Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 55, Issue 9-10, Pages 2029-2039Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2011.12.004
Keywords
Shear-thinning pore fluid; Ultrasound; Poroelasticity
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Funding
- National Science Foundation Research Math, Biology [DMS-0920850, 0920852]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [0920850] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0920852] Funding Source: National Science Foundation
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A variant of the Biot-Johnson model of a poroelastic material is investigated to see if the viscosity of the interstitial fluid is significant in the ultrasound insonification of non-defatted cancellous bone. The equations of motion are derived using a Lagrangian formulation. Numerical experiments are performed on various bone samples. It is shown that the viscosity of the interstitial fluid does indeed signify in the ultrasound frequency range. (C) 2011 Elsevier Ltd. All rights reserved.
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