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. 2013:2013:891759.
doi: 10.1155/2013/891759. Epub 2013 Sep 8.

Using Design of Experiments Methods for Assessing Peak Contact Pressure to Material Properties of Soft Tissue in Human Knee

Marjan Bahraminasab  1 , Ali Jahan  2 , Barkawi Sahari  3 , Manohar Arumugam  4 , Mahmoud Shamsborhan  5 , Mohd Roshdi Hassan  1
Affiliations

Using Design of Experiments Methods for Assessing Peak Contact Pressure to Material Properties of Soft Tissue in Human Knee

Marjan Bahraminasab et al. J Med Eng. 2013.

Abstract

Contact pressure in the knee joint is a key element in the mechanisms of knee pain and osteoarthritis. Assessing the contact pressure in tibiofemoral joint is a challenging mechanical problem due to uncertainty in material properties. In this study, a sensitivity analysis of tibiofemoral peak contact pressure to the material properties of the soft tissue was carried out through fractional factorial and Box-Behnken designs. The cartilage was modeled as linear elastic material, and in addition to its elastic modulus, interaction effects of soft tissue material properties were added compared to previous research. The results indicated that elastic modulus of the cartilage is the most effective factor. Interaction effects of axial/radial modulus with elastic modulus of cartilage, circumferential and axial/radial moduli of meniscus were other influential factors. Furthermore this study showed how design of experiment methods can help designers to reduce the number of finite element analyses and to better interpret the results.

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Figures

Figure 1
Figure 1
Different parts of FE model and contact pairs.
Figure 2
Figure 2
The finite element representation of the joint.
Figure 3
Figure 3
Comparison of the results of peak contact pressure on the tibial plateau.
Figure 4
Figure 4
Contact pressure distribution in the tibial cartilage in first experiment.
Figure 5
Figure 5
The main effects plot (data means) of peak contact pressure.
Figure 6
Figure 6
Interaction plot of peak contact pressure for E 1 and K.
Figure 7
Figure 7
Normal probability plot of residuals. (a) Linear and (b) full quadratic regression model (response is peak contact pressure).
Figure 8
Figure 8
Surface plot of peak contact pressure versus E 2,3 and E (at E 1 = 1500 (Mpa), K = 4000 (N/mm)).
Figure 9
Figure 9
Contour plot of peak contact pressure (Mpa) versus E 2,3, E 1 (at E = 16 (Mpa), K = 4000 (N/mm)).
Figure 10
Figure 10
Surface plot of peak contact pressure versus E 1 and K (at E = 16 (Mpa), E 2,3 = 30 (N/mm)).
Figure 11
Figure 11
Behavior of quadratic estimated model for peak contact pressure with respect to E.
Figure 12
Figure 12
Normal probability plot of residuals for regression model using optimized value of E.
Figure 13
Figure 13
Residuals versus the fitted values in estimated regression model using optimized value of E.
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