title: Linear viscoelasticity - bone volume fraction relationships of bovine trabecular bone.
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 ([Formula: see text]) at loads corresponding to physiological strain level of 2000 [Formula: see text]. 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 ([Formula: see text]) 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.
authors.affiliation: School of Engineering, The University of Edinburgh, The King's Buildings, Edinburgh, EH9 3DW, UK. k.manda@ed.ac.uk.
authors.forename: Krishnagoud
authors.initials: K
authors.lastname: Manda
authors.affiliation: School of Engineering, The University of Edinburgh, The King's Buildings, Edinburgh, EH9 3DW, UK.
authors.forename: Shuqiao
authors.initials: S
authors.lastname: Xie
authors.affiliation: Department of Orthopaedics, The University of Edinburgh, Chancellors building, Edinburgh, EH16 4SB, UK.
authors.forename: Robert J
authors.initials: RJ
authors.lastname: Wallace
authors.affiliation: School of Engineering, The University of Edinburgh, The King's Buildings, Edinburgh, EH9 3DW, UK.
authors.forename: Francesc
authors.initials: F
authors.lastname: Levrero-Florencio
authors.affiliation: School of Engineering, The University of Edinburgh, The King's Buildings, Edinburgh, EH9 3DW, UK.
authors.forename: Pankaj
authors.initials: P
authors.lastname: Pankaj
mesh_terms: D000818:Animals; D000071556:Cancellous Bone / Q000502:physiology*; D002417:Cattle; D004548:Elasticity; D005260:Female; D008954:Models, Biological; D012212:Rheology; D013997:Time Factors; D014783:Viscosity
keywords: BV/TV; Bovine trabecular bone; Creep; Linear viscoelastic; Relaxation; Time-dependent