Derivation of a Poroelastic Flexural Shell Model

DOI10.1137/15M1021556zbMath1342.35383arXiv1504.06097OpenAlexW2166701390MaRDI QIDQ2806411

Andro Mikelić, Josip Tambača

Publication date: 18 May 2016

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06097

zbMATH Keywords

asymptotic methodsbending-flow couplingBiot's quasi-static equationshigher order degenerate elliptic-parabolic systemsthin poroelastic shell

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Effective constitutive equations in solid mechanics (74Q15) Shells (74K25) Flows in porous media; filtration; seepage (76S05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

Mathematical theory of nonlinear single-phase poroelasticity ⋮ Derivation of a poroelastic elliptic membrane shell model ⋮ On Computer Simulation of Fluid-Porous Structure Interaction Problems for a Class of Filtration Problems ⋮ Multilayered Poroelasticity Interacting with Stokes Flow ⋮ Iterative methods for solving a poroelastic shell model of Naghdi's type

Cites Work

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