TY - GEN

T1 - Numerical modelling of cartilage as a deformable porous medium

AU - Frijns, A.J.H.

AU - Kaasschieter, E.F.

AU - Huyghe, J.M.R.J.

PY - 2002

Y1 - 2002

N2 - Soft biological tissues, like cartilage and intervertebral disc tissue, exhibit swelling and shrinking behaviour due to mechanical and chemical loadings. A mixture theory is used to simulate this behaviour.
First, the biphasic mixture theory is investigated. In this theory, the mechanical behaviour is described by mass and momentum balances, and constitutive equations. As a result a system of coupled, time-dependent, non-linear equations is obtained. These equations are discretised in space by a mixed-hybrid finite element method, and in time by a suitable implicit time integrator. Unlike the u- p formulation (the displacements and the fluid pressure are the unknowns), the mixed-hybrid finite element method yields a conservative velocity-field of the fluid, which is a sound basis for accurate computations of, for example, diffusion of particles inside the fluid.
Then, the biphasic mixture theory is extended to a four components mixture theory in order to model chemical and electrical phenomena inside the material.

AB - Soft biological tissues, like cartilage and intervertebral disc tissue, exhibit swelling and shrinking behaviour due to mechanical and chemical loadings. A mixture theory is used to simulate this behaviour.
First, the biphasic mixture theory is investigated. In this theory, the mechanical behaviour is described by mass and momentum balances, and constitutive equations. As a result a system of coupled, time-dependent, non-linear equations is obtained. These equations are discretised in space by a mixed-hybrid finite element method, and in time by a suitable implicit time integrator. Unlike the u- p formulation (the displacements and the fluid pressure are the unknowns), the mixed-hybrid finite element method yields a conservative velocity-field of the fluid, which is a sound basis for accurate computations of, for example, diffusion of particles inside the fluid.
Then, the biphasic mixture theory is extended to a four components mixture theory in order to model chemical and electrical phenomena inside the material.

U2 - 10.1007/0-306-46953-7_14

DO - 10.1007/0-306-46953-7_14

M3 - Conference contribution

SN - 0-7923-6766-9

T3 - Solid Mechanics and its Applications

SP - 99

EP - 104

BT - IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials (Proceedings, Stuttgart, Germany, September 5-10, 1999)

A2 - Ehlers, W.

PB - Kluwer Academic Publishers

CY - Dordrecht

T2 - conference; IUTAM Symposium, Stuttgart; 1999-09-05; 1999-09-10

Y2 - 5 September 1999 through 10 September 1999

ER -