200
Issue number1-4
DOIs
Publication statusPublished - 2011 Jan 1

Keywords

  • Biot's model
  • Homogenization method
  • Poroelastic material
  • Sound absorption

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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