On the sufficiency conditions for the stability of bone remodeling equilibrium

S. C. Cowin, G. M. Luo, A. M. Sadegh, T. P. Harrigan

Research output: Contribution to journalArticle

Abstract

In this technical note a sufficiency condition is established for the stability of a strain-energy-based bone remodeling theory in the special case of a beam loaded by an axial force and a bending moment. In a previous report the same condition was shown to be a necessary condition for stability in the same situation. The remodeling scheme is one characterized by a remodeling stimulus equal to the strain energy density divided by the bulk or apparent density raised to an exponent m as well as an elastic modulus proportional to bulk or apparent density raised to an exponent n. In order for a remodeling scheme to be stable for an elastic beam loaded by an axial force and a bending moment, it is established that the condition that m must be greater than n is not only necessary, but also sufficient.

Original languageEnglish (US)
Pages (from-to)183-186
Number of pages4
JournalJournal of Biomechanics
Volume27
Issue number2
DOIs
StatePublished - Feb 1994
Externally publishedYes

ASJC Scopus subject areas

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

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