The Effect Of The Density-modulus Relationship Selected To Apply Material Properties In A Finite Element Model Of Long Bone.
R. Austman, J. Milner, D. Holdsworth, C. Dunning
Published 2008 · Medicine, Engineering
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Material property assignment is a critical step in developing subject-specific finite element models of bone. Inhomogeneous material properties are often applied using an equation relating density and elastic modulus, with the density information coming from CT scans of the bone. Very few previous studies have investigated which density-elastic modulus relationships from the literature are most suitable for application in long bone. No such studies have been completed for the ulna. The purpose of this study was to investigate six such density-modulus relationships and compare the results to experimental strains from eight cadaveric ulnae. Subject-specific finite element models were developed for each bone using micro-CT scans. Six density-modulus equations were trialed in each bone, resulting in a total of 48 models. Data from a previously completed experimental study in which each bone was instrumented with twelve strain gauges were used for comparison. Although the relationship that best matched experimental strains was somewhat specimen and location dependent, there were two relations which consistently matched the experimental strains most closely. One of these under-estimated and one over-estimated the experimental strain values, by averages of 15% and 31%, respectively. The results of this study suggest that the ideal relationship for the ulna may lie somewhere in between these two relations.
This paper references
Validation of a finite element model of the human metacarpal.
D. S. Barker (2005)
Correlations between orthogonal mechanical properties and density of trabecular bone: use of different densitometric measures.
J. Keyak (1994)
Estimation of mechanical properties of cortical bone by computed tomography.
S. Snyder (1991)
Mechanical testing of bone and the bone-implant interface
Y. An (1999)
Strain gage application on compact bone.
T. Wright (1979)
Comparison of isotropic and orthotropic material property assignments on femoral finite element models under two loading conditions.
V. Báča (2007)
Comparison of an inhomogeneous orthotropic and isotropic material models used for FE analyses.
V. Báča (2008)
Tetrahedral versus hexahedral finite elements in numerical modelling of the proximal femur.
A. Ramos (2006)
Mechanical properties of metaphyseal bone in the proximal femur.
J. C. Lotz (1991)
Sensitivity of periprosthetic stress-shielding to load and the bone density-modulus relationship in subject-specific finite element models.
H. Weinans (2000)
Mechanical properties of trabecular bone from the proximal femur: a quantitative CT study.
J. C. Lotz (1990)
Subject-specific finite element models can accurately predict strain levels in long bones.
E. Schileo (2007)
The effect of distal ulnar implant stem material and length on bone strains.
R. Austman (2007)
The material mapping strategy influences the accuracy of CT-based finite element models of bones: an evaluation against experimental measurements.
F. Taddei (2007)
Trabecular bone modulus-density relationships depend on anatomic site.
E. Morgan (2003)
Design and implementation of an instrumented ulnar head prosthesis to measure loads in vitro.
K. Gordon (2006)
The compressive behavior of bone as a two-phase porous structure.
D. Carter (1977)
A technique for the in vitro measurement of principal strains in the human tibia.
J. Finlay (1982)
Predicting the compressive mechanical behavior of bone.
T. Keller (1994)
Critical evaluation of known bone material properties to realize anisotropic FE-simulation of the proximal femur.
D. Wirtz (2000)
Mathematical relationships between bone density and mechanical properties: a literature review.
B. Helgason (2008)
Methods of Evaluation for Bone Dimensions, Densities, Contents, Morphology, and Structures
Y. An (1999)
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Andre Lutz (2010)
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Sikai Liu (2018)
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Brian Garven (2014)
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A. Hölzer (2013)
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António Ramos (2014)
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G. Langohr (2015)
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