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The Impact Of Boundary Conditions And Mesh Size On The Accuracy Of Cancellous Bone Tissue Modulus Determination Using Large-scale Finite-element Modeling

C. Jacobs, B. R. Davis, C. J. Rieger, J. J. Francis, M. Saad, D. Fyhrie
Published 1999 · Engineering

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Abstract The apparent properties of cancellous bone are determined by a combination of both hard tissue properties and microstructural organization. A method is desired to extract the underlying hard tissue properties from simple mechanical tests, free from the complications of microstructure. It has been suggested that microCT voxel-based large-scale finite element models could be employed to accomplish this goal (van Rietbergen et al., 1995, Journal of Biomechanics, 28, 69–81). This approach has recently been implemented and it is becoming increasingly popular as finite element models increase in size and sophistication (Fyhrie et al., 1997, Proceedings of the 43rd Annual Meeting of the Orthopaedic Research Society, San Francisco, CA, p. 815; van Rietbergen et al., 1997, Proceedings of the 43rd Annual Meeting of the Orthopaedic Research Society, San Francisco, CA, p. 62). However, no direct quantitative measurements of the accuracy of this method applied to porous structures such as cancellous bone have been made. This project demonstrates the feasibility of this approach by quantifying its best-case accuracy in determining the trabecular hard tissue modulus of analogues fabricated of a material with known material properties determined independently by direct testing. In addition we were able to assess the impact of mesh size and boundary conditions on accuracy. We found that the assumption of a frictionless boundary condition in the parallel plate compression loading configuration was a significant source of error that could be overcome with the use of rigid end-caps similar to those used by Keaveny et al. (1997 Journal of Orthopaedic Research, 15(1), 101–110). In conclusion, we found that this approach is an effective method for determining the average trabecular hard tissue properties of human cancellous bone with an expected practical accuracy level better than 5%.
This paper references
10.1016/0021-9290(94)90019-1
A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stress.
S. J. Hollister (1994)
10.1016/0141-5425(92)90100-Y
Three-dimensional finite element modelling of bone: effects of element size.
J. Keyak (1992)
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis
Thomas J. R. Hughes (1987)
10.1016/0021-9290(93)90059-N
Trabecular bone modulus and strength can depend on specimen geometry.
T. M. Keaveny (1993)
10.1016/0141-5425(90)90022-F
Automated three-dimensional finite element modelling of bone: a new method.
J. Keyak (1990)
10.1016/0021-9290(95)80008-5
A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models.
B. van Rietbergen (1995)
10.1016/0021-9290(90)90003-L
The elastic moduli of human subchondral, trabecular, and cortical bone tissue and the size-dependency of cortical bone modulus.
K. Choi (1990)
10.1002/JBMR.5650040103
The direct examination of three‐dimensional bone architecture in vitro by computed tomography
Lee A. Feldkamp (1989)
10.1002/JOR.1100150115
Systematic and random errors in compression testing of trabecular bone
T. M. Keaveny (1997)
10.1016/0045-7825(83)90115-9
An element-by-element solution algorithm for problems of structural and solid mechanics
T. J. Hughes (1983)
10.1016/0021-9290(94)90014-0
The relationship between the structural and orthogonal compressive properties of trabecular bone.
R. Goulet (1994)
10.1016/0021-9290(93)90057-L
Direct calculation of the surface-to-volume ratio for human cancellous bone.
D. Fyhrie (1993)
A fast solving method for large-scale FE-models generated from computer images, based on a row-by-row matrix-vector multiplication scheme
V. Rietbergen (1994)
10.1016/0021-9290(87)90023-6
The mechanical properties of trabecular bone: dependence on anatomic location and function.
S. Goldstein (1987)
Solving Large-scale Problems in Mechanics
M. Papadrakakis (1993)



This paper is referenced by
10.1016/j.jmbbm.2009.12.003
Local and regional mechanical characterisation of a collagen-glycosaminoglycan scaffold using high-resolution finite element analysis.
A. Stops (2010)
10.1115/1.1835346
Effect of microcomputed tomography voxel size on the finite element model accuracy for human cancellous bone.
Y. Yeni (2005)
10.1115/1.2800865
Convergence behavior of high-resolution finite element models of trabecular bone.
G. Niebur (1999)
10.1007/s11517-011-0833-0
Mechanical and microarchitectural analyses of cancellous bone through experiment and computer simulation
A. Syahrom (2011)
10.1007/s10439-006-9239-9
Vertebral Osteoporosis and Trabecular Bone Quality
P. M. Donnell (2006)
10.1080/13588260701441142
Identification of the spongy bone mechanical behavior under compression loads: numerical simulation versus experimental results
F. Chaari (2007)
10.1016/S8756-3282(02)00693-2
Cancellous bone mechanical properties from normals and patients with hip fractures differ on the structure level, not on the bone hard tissue level.
J. Homminga (2002)
10.1002/0471732877.EMD149
Joints, Biomechanics of
G. Papaioannou (2006)
10.1023/A:1026748913553
Review Micromechanical testing of bone trabeculae - potentials and limitations
E. Lucchinetti (2000)
10.18297/ETD/1612
Animal experiment (rabbit) to demonstrate changes in trabecular bone mechanical properties over time using finite element analysis.
Shuo Yang (2006)
10.1016/S0736-0266(01)00012-2
A decreased subchondral trabecular bone tissue elastic modulus is associated with pre‐arthritic cartilage damage
J. S. Day (2001)
10.1016/B978-008043951-8/50014-X
Identification of Boundary Conditions by Iterative Analyses of Suitably Refined Subdomains at Biomaterials Interfaces
P. Vena (2002)
Hierarchical analysis and multiscale modelling of cellular structures: from meta materials to bone structure.
R. Oftadeh (2016)
10.1007/s10396-014-0608-y
Elastic modulus of the femoral trochanteric region measured by scanning acoustic microscopy in elderly women
Hiroyuki Matsuki (2014)
10.1080/10255840290032180
A Voxel-based Formulation for Contact Finite Element Analysis
N. Grosland (2002)
10.1115/IMECE2005-82000
Computer-Aided Tissue Engineering in Whole Bone Replacement Treatment
M. Wettergreen (2005)
10.1115/1.2768377
Effects of intracortical porosity on fracture toughness in aging human bone: a microCT-based cohesive finite element study.
A. Ural (2007)
10.1007/8415_2011_93
Advancements in Spine FE Mesh Development: Toward Patient-Specific Models
Nicole A. Kallemeyn (2011)
10.1007/978-1-61779-764-4_1
Computer-aided tissue engineering: benefiting from the control over scaffold micro-architecture.
Ahmad M Tarawneh (2012)
10.1016/S0021-9290(03)00257-4
Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue.
Harun H. Bayraktar (2004)
10.1007/1-4020-5370-3_554
Parameterized orthotropic cellular microstructures as mechanical models of cancellous bone
P. Kowalczyk (2006)
10.1080/1025584031000149089
Finite Element Modeling of Trabecular Bone Damage
V. Kosmopoulos (2003)
10.1115/1.2133770
Evaluation of filler materials used for uniform load distribution at boundaries during structural biomechanical testing of whole vertebrae.
Do-Gyoon Kim (2006)
Development of a synthetic trabecular bone graft utilizing a two phase glass-ceramic
Christopher Serna (2016)
10.1114/1.1535414
Adaptations of Trabecular Bone to Low Magnitude Vibrations Result in More Uniform Stress and Strain Under Load
S. Judex (2004)
10.1023/A:1020852108109
Micromechanical Analysis of the Trabecular Bone Stress State at the Interface with Metallic Biomedical Devices*
P. Vena (2002)
10.1100/2012/827196
The Relationship between Trabecular Bone Structure Modeling Methods and the Elastic Modulus as Calculated by FEM
Tomasz Topoliński (2012)
Caractérisation ultrasonore et vibroacoustique de la santé mécanique des os humains
E. Ogam (2007)
10.1146/ANNUREV.BIOENG.3.1.307
Biomechanics of trabecular bone.
T. M. Keaveny (2001)
Experimental and numerical studies
Fahmi Chaari (2009)
10.1115/1.4000192
Scale and boundary conditions effects on the apparent elastic moduli of trabecular bone modeled as a periodic cellular solid.
C. Wang (2009)
10.1016/j.bone.2008.06.008
Tissue modulus calculated from beam theory is biased by bone size and geometry: implications for the use of three-point bending tests to determine bone tissue modulus.
G. H. van Lenthe (2008)
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