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PhD Fekete - SZIE version - 2.2 - Szent István Egyetem

PhD Fekete - SZIE version - 2.2 - Szent István Egyetem

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2.3.2. General numerical models<br />

Literature review<br />

Although the knee is statically unstable structure, the surrounding ligaments, menisci, and<br />

muscles sustain its stability. In case of investigating local kinematics and/or kinetics of the knee<br />

joint, an adequately complex model has to be created. By importing realistic geometry of the<br />

condyles into a modelling software, muscle forces or contact pressures (in case of deformable<br />

bodies) can be predicted. Since computational models outnumber analytical models, only the<br />

most cited three-dimensional multibody and finite element models are summarized in Table 2.3.<br />

AUTHORS<br />

DYNAMIC / QUASI-<br />

MODEL TYPE CONTACT<br />

STATIC<br />

Wismans et al., 1980 Quasi-static Knee Rigid<br />

Blankevoort et al., 1991 Quasi-static Knee Deformable<br />

Pandy et al., 1997, 1998 Quasi-static Knee Deformable<br />

A-Rahmann and Hefzy, 1998 Quasi-static Knee Rigid<br />

Kwak et al., 2000 Quasi-static Knee Deformable<br />

Piazza and Delp, 2001 Dynamic Full-body Rigid<br />

Cohen et al., 2003 Quasi-static Knee Deformable<br />

Dhaher and Kahn, 2002 Quasi-static Knee Rigid<br />

Chao, 2003 Quasi-static Knee Deformable<br />

Guess et al., 2010 Dynamic Knee Deformable<br />

Bíró et al., 2010 Dynamic Knee Rigid<br />

Table 2.3. Numerical knee models<br />

It is clear from the table that both rigid- and deformable models are frequently used. Most of the<br />

cases, the authors were in agreement – as an adequate approximation – to model only the knee<br />

itself, not the complete leg or body.<br />

The rigid body models or multibody models generally lack the ability to calculate contact<br />

pressures, but have the advantage of providing precise contact definition, not only static but real<br />

dynamic simulation and quick iteration.<br />

On the other hand, finite element models, due to the considerable simulation time, are often<br />

used for static simulation but they offer more calculation options against the multibody models.<br />

2.3.3. Sliding-rolling phenomenon – Numerical models<br />

In this subsection, a review has been assembled, similarly to the earlier section, where the early<br />

models are revised, highlighting their advantages, disadvantages and their results related to<br />

sliding-rolling.<br />

Compared to other questions, the sliding-rolling phenomenon, with regard to physiological knee<br />

joints or TKRs, earned the interest of lesser authors, which is apparent due to the low number of<br />

studies about this specific area.<br />

Van Eijden et al. [Van Eijden et al., 1986] constituted remarkably not only in the kinetics of the<br />

human knee joint, but also in the kinematics, by being the first ones who gave local description<br />

about the sliding-rolling phenomenon (denoted in their paper as rolling-gliding) between the<br />

femur and the patella (Figure 2.50).<br />

– 53 –

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