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Technical Briefs

Relationships of Viscosity With Contact Hardness and Modulus of Bone Matrix Measured by Nanoindentation

[+] Author and Article Information
Do-Gyoon Kim1

Division of Orthodontics, College of Dentistry, The Ohio State University, Columbus, OH 43210kim.2508@osu.edu

Sarandeep S. Huja, Hye Ri Lee, Boon Ching Tee, Sarah Hueni

Division of Orthodontics, College of Dentistry, The Ohio State University, Columbus, OH 43210

1

Corresponding author.

J Biomech Eng 132(2), 024502 (Jan 28, 2010) (5 pages) doi:10.1115/1.4000936 History: Received August 20, 2009; Revised October 12, 2009; Posted January 04, 2010; Published January 28, 2010; Online January 28, 2010

Creep is an active form of time-dependent viscoelastic deformation that occurs in bone tissue during daily life. Recent findings indicate bone mineralization, which is involved in determining the elastic and plastic properties of bone matrix, can also contribute in controlling its viscoelastic property. Nanoindentation viscosity was used as a direct measure for the capacity of a material to resist viscous-like flow under loading. The objectives of this study were to examine (1) whether the nanoindentation viscosity obtained using the traditional viscoelastic Voigt model can describe creep response of bone matrix and (2) how the nanoindentation viscosity is related to contact hardness and elastic modulus. The Voigt model accurately described the creep behavior of bone matrix (r2>0.96,p<0.001). The nanoindentation viscosity had strong relationships with nanoindentation contact hardness (r2=0.94,p<0.001) and modulus (r2=0.83,p<0.001) independent of tissue ages of osteonal bone matrix. The strong positive relationships of nanoindentation viscosity with contact hardness and modulus can be interpreted as increases in the mineral portion of bone matrix may limit the interfibril motion of collagen while enhancing the mechanical stability of bone. We suggest that previous nanoindentation results can be reanalyzed to characterize the viscoelastic creep using the Voigt model.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Osteons at the identical location under (a) brightfield light microscope and (b) fluorescent microscope. Newly formed osteons were identified by calcein labels.

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Figure 2

(a) Creep region in an indentation force-displacement curve during holding period and (b) a typical curve fitting of creep with Eq. 3 during a 30-s holding period.

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Figure 3

Nanoindentation viscosity (η) has a strong negative power-law correlation with normalized creep (creep/Pmax) for both groups

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Figure 4

(a) Correlations of nanoindentation viscosity (η) with contact hardness (H) and (b) nanoindentation modulus (E) of new (n=293) and old (n=276) osteon groups

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