Linear viscoelasticity - bone volume fraction relationships of bovine trabecular bone

Krishnagoud Manda*, Shuqiao Xie, Robert J. Wallace, Francesc Levrero-Florencio, Pankaj Pankaj

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)
214 Downloads (Pure)


Trabecular bone has been previously recognized as time-dependent (viscoelastic) material, but the relationships of its viscoelastic behaviour with bone volume fraction (BV/TV) have not been investigated so far. Therefore, the aim of the present study was to quantify the time-dependent viscoelastic behaviour of trabecular bone and relate it to BV/TV. Uniaxial compressive creep experiments were performed on cylindrical bovine trabecular bone samples (n=13) at loads corresponding to physiological strain level of 2000 μ ε. We assumed that the bone behaves in a linear viscoelastic manner at this low strain level and the corresponding linear viscoelastic parameters were estimated by fitting a generalized Kelvin–Voigt rheological model to the experimental creep strain response. Strong and significant power law relationships (r2=0.73,p<0.001) were found between time-dependent creep compliance function and BV/TV of the bone. These BV/TV-based material properties can be used in finite element models involving trabecular bone to predict time-dependent response. For users’ convenience, the creep compliance functions were also converted to relaxation functions by using numerical interconversion methods and similar power law relationships were reported between time-dependent relaxation modulus function and BV/TV.

Original languageEnglish
Pages (from-to)1631-1640
JournalBiomechanics and Modeling in Mechanobiology
Issue number6
Publication statusPublished - 18 Apr 2016


  • Bovine trabecular bone
  • BV/TV
  • Creep
  • Linear viscoelastic
  • Relaxation
  • Time-dependent

ASJC Scopus subject areas

  • Biotechnology
  • Modelling and Simulation
  • Mechanical Engineering


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