Variationally derived 3-field finite element formulations for quasistatic poroelastic analysis of hydrated biological tissues

DOI10.1016/S0045-7825(97)00208-9zbMath0963.74064OpenAlexW1975098157WikidataQ127372909 ScholiaQ127372909MaRDI QIDQ1971471

E. H. Frank, M. E. Levenston, Alan J. Grodzinsky

Publication date: 18 June 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00208-9

zbMATH Keywords

Lagrange multiplierpenalty formulationprinciple of virtual powerfinite deformationincompressible solidcontinuum mixture theorymixed finite element formulationsaugmented Lagrangian representationBiot formulationhydrated biological tissuesquasistatic poroelasticitysaturation/incompressibility constraint

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Related Items (13)

A mixed hybrid finite element framework for the simulation of swelling ionized hydrogels ⋮ A variational RVE-based multiscale poromechanical formulation applied to soft biological tissues under large deformations ⋮ A stabilized finite element method for finite-strain three-field poroelasticity ⋮ Enriched mixed finite element models for dynamic analysis of continuous and fractured porous media ⋮ Fluid-structure interaction with applications in biomechanics ⋮ A finite element solution procedure for porous medium with fluid flow and electromechanical coupling ⋮ Dynamics of porous media at finite strain ⋮ Hydro-mechanical simulation of the saturated and semi-saturated porous soil-rock mixtures using the numerical manifold method ⋮ Enriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticity ⋮ A mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous media ⋮ Numerical manifold computational homogenization for hydro-dynamic analysis of discontinuous heterogeneous porous media ⋮ Multiphysics finite element method for a nonlinear poroelasticity model with finite strain ⋮ Hydro-mechanical multiscale numerical manifold model of the three-dimensional heterogeneous poro-elasticity

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