Normal and tangential contact of layered spheres as models of joint contact

A. W. Eberhardt*, J. L. Lewis, L. M. Keer

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The causes of cracking in degenerating cartilage are examined using analytical models of layered elastic spheres in normal and tangential contact. Vertical surface and deep radial cracks as well as interfacial separation between cartilage and bone are observed in osteoarthritic joints. Blunt trauma experiments show vertical cracking in the underlying bone and calcified cartilage, and at the cartilage surface for higher loads. The single layer model shows that normal loading induces tensile stresses at the surface for small contact radius to layer thickness (a/h) values. Significant shear stress is predicted at the cartilage-bone interface.

Original languageEnglish (US)
Title of host publicationMechanics Computing in 1990's and Beyond
EditorsHojjat Adeli, Robert L. Sierakowski
PublisherPubl by ASCE
Number of pages5
ISBN (Print)0872628043
StatePublished - Jan 1 1991
EventASCE Engineering Mechanics Specialty Conference - Columbus, OH, USA
Duration: May 20 1991May 22 1991


OtherASCE Engineering Mechanics Specialty Conference
CityColumbus, OH, USA

ASJC Scopus subject areas

  • Engineering(all)


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