Published 6 issues per year
ISSN Print: 1543-1649
ISSN Online: 1940-4352
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Numerical Homogenization of the Time-Harmonic Acoustics of Bone: The Monophasic Case
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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Gilbert Robert P., Guyenne Philippe, Hsiao George C., Determination of cancellous bone density using low frequency acoustic measurements, Applicable Analysis, 87, 10-11, 2008. Crossref
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Gilbert Robert P., Guyenne Philippe, Li Jing, Numerical investigation of ultrasonic attenuation through 2D trabecular bone structures reconstructed from CT scans and random realizations, Computers in Biology and Medicine, 45, 2014. Crossref
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Gilbert Robert P., Vasilic Ana, Ilic Sandra, Homogenization Theories and Inverse Problems, in Bone Quantitative Ultrasound, 2011. Crossref