Contact problem for thin biphasic cartilage layers: Perturbation solution

Abstract

A three-dimensional unilateral contact problem for articular cartilage layers is considered in the framework of the biphasic cartilage model. The articular cartilages bonded to subchondral bones are modelled as biphasic materials consisting of a solid phase and a fluid phase. It is assumed that the subchondral bones are rigid and shaped close to an elliptic paraboloid. The obtained analytical solution is valid over long time periods and can be used for increasing loading conditions. © The author 2011. Published by Oxford University Press all rights reserved.