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A three-dimensional unilateral contact problem for articular cartilage layersis considered in the framework of the biphasic cartilage model. The articularcartilages bonded to subchondral bones are modeled as biphasic materialsconsisting of a solid phase and a fluid phase. It is assumed that thesubchondral bones are rigid and shaped like elliptic paraboloids. The obtainedanalytical solution is valid over long time periods and can be used forincreasing loading conditions.

A closed-form solution of the three-dimensional contact problem for biphasic cartilage layers