Contact Problem For Thin Biphasic Cartilage Layers: Perturbation Solution

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

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 sub-chondral bones are modeled as biphasic materials consisting of a solid phase and a fluid phase. It is assumed that the subchondral bones are rigid and shaped like elliptic paraboloids. The obtained analytical solutio...

Exact Solution to a Refined Contact Problem for Biphasic Cartilage Layers

Solution to biomechanical contact problems for biological joints are of great importance for medical applications, especially in analysing different stages of osteoarthitis. As the cartilage layers are extremely thin in comparison with the characteristic size of the bones while the physics of the problem is rather complicated, direct computations can meet with serious numerical difficulties [1]...

Analysis of the unilateral contact problem for biphasic cartilage layers with an elliptic contact zone and accounting for the tangential displacements

A three-dimensional unilateral contact problem for articular cartilage layers attached to subchondral bones shaped as elliptic paraboloids is considered in the framework of the biphasic cartilage model. The main novelty of the study is in accounting not only for the normal (vertical), but also for tangential vertical (horisontal) displacements of the contacting surfaces. Exact general relations...

Contact analysis of biphasic transversely isotropic cartilage layers and correlations with tissue failure.

Failure of articular cartilage has been investigated experimentally and theoretically, but there is only partial agreement between observed failure and predicted regions of peak stresses. Since trauma and repetitive stress are implicated in the etiopathogenesis of osteoarthritis, it is important to develop cartilage models which correctly predict sites of high stresses. Cartilage is anisotropic...

Perturbation Theory for Thin Cladding Layers on Silicon Photonic Systems