From arteries to boreholes: steady-state response of a poroelastic cylinder to fluid injection

DOI10.1098/rspa.2016.0753zbMath1404.76251arXiv1609.09457OpenAlexW2525040934WikidataQ55030816 ScholiaQ55030816MaRDI QIDQ4647208

Christopher W. Macminn, L. C. Auton

Publication date: 4 January 2019

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.09457

zbMATH Keywords

nonlinear elasticityporous mediaporoelasticityspectral collocation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Physiological flows (76Z05) Physiological flow (92C35)

Related Items

On strain-induced degradation of the polymeric skeleton in poro-hyperelastic inflating vessels by a non-equilibrium thermodynamic framework ⋮ Parameter‐robust mixed element method for poroelasticity with Darcy‐Forchheimer flow ⋮ Revisiting steady viscous flow of a generalized Newtonian fluid through a slender elastic tube using shell theory ⋮ A locking free numerical approximation for quasilinear poroelasticity problems ⋮ From arteries to boreholes: transient response of a poroelastic cylinder to fluid injection ⋮ Theory of the flow-induced deformation of shallow compliant microchannels with thick walls ⋮ A moving finite element framework for fast infiltration in nonlinear poroelastic media ⋮ Nonlinear and non-local analytical solution for Darcy–Forchheimer flow through a deformable porous inclusion within a semi-infinite elastic medium

Uses Software

• Matlab
• Differentiation Matrix Suite

Cites Work

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