 |
Journal articles
Homogenization of a model for the propagation of sound in the lungs
Abstract : In this paper, we are interested in the mathematical modeling of the propagation of sound waves in the lung parenchyma, which is a foam-like elastic material containing millions of air-filled alveoli. In this study, the parenchyma is governed by the linearized elasticity equations, and the air by the acoustic wave equations. The geometric arrangement of the alveoli is assumed to be periodic with a small period ε > 0. We consider the time-harmonic regime forced by vibrations induced by volumic forces. We use the two-scale convergence theory to study the asymptotic behavior as ε goes to zero and prove the convergence of the solutions of the coupled fluid-structure problem to the solution of a linear-elasticity boundary value problem.
Cited literature [35 references]
https://hal.sorbonne-universite.fr/hal-00764982
Contributor : Paul Cazeaux <>
Submitted on : Wednesday, December 16, 2015 - 9:30:39 PM
Last modification on : Wednesday, December 9, 2020 - 3:44:50 AM
Long-term archiving on: : Saturday, April 29, 2017 - 5:13:30 PM
Contributor : Paul Cazeaux <>
Submitted on : Wednesday, December 16, 2015 - 9:30:39 PM
Last modification on : Wednesday, December 9, 2020 - 3:44:50 AM
Long-term archiving on: : Saturday, April 29, 2017 - 5:13:30 PM
File
Main_final.pdf
Files produced by the author(s)
Licence
Distributed under a Creative Commons Attribution - NonCommercial 4.0 International License