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Three-dimensional finite element analysis of the effects of anisotropy on bone mechanical properties measured by nanoindentation

Published online by Cambridge University Press:  03 March 2011

Z. Fan ,
J.Y. Rho  and
J.G. Swadener
Z. Fan*
Affiliation:
Department of Biomedical Engineering, University of Memphis, Memphis, Tennessee 38152
J.Y. Rho
Affiliation:
Department of Biomedical Engineering, University of Memphis, Memphis, Tennessee 38152
J.G. Swadener
Affiliation:
Los Alamos National Laboratory, Los Alamos, New Mexico 87545
*
a) Address all correspondence to this author. Present address: Zaifeng Fan, Orthopedic & Rehabilitation Engineering Center, Marquette University, Academic Support Facility 105, 735 N. 17th St., P.O. Box 1881, Milwaukee, WI 53201-1881. e-mail: zaifeng.fan@marquette.edu
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Abstract

A three-dimensional finite element analysis (FEA) model with elastic–plastic anisotropy was built to investigate the effects of anisotropy on nanoindentation measurements for cortical bone. The FEA model has demonstrated a capability to capture the cortical bone material response under the indentation process. By comparison with the contact area obtained from monitoring the contact profile in FEA simulations, the Oliver–Pharr method was found to underpredict or overpredict the contact area due to the effects of anisotropy. The amount of error (less than 10% for cortical bone) depended on the indentation orientation. The indentation modulus results obtained from FEA simulations at different surface orientations showed a trend similar to experimental results and were also similar to moduli calculated from a mathematical model. The Oliver–Pharr method has been shown to be useful for providing first-order approximations in the analysis of anisotropic mechanical properties of cortical bone, although the indentation modulus is influenced by anisotropy.

Keywords

BoneNanoindentationElastic properties
Type
Articles
Information
Journal of Materials Research , Volume 19 , Issue 1 , January 2004 , pp. 114 - 123
Copyright
Copyright © Materials Research Society 2004

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