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International Journal for Multiscale Computational Engineering

 

ISSN for PRINT: 1543-1649

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$747.00

Issues per year:

6

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2007, Volume5

Issue 6

  77 pages  

DOI: 10.1615/IntJMultCompEng.v5.i6   

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  • Numerical Homogenization of the Time-Harmonic Acoustics of Bone: The Monophasic Case
  • Ming Fang
    Department of Mathematics, Norfolk State University, Norfolk, VA 23504, USA

    Robert P. Gilbert
    Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, U.S.A.

    Philippe Guyenne
    Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA

    Ana Vasilic
    Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA


    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.

    DOI: 10.1615/IntJMultCompEng.v5.i6.30

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