Mixed finite element modelling of cartilaginous tissues

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

Mathematics and Computers in Simulation (MATCOM), 2003, vol. 61, issue 3, 549-560

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.

Keywords: Cartilaginous tissues; Electrochemical potentials; Mixed finite elements; Darcy; Fick; Hooke (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:61:y:2003:i:3:p:549-560

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