Homogenization of a multiscale viscoelastic model with nonlocal damping, application to the human lungs

DOI10.1142/S0218202515500293zbMath1316.35017MaRDI QIDQ5247106

Paul Cazeaux, Céline Grandmont

Publication date: 22 April 2015

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

Poiseuille flowfluid-structure interactionperiodic homogenizationtwo-scale convergencenumerical resolutionlung parenchymafoam-like structure

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Effective constitutive equations in solid mechanics (74Q15) Flows in porous media; filtration; seepage (76S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Biomechanics (92C10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (3)

Mixing local and nonlocal evolution equations ⋮ Homogenization for nonlocal problems with smooth kernels ⋮ Nonlocal problems in perforated domains

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