English

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

Biological Physics 2010-09-24 v1 Exactly Solvable and Integrable Systems Tissues and Organs

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 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 solution is valid over long time periods and can be used for increasing loading conditions.

Cite

@article{arxiv.1009.4490,
  title  = {A closed-form solution of the three-dimensional contact problem for biphasic cartilage layers},
  author = {I. I. Argatov and G. S. Mishuris},
  journal= {arXiv preprint arXiv:1009.4490},
  year   = {2010}
}

Comments

10 pages

R2 v1 2026-06-21T16:17:52.117Z