A validation of the quadriphasic mixture theory for intervertebral disc tissue

DOI10.1016/S0020-7225(97)00047-5zbMath0916.73037OpenAlexW2110353311MaRDI QIDQ1388345

J. D. Janssen, Jacques M. Huyghe, Arjan J. H. Frijns

Publication date: 11 October 1998

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7225(97)00047-5

zbMATH Keywords

nonlinear integral equationsfluidswellingshrinkingsoft biological tissuesweighted residual approachanionscationscharged solidNewton-Raphson iteration procedure

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics of continua (80A17) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Related Items (11)

Articular cartilage with intra and extrafibrillar waters - simulations of mechanical and chemical loadings by the finite element method ⋮ Advances in modelling saturated soft biological tissues and chemically active gels ⋮ A mixed hybrid finite element framework for the simulation of swelling ionized hydrogels ⋮ Towards systematic approach to boundary conditions in mixture and multiphasic incompressible models: maximum entropy principle estimate ⋮ Chemomechanical models for soft tissues based on the reconciliation of porous media and swelling polymer theories ⋮ A microstructure-based model for time-dependent mechanics of multi-layered soft tissues and its application to intervertebral disc annulus ⋮ Modeling large-deformation-induced microflow in soft biological tissues ⋮ Multiphasic intervertebral disc mechanics: theory and application ⋮ Chemically induced deformation of a porous layer coupled with advective-dispersive transport. Analytical solutions ⋮ Electro-poroelastohydrodynamics of the endothelial glycocalyx layer ⋮ Mixed finite element modelling of cartilaginous tissues

Cites Work

• On multicomponent, multiphase thermomechanics with interfaces
• Quadriphasic mechanics of swelling incompressible porous media
• Triphasic finite element model for swelling porous media

This page was built for publication: A validation of the quadriphasic mixture theory for intervertebral disc tissue