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

Z. Fan, J.Y. Rho, J.G. Swadener

Research output: Contribution to journalArticle

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.
Original languageEnglish
Pages (from-to)114-123
Number of pages10
JournalJournal of Materials Research
Volume19
Issue number1
DOIs
Publication statusPublished - 2004

Fingerprint

Nanoindentation
nanoindentation
indentation
Indentation
bones
Bone
Anisotropy
mechanical properties
Finite element method
Mechanical properties
anisotropy
plastic anisotropy
elastic anisotropy
mathematical models
simulation
Mathematical models
Plastics
trends
Monitoring
profiles

Keywords

  • bone
  • nanoindentation
  • elastic properties

Cite this

@article{77f43b4392e242f184c2c3e37d90f9a5,
title = "Three-dimensional finite element analysis of the effects of anisotropy on bone mechanical properties measured by nanoindentation",
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 = "bone, nanoindentation, elastic properties",
author = "Z. Fan and J.Y. Rho and J.G. Swadener",
note = "Copyright 2009 Elsevier B.V., All rights reserved.",
year = "2004",
doi = "10.1557/jmr.2004.19.1.114",
language = "English",
volume = "19",
pages = "114--123",
journal = "Journal of Materials Research",
issn = "0884-2914",
number = "1",

}

TY - JOUR

T1 - Three-dimensional finite element analysis of the effects of anisotropy on bone mechanical properties measured by nanoindentation

AU - Fan, Z.

AU - Rho, J.Y.

AU - Swadener, J.G.

N1 - Copyright 2009 Elsevier B.V., All rights reserved.

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

KW - bone

KW - nanoindentation

KW - elastic properties

UR - http://www.scopus.com/inward/record.url?scp=4444278171&partnerID=8YFLogxK

UR - http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8029611&fileId=S0884291400085915

U2 - 10.1557/jmr.2004.19.1.114

DO - 10.1557/jmr.2004.19.1.114

M3 - Article

AN - SCOPUS:4444278171

VL - 19

SP - 114

EP - 123

JO - Journal of Materials Research

JF - Journal of Materials Research

SN - 0884-2914

IS - 1

ER -