中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3909-3917.doi: 10.1088/1674-1056/18/9/049

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The nonlinear propagation of acoustic waves in a viscoelastic medium containing cylindrical micropores

马力1, 冯雨霖2, 刘晓宙2, 刘杰惠2   

  1. (1)Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China; (2)Key Laboratory of Modern Acoustics, Ministry of Education, Institute of Acoustics, Nanjing University, Nanjing 210093, China
  • 收稿日期:2008-10-15 修回日期:2009-02-16 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10674066) and State Key Laboratory of Acoustics (Grant No 200802).

The nonlinear propagation of acoustic waves in a viscoelastic medium containing cylindrical micropores

Feng Yu-Lin(冯雨霖)a), Liu Xiao-Zhou(刘晓宙)a)† , Liu Jie-Hui(刘杰惠)a), and Ma Li(马力)b)   

  1. a Key Laboratory of Modern Acoustics, Ministry of Education, Institute of Acoustics, Nanjing University, Nanjing 210093, China; b Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2008-10-15 Revised:2009-02-16 Online:2009-09-20 Published:2009-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10674066) and State Key Laboratory of Acoustics (Grant No 200802).

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摘要： Based on an equivalent medium approach, this paper presents a model describing the nonlinear propagation of acoustic waves in a viscoelastic medium containing cylindrical micropores. The influences of pores' nonlinear oscillations on sound attenuation, sound dispersion and an equivalent acoustic nonlinearity parameter are discussed. The calculated results show that the attenuation increases with an increasing volume fraction of micropores. The peak of sound velocity and attenuation occurs at the resonant frequency of the micropores while the peak of the equivalent acoustic nonlinearity parameter occurs at the half of the resonant frequency of the micropores. Furthermore, multiple scattering has been taken into account, which leads to a modification to the effective wave number in the equivalent medium approach. We find that these linear and nonlinear acoustic parameters need to be corrected when the volume fraction of micropores is larger than 0.1%.

Abstract: Based on an equivalent medium approach, this paper presents a model describing the nonlinear propagation of acoustic waves in a viscoelastic medium containing cylindrical micropores. The influences of pores' nonlinear oscillations on sound attenuation, sound dispersion and an equivalent acoustic nonlinearity parameter are discussed. The calculated results show that the attenuation increases with an increasing volume fraction of micropores. The peak of sound velocity and attenuation occurs at the resonant frequency of the micropores while the peak of the equivalent acoustic nonlinearity parameter occurs at the half of the resonant frequency of the micropores. Furthermore, multiple scattering has been taken into account, which leads to a modification to the effective wave number in the equivalent medium approach. We find that these linear and nonlinear acoustic parameters need to be corrected when the volume fraction of micropores is larger than 0.1%.

Key words: nonlinearity, cylindrical micropores, equivalent medium approach, multiple scattering

中图分类号:  (Velocity and attenuation of acoustic waves)

  • 43.20.Hq
43.25.Ed (Effect of nonlinearity on velocity and attenuation)