A mathematical analysis for indentation tests of articular cartilage

W. C. Hayes*, Leon M Keer, G. Herrmann, L. F. Mockros

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

757 Scopus citations


A mathematical model is developed for indentation tests of articular cartilage. The cartilage, normally bonded to the subchondral bone, is modeled as an infinite elastic layer bonded to a rigid half space, and the indenter is assumed to be a rigid axisymmetric punch. The problem is formulated as a mixed boundary value problem of the theory of elasticity and solutions are obtained for the indentation of the layer by the plane end of a rigid circular cylinder and by a rigid sphere. Subject to detailed verification with independent tests, the present solutions are suggested as useful for the determination of the elastic shear modulus of intact cartilage.

Original languageEnglish (US)
Pages (from-to)541-551
Number of pages11
JournalJournal of Biomechanics
Issue number5
StatePublished - Jan 1 1972

ASJC Scopus subject areas

  • Biophysics
  • Orthopedics and Sports Medicine
  • Biomedical Engineering
  • Rehabilitation


Dive into the research topics of 'A mathematical analysis for indentation tests of articular cartilage'. Together they form a unique fingerprint.

Cite this