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On dynamic analysis of contact problems with freeform surfaces : a knee joint 3...

Machado, Margarida F.; Flores, Paulo; Lopes, Daniel S.; Ambrósio, Jorge

One of the biomechanical roles of the knee joint is to withstand high loading forces. Thus, this articulation is quite susceptible to injuries and diseases, which may cause anomalous contact loads, asymmetrical gait patterns and local pain that, ultimately, leads to a knee replacement. In view of that, identifying and quantifying the loads placed on the human knee is critical for understanding realistic joint m...


A mathematical framework for contact detection between quadric and superquadric...

Lopes, Daniel S.; Silva, Miguel T.; Ambrósio, Jorge A.; Flores, Paulo

The calculation of the minimum distance between surfaces plays an important role in computational mechanics, namely, in the study of constrained multibody systems where contact forces take part. In this paper, a general rigid contact detection methodology for non-conformal bodies, described by ellipsoidal and superellipsoidal surfaces, is presented. The mathematical framework relies on simple algebraic and diff...


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