A mixed finite element formulation of triphasic mechano-electrochemical theory for charged, hydrated biological soft tissues

DOI<1375::AID-NME635>3.0.CO;2-7 10.1002/(SICI)1097-0207(19990810)45:10<1375::AID-NME635>3.0.CO;2-7zbMath0949.74071OpenAlexW2072367425MaRDI QIDQ4267021

No author found.

Publication date: 1 December 1999

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19990810)45:10<1375::aid-nme635>3.0.co;2-7

zbMATH Keywords

displacementGalerkin weighted residual methodmixed finite element formulationsoft tissueimplicit Euler backward schemesparse matrix systemconfined compression configurationlinear isoparametric elementmodified electrochemical/chemical potentialsmodified Newton-Raphson iterative procedureone-dimensional linear isoparametric elementtriphasic mechano-electrochemical theorytriphasic stress relaxation problem

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Computational methods for problems pertaining to biology (92-08)

Related Items

Articular cartilage with intra and extrafibrillar waters - simulations of mechanical and chemical loadings by the finite element method ⋮ Estimation of Systematic and Spatially Correlated Components of Random Signals from Repeated Measurements: Application to Contrast Enhanced Computer Tomography Measurements ⋮ The role of the relative fluid velocity in an objective continuum theory of finite strain poroelasticity ⋮ Advances in modelling saturated soft biological tissues and chemically active gels ⋮ Estimation of fixed charge density and diffusivity profiles in cartilage using contrast enhanced computer tomography ⋮ Modelling of Swelling Phenomena in Charged Hydrated Porous Media ⋮ Towards systematic approach to boundary conditions in mixture and multiphasic incompressible models: maximum entropy principle estimate ⋮ Modeling and simulation of the deformation of multi-state hydrogels subjected to electrical stimuli ⋮ Development of a finite element contact analysis algorithm for charged-hydrated soft tissues with large sliding ⋮ Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory ⋮ Unnamed Item ⋮ A unified mixture formulation for density and volumetric growth of multi-constituent solids in tissue engineering ⋮ Mixed finite element modelling of cartilaginous tissues

Cites Work

• Incompressible porous media models by use of the theory of mixtures
• Effects of fixed charges on the stress-relaxation behavior of hydrated soft tissues in a confined compression problem
• Quadriphasic mechanics of swelling incompressible porous media
• A mixed-penalty finite element formulation of the linear biphasic theory for soft tissues
• Mechanics of Deformation and Acoustic Propagation in Porous Media
• Formulation and evaluation of a finite element model for the biphasic model of hydrated soft tissues
• Evaluation ofu -w andu - π finite element methods for the dynamic response of saturated porous media using one-dimensional models
• Evaluation of higher order, mixed and Hermitean finite element procedures for dynamic analysis of saturated porous media using one-dimensional models
• A hybrid finite element formulation of the linear biphasic equations for hydrated soft tissue
• Automated adaptive analysis of the biphasic equations for soft tissue mechanics using a posteriori error indicators
• A penalty finite element analysis for nonlinear mechanics of biphasic hydrated soft tissue under large deformation
• Reciprocal Relations in Irreversible Processes. I.
• Reciprocal Relations in Irreversible Processes. II.
• Triphasic finite element model for swelling porous media

This page was built for publication: A mixed finite element formulation of triphasic mechano-electrochemical theory for charged, hydrated biological soft tissues