Linear viscoelasticity - bone volume fraction relationships of bovine trabecular bone

K. Manda, S. Xie, R. Wallace, F. L. Florencio, P. Pankaj

Research output: Contribution to journalArticlepeer-review

Abstract

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 με . 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
Volume15
Issue number6
Early online date18 Apr 2016
DOIs
Publication statusE-pub ahead of print - 18 Apr 2016

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