In this chapter, an asymptotic modeling methodology for tibio-femoral contact is developed, based on the asymptotic models of frictionless unilateral contact interaction between thin cartilage layers. In Sect. 7.1, the normal contact forces, which are needed for multibody dynamics simulations, are determined analytically based on the exact solution for elliptical contact between thin cartilage layers generally modeled as viscoelastic incompressible layers. In Sect. 7.2, the equivalent HuntCrossley model for articular contact is developed in the framework of the short-time contact model for thin bonded biphasic layers.