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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v5.i6.30
pages 461-471

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
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.


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