软弹性介质中气泡动力学方程的修正

Modifications of the equation for gas bubble dynamics in a soft elastic medium.

作者信息

Zabolotskaya Evgenia A, Ilinskii Yurii A, Meegan G Douglas, Hamilton Mark F

机构信息

Applied Research Laboratories, The University of Texas at Austin, Austin, Texas 78713-8029, USA.

出版信息

J Acoust Soc Am. 2005 Oct;118(4):2173-81. doi: 10.1121/1.2010348.

DOI:10.1121/1.2010348

PMID:16266139

Abstract

A model equation for the oscillation of a pressurized gas bubble in a nonlinear incompressible elastic medium [Emelianov et al., J. Acoust. Soc. Am. 115, 581 (2004)] is extended to include effects of surface tension, viscosity, weak compressibility, and confinement by an elastic shell. The significance of this work is that starting from first principles, the full nonlinearity of the incompressible elastic medium surrounding the bubble and forming its shell is taken into account. Measurements of equilibrium radius as a function of external pressure for a gas bubble in a tissue-like gel are also presented. A general approach to including hysteresis is also discussed.

摘要

一个描述加压气泡在非线性不可压缩弹性介质中振荡的模型方程[叶梅利亚诺夫等人，《美国声学学会杂志》115, 581 (2004)]被扩展，以纳入表面张力、粘度、弱压缩性以及弹性壳约束的影响。这项工作的意义在于，从第一原理出发，考虑了围绕气泡并构成其壳层的不可压缩弹性介质的完全非线性。还给出了在类似组织的凝胶中气体气泡平衡半径随外部压力变化的测量结果。还讨论了纳入滞后现象的一般方法。