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 journalArticlepeer-review

4 Citations (Scopus)


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 languageEnglish
Pages (from-to)461-471
Number of pages11
JournalInternational Journal for Multiscale Computational Engineering
Issue number6
Publication statusPublished - 2007
Externally publishedYes


  • 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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