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

Robert P. Gilbert; Ming Fang; Philippe Guyenne; Ana Vasilic

doi:10.1615/IntJMultCompEng.v5.i6.30

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

Robert P. Gilbert, Ming Fang, Philippe Guyenne, Ana Vasilic

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	461-471
Number of pages	11
Journal	International Journal for Multiscale Computational Engineering
Volume	5
Issue number	6
DOIs	https://doi.org/10.1615/IntJMultCompEng.v5.i6.30
Publication status	Published - 2007
Externally published	Yes

Keywords

Time harmonic waves
Two scale convergence
Viscoelasticity of Kelvin-Voigt

ASJC Scopus subject areas

Control and Systems Engineering
Computational Mechanics
Computer Networks and Communications

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10.1615/IntJMultCompEng.v5.i6.30

Cite this

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AU - Fang, Ming

AU - Guyenne, Philippe

AU - Vasilic, Ana

PY - 2007

Y1 - 2007

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AB - 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.

KW - Time harmonic waves

KW - Two scale convergence

KW - Viscoelasticity of Kelvin-Voigt

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JF - International Journal for Multiscale Computational Engineering

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

Abstract

Keywords

ASJC Scopus subject areas

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