Numerical homogenization of the time - Harmonic acoustics of bone: The monophasic case

被引：0

作者：

Fang, Ming ^{[1
]}

Gilbert, Robert P. ^{[2
]}

Guyenne, Philippe ^{[2
]}

Vasilic, Ana ^{[2
]}

机构：

[1] Norfolk State Univ, Dept Math, Norfolk, VA 23504 USA

[2] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

来源：

INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING | 2007年 / 5卷 / 06期

关键词：

two scale convergence; time harmonic waves; viscoelasticity of Kelvin-Voigt;

D O I：

10.1615/IntJMultCompEng.v5.i6.30

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In the predecessor to this work, we undertook a derivation of the time-harmonic, acoustic equations, idealizing the bone as a periodic arrangement of a Kelvin-Voigt viscoelastic porous matrix containing a viscous fluid, where we assumed that the fluid was slightly compressible. The effective equations for the monophasic vibrations were obtained, and existence and uniqueness was proved. In the current article, we perform numerical experiments, assuming that the trabeculae are isotropic.

引用

页码：461 / 471

页数：11

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