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 language | English |
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Pages (from-to) | 549-560 |
Number of pages | 12 |
Journal | Mathematics and Computers in Simulation |
Volume | 61 |
Issue number | 3-6 |
DOIs | |
Publication status | Published - 30 Jan 2003 |
Externally published | Yes |
Event | MODELLING 2001 - Second IMACS Conference on Mathematical Model - Pilsen, Czech Republic Duration: 25 Jun 2001 → 29 Jun 2001 |
Keywords
- Cartilaginous tissues
- Darcy
- Electrochemical potentials
- Fick
- Hooke
- Mixed finite elements