scholarly journals Erratum: “Elastic Anisotropy of Human Cortical Bone Secondary Osteons Measured by Nanoindentation” [Journal of Biomechanical Engineering, 2009, 131(2), p. 021001]

2009 ◽  
Vol 131 (11) ◽  
Author(s):  
Giampaolo Franzoso ◽  
Philippe K. Zysset
Keyword(s):  
Cortical Bone ◽  
Elastic Anisotropy ◽  
Human Cortical Bone ◽  
Biomechanical Engineering ◽  
Secondary Osteons

Elastic Anisotropy of Human Cortical Bone Secondary Osteons Measured by Nanoindentation

2008 ◽  
Vol 131 (2) ◽  
Author(s):  
Giampaolo Franzoso ◽  
Philippe K. Zysset
Keyword(s):  
Cortical Bone ◽  
Elastic Properties ◽  
Elastic Constants ◽  
Elastic Anisotropy ◽  
Elastic Model ◽  
Indentation Modulus ◽  
Lamellar Bone ◽  
Macroscopic Level ◽  
Human Cortical Bone ◽  
Secondary Osteons

The identification of anisotropic elastic properties of lamellar bone based on nanoindentation data is an open problem. Therefore, the purpose of this study was to develop a method to estimate the orthotropic elastic constants of human cortical bone secondary osteons using nanoindentation in two orthogonal directions. Since the indentation modulus depends on all elastic constants and, for anisotropic materials, also on the indentation direction, a theoretical model quantifying the indentation modulus from the stiffness tensor of a given material was implemented numerically (Swadener and Pharr, 2001, “Indentation of Elastically Anisotropic Half-Spaces by Cones and Parabolae of Revolution,” Philos. Mag. A, 81(2), pp. 447–466). Nanoindentation was performed on 22 osteons of the distal femoral shaft: A new holding system was designed in order to indent the same osteon in two orthogonal directions. To interpret the experimental results and identify orthotropic elastic constants, an inverse procedure was developed by using a fabric-based elastic model for lamellar bone. The experimental indentation moduli were found to vary with the indentation direction and showed a marked anisotropy. The estimated elastic constants showed different degrees of anisotropy among secondary osteons of the same bone and these degrees of anisotropy were also found to be different than the one of cortical bone at the macroscopic level. Using the log-Euclidean norm, the relative distance between the compliance tensors of the estimated mean osteon and of cortical bone at the macroscopic level was 9.69%: Secondary osteons appeared stiffer in their axial and circumferential material directions, and with a greater bulk modulus than cortical bone, which is attributed to the absence of vascular porosity in osteonal properties. The proposed method is suitable for identification of elastic constants from nanoindentation experiments and could be adapted to other (bio)materials, for which it is possible to describe elastic properties using a fabric-based model.

The relative influence of apatite crystal orientations and intracortical porosity on the elastic anisotropy of human cortical bone

2012 ◽  
Vol 45 (16) ◽  
pp. 2743-2749 ◽  
Author(s):  
Andrew P. Baumann ◽  
Justin M. Deuerling ◽  
David J. Rudy ◽  
Glen L. Niebur ◽  
Ryan K. Roeder
Keyword(s):  
Cortical Bone ◽  
Elastic Anisotropy ◽  
Relative Influence ◽  
Apatite Crystal ◽  
Human Cortical Bone ◽  
Crystal Orientations

Imaging the 3D structure of secondary osteons in human cortical bone using phase-retrieval tomography

2011 ◽  
Vol 56 (16) ◽  
pp. 5265-5274 ◽  
Author(s):  
B D Arhatari ◽  
D M L Cooper ◽  
C D L Thomas ◽  
J G Clement ◽  
A G Peele
Keyword(s):  
Cortical Bone ◽  
Phase Retrieval ◽  
3D Structure ◽  
Human Cortical Bone ◽  
Secondary Osteons

Fracture resistance of human cortical bone across multiple length-scales at physiological strain rates

Biomaterials ◽  
2014 ◽  
Vol 35 (21) ◽  
pp. 5472-5481 ◽  
Author(s):  
Elizabeth A. Zimmermann ◽  
Bernd Gludovatz ◽  
Eric Schaible ◽  
Björn Busse ◽  
Robert O. Ritchie
Keyword(s):  
Cortical Bone ◽  
Fracture Resistance ◽  
Strain Rates ◽  
Physiological Strain ◽  
Length Scales ◽  
Human Cortical Bone ◽  
Multiple Length Scales
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