Mixed finite element modelling of cartilaginous tissues

E. F. Kaasschieter, A. J.H. Frijns, J. M. Huyghe

Research output: Contribution to journalConference articlepeer-review

Abstract

Swelling and shrinking of cartilaginous tissues is modelled by a four-component mixture theory. This theory results in a set of coupled non-linear partial differential equations for the electrochemical potentials and the displacement. For the sake of local mass conservation these equations are discretised in space by a mixed finite element method. Integration in time by backward Euler leads to a non-linear system of algebraic equations. A subtle solution strategy for this system is proposed and tested for one-dimensional situations.

Original languageEnglish
Pages (from-to)549-560
Number of pages12
JournalMathematics and Computers in Simulation
Volume61
Issue number3-6
DOIs
Publication statusPublished - 30 Jan 2003
Externally publishedYes
EventMODELLING 2001 - Second IMACS Conference on Mathematical Model - Pilsen, Czech Republic
Duration: 25 Jun 200129 Jun 2001

Keywords

  • Cartilaginous tissues
  • Darcy
  • Electrochemical potentials
  • Fick
  • Hooke
  • Mixed finite elements

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