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Effective medium method of slightly compressible elastic media permeated with air-filled bubbles |
| QIN Bo1, LIANG Bin2, ZHU Zhe-min2, CHENG Jian-chun2 |
| 1.Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; 2.Institute of Acoustics, Nanjing University, Nanjing 210093, China; |
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Abstract An effective medium method is developed for the slightly compressible elastic media permeated with air-filled bubbles, according to the nonlinear oscillation of the bubble, which happens when compressional wave travels through the porous media. The effective Lame coefficients of the porous medium and the nonlinear elastic wave equation are deduced, based on the fact that the micro-unit of the effective medium should have the same stress and strain as the micro-unit of the porous media. The linearized properties obtained by this method are in good agreement with the results of Gaunaurd s classic theory [Gaunaurd G.C. and ?berall H., J. Acoust. Soc. Am., 1978, 63: 1699 1711]. Furthermore, the nonlinear coefficient, which is an important property of the porous media, can also be acquired by this method.
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Issue Date: 05 December 2006
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