Deriving the effective ultrasound equations for soft tissue interrogation

DOI10.1016/j.camwa.2004.09.005zbMath1236.74239OpenAlexW2031228652MaRDI QIDQ2387348

Xuming Xie, Robert P. Gilbert, Ming Fang

Publication date: 2 September 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.09.005

zbMATH Keywords

microstructurehomogenizationviscoelastic propertiestwo-scale convergenceelastic propertiescollagen

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Medical applications (general) (92C50) Linear constitutive equations for materials with memory (74D05) Hydro- and aero-acoustics (76Q05) Biomechanical solid mechanics (74L15)

Cites Work

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• Non-homogeneous media and vibration theory
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• Acoustics of a stratified poroelastic composite
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Homogenization of a viscoelastic matrix in linear frictional contact

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