Based on the nonlinear oscillation of an airfilled bubble in weakly compressible media at prestressed state, the effective medium method is used to study the nonlinear property of the slightly compressible media permeated with air bubbles. It is this nonlinear oscillation of air bubbles that results in the nonlinear property of the porous media. Numerical results have confirmed that the nonlinearity of the porous media is usually high, though the optimal porosity is very small. Moreover, the nonlinear property is greatly affected by the prestressed state, porosity, and shear modulus of the matrix media.
| [1] |
G. C. Gaunaurd and H. Überall, J. Acoust. Soc. Am., 1983, 74(1): 305
|
| [2] |
G. C. Gaunaurd and W. Wertman, J. Acoust. Soc. Am., 1989, 85(2): 541
|
| [3] |
L. A. Ostrovskii, Sov. Phys. Acoust., 1988, 34: 523
|
| [4] |
L. A. Ostrovskii, J. Acoust. Soc. Am., 1991, 90: 3332
|
| [5] |
L. D. Landau and E. M. Lifshitz, Theory of elasticity, 3rd Ed., New York: Pergamon, 1986
|
| [6] |
E. Meyer, K. Brendel, and K. Tamn, J. Acoust. Soc. Am., 1958, 30: 1116
|
| [7] |
J. S. Allen and R. A. Roy, J. Acoust. Soc. Am., 2000, 107: 3167
|
| [8] |
J. S. Allen and R. A. Roy, J. Acoust. Soc. Am., 2000, 108: 1640
|
| [9] |
C. C. Church, J. Acoust. Soc. Am., 1995, 97: 1510
|
| [10] |
D. B. Khismatullin and A. Nadim, Phys. Fluids, 2002, 14: 3534
|
| [11] |
E. A. Zabolotskaya, Y. A. Llinskii, G. D. Meegan, and M. F. Hamilton, J. Acoust. Soc. Am., 2005, 115: 2173
|
| [12] |
S. Y. Emelianov, M. F. Hamilton, Y. A. Llinskii, and E. A. Zabolotskaya, J. Acoust. Soc. Am., 2004, 115: 581
|
| [13] |
B. Qin, J. Chen, and J. Cheng, Acous. Phys., 2006, 52: 418
|
| [14] |
M. Mooney, J. Appl. Phys., 1940, 11: 582
|
| [15] |
B. Qin, B. Liang, Z. Zhu, and J. Cheng, Front. Phys. China, 2006, 1: 500
|
| [16] |
Z. Fan, ., Acta Acust. United Ac., 2006, 92: 217
|
RIGHTS & PERMISSIONS
Higher Education Press and Springer-Verlag Berlin Heidelberg
PDF
(405KB)
