Ea. Patterson et al., A COMPARATIVE-STUDY OF LINEAR AND NONLINEAR SIMULATIONS OF THE LEAFLETS IN A BIOPROSTHETIC HEART-VALVE DURING THE CARDIAC CYCLE, Journal of medical engineering & technology, 20(3), 1996, pp. 95-108
Two geometrically identical models of the leaflets of a bicuspid biopr
osthetic heart valve have been constructed using finite elements. The
boundary conditions applied to the models were also identical but a li
near material model has been used in one and a nonlinear elastic model
in the other. The models were full-scale and contained 2600 Belytschk
o-Lin-Tsai shell elements which allowed the variation of stress throug
h the thickness of the leaflet to be modelled. A time-varying, spatial
ly-uniform pressure differential was applied across the leaflets to mo
del their behaviour during a complete cardiac cycle. The simulation wa
s performed using a dynamic, explicit, time-stepping, finite element c
ode. A comparison of the two models showed that the nonlinear model wa
s more responsive to the time-varying pressure wave, and deformed into
more complex shapes during the opening and closing phases which induc
ed lower compressive but higher tensile stresses in the leaflets.