Prediction of sound absorption coefficients of poroelastic media by the homogenization method

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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
Title of host publicationProceedings of ISMA 2010 - International Conference on Noise and Vibration Engineering, including USD 2010
EditorsP. Sas, B. Bergen
PublisherKatholieke Universiteit Leuven
Pages4737-4751
Number of pages15
ISBN (Electronic)9789073802872
Publication statusPublished - 2010 Jan 1
Event24th International Conference on Noise and Vibration Engineering, ISMA 2010, in conjunction with the 3rd International Conference on Uncertainty in Structural Dynamics, USD 2010 - Leuven, Belgium
Duration: 2010 Sep 202010 Sep 22

Publication series

NameProceedings of ISMA 2010 - International Conference on Noise and Vibration Engineering, including USD 2010

Other

Other24th International Conference on Noise and Vibration Engineering, ISMA 2010, in conjunction with the 3rd International Conference on Uncertainty in Structural Dynamics, USD 2010
CountryBelgium
CityLeuven
Period10/9/2010/9/22

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Acoustics and Ultrasonics

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