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

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    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
    Number of pages10
    JournalBiomechanics and Modeling in Mechanobiology
    Issue number6
    Early online date18 Apr 2016
    Publication statusPublished - 1 Dec 2016


    • bovine trabecular bone
    • BV/TV
    • creep
    • linear viscoelastic
    • relaxation
    • time-dependent
    • RCUK
    • EPSRC
    • EP/K036939/1


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