A unilateral axisymmetric contact problem for a biphasic cartilage layer indented by a rigid punch is considered. The refined linearized kinetic relationship which takes into account the both radial and tangential displacements of the boundary points of the biphasis cartilage layer is imposed. The obtained analytical solution is valid over long time periods and can be used for increasing loading conditions. It can be used as it is and as a benchmark for verification of FEM model accuracy.