Online citations, reference lists, and bibliographies.
← Back to Search

Finite‐element Modeling Of Trabecular Bone: Comparison With Mechanical Testing And Determination Of Tissue Modulus

A. J. Ladd, J. Kinney, D. L. Haupt, S. Goldstein
Published 1998 · Medicine

Cite This
Download PDF
Analyze on Scholarcy
We combined three techniques—mechanical testing, three‐dimensional imaging, and finite‐element modeling—to distinguish between the contributions of architecture and tissue modulus to mechanical function in human trabecular bone. The objectives of this study were 2‐fold. The first was to assess the accuracy of micromechanical modeling of trabecular bone using high‐contrast x‐ray images of the trabecular architecture. The second was to combine finite‐element calculations with mechanical testing to infer an average tissue modulus for the specimen. Specimens from five human L1 vertebrae were mechanically tested along the three anatomic axes. The specimens were then imaged by synchrotron x‐ray tomography, and the elastic moduli of each specimen were calculated from the tomographic image by finite‐element modeling. We found that 23‐μm tomographic images resolved sufficient structural detail such that the calculated anisotropy in the elastic modulus was within the uncertainties of the experimental measurements in all cases. The tissue modulus of each specimen was then estimated by comparing the calculated mean stiffness of the specimen, averaged over the three anatomical directions, with the experimental measurement. The absolute values of the experimental elastic constants could be fitted, again within the uncertainties of the experimental measure‐ments, by a single tissue modulus of 6.6 GPa, which was the average tissue modulus of the five specimens. These observations suggest that a combination of mechanical testing, three‐dimensional imaging, and finite‐element modeling might enable the physiological variations in tissue moduli to be determined as a function of age and gender.
This paper references
Non-invasive bone biopsy: a new method to analyse and display the three-dimensional structure of trabecular bone.
R. Mueller (1994)
Systematic and random errors in compression testing of trabecular bone
T. M. Keaveny (1997)
A 20-year perspective on the mechanical properties of trabecular bone.
T. M. Keaveny (1993)
Young's modulus of trabecular and cortical bone material: ultrasonic and microtensile measurements.
J. Rho (1993)
In vivo, three‐dimensional microscopy of trabecular bone
J. Kinney (1995)
Decreased trabecular width and increased trabecular spacing contribute to bone loss with aging.
R. Weinstein (1987)
A. J. Ladd (1997)
The microanatomy of trabecular bone loss in normal aging men and women.
J. Aaron (1987)
The relationship between the structural and orthogonal compressive properties of trabecular bone.
R. Goulet (1994)
The direct examination of three‐dimensional bone architecture in vitro by computed tomography
Lee A. Feldkamp (1989)
Age-related changes in vertebral trabecular bone architecture--assessed by a new method.
L. Mosekilde (1988)
Trabecular bone modulus and strength can depend on specimen geometry.
T. M. Keaveny (1993)
Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation.
J. Rho (1997)
Low Bone Mass May Not Be the Only Cause of Skeletal Fragility in Osteoporosis
R. Recker (1989)
A comparison of the fatigue behavior of human trabecular and cortical bone tissue.
K. Choi (1992)
A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stress.
S. J. Hollister (1994)
Age-related changes in trabecular width and spacing in human iliac crest biopsies.
R. Mellish (1989)
The elastic moduli of human subchondral, trabecular, and cortical bone tissue and the size-dependency of cortical bone modulus.
K. Choi (1990)
Relationships between surface, volume, and thickness of iliac trabecular bone in aging and in osteoporosis. Implications for the microanatomic and cellular mechanisms of bone loss.
A. Parfitt (1983)
Elastic constants of cellular structures
A. J. Ladd (1997)
The effect of specimen geometry on the mechanical behaviour of trabecular bone specimens.
F. Linde (1992)
An element-by-element solution algorithm for problems of structural and solid mechanics
T. J. Hughes (1983)
X-Ray Tomographic Microscopy (XTM) Using Synchrotron Radiation
J. Kinney (1992)
Atomic force microscope measurements of the hardness and elasticity of peritubular and intertubular human dentin.
J. Kinney (1996)
A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models.
B. van Rietbergen (1995)

This paper is referenced by
Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue.
Harun H. Bayraktar (2004)
Statistical osteoporosis models using composite finite elements: a parameter study.
U. Wolfram (2009)
Accuracy of MRI-based finite element assessment of distal tibia compared to mechanical testing.
C. Rajapakse (2018)
The Effect of Regional Variations of the Trabecular Bone Properties on the Compressive Strength of Human Vertebral Bodies
Do-Gyoon Kim (2007)
Prediction of Mechanical Properties of the Cancellous Bone of the Mandibular Condyle
L. V. van Ruijven (2003)
Finite element modeling to estimate the apparent material properties of trabecular bone
Sangbaek Park (2013)
Relationship between Microstructure, Material Distribution, and Mechanical Properties of Sheep Tibia during Fracture Healing Process
Jiazi Gao (2013)
Multi-level patient-specific modelling of the proximal femur. A promising tool to quantify the effect of osteoporosis treatment
Leen Lenaerts (2009)
Bicortical Screw Purchase at Upper Instrumented Vertebra (UIV) Can Cause UIV Fracture After Adult Spinal Deformity Surgery: A Finite Element Analysis Study
Seong-Hyun Wui (2019)
High-resolution MRI and micro-FE for the evaluation of changes in bone mechanical properties during longitudinal clinical trials: application to calcaneal bone in postmenopausal women after one year of idoxifene treatment.
B. van Rietbergen (2002)
The influence of boundary conditions and loading mode on high-resolution finite element-computed trabecular tissue properties.
G. Bevill (2009)
Advanced Structural Assessment of Bone Using CT and MRI
X. E. Guo (2010)
The Effects of Cod Bone Gelatin on Trabecular Microstructure and Mechanical Properties of Cancellous Bone
Renhan Huang (2015)
3.10 Finite Element Analysis in Bone Research: A Computational Method Relating Structure to Mechanical Function☆
D. Ruffoni (2017)
Simulations of mechanical adaptation and their relationship to stress bearing in skeletal tissue
Jens Hirschberg (2005)
Bone quantitative ultrasound
P. Laugier (2011)
Abnormal bone microarchitecture and evidence of osteoblast dysfunction in premenopausal women with idiopathic osteoporosis.
A. Cohen (2011)
The influence of microcomputed tomography threshold variations on the assessment of structural and mechanical trabecular bone properties.
T. Hara (2002)
Trabecular bone failure at the microstructural level
R. Mueller (2006)
Analyses of trabecular bone failure
Bert van Rietbergen (2006)
High-resolution three-dimensional-pQCT images can be an adequate basis for in-vivo μFE analysis of bone
W. Pistoia (2001)
Functional Micro-imaging at the Interface of Bone Mechanics and Biology
R. Mueller (2006)
Biomechanical alterations in intact osteoporotic spine due to synthetic augmentation: finite element investigation.
K. Higgins (2007)
Effects of different loading patterns on the trabecular bone morphology of the proximal femur using adaptive bone remodeling.
S. Mohammad Ali Banijamali (2015)
Effect of reconstruction parameters on cone beam CT trabecular bone microstructure quantification in sheep
Aso Muhammad Ali Muhammad (2020)
Assessment of Bone Quality using Finite Element Analysis Based upon Micro-CT Images
Y. Rhee (2009)
Estimation of distal radius failure load with micro-finite element analysis models based on three-dimensional peripheral quantitative computed tomography images.
W. Pistoia (2002)
Potential of in vivo MRI-based nonlinear finite-element analysis for the assessment of trabecular bone post-yield properties.
N. Zhang (2013)
Development of a synthetic trabecular bone graft utilizing a two phase glass-ceramic
Christopher Serna (2016)
If bone is the answer, then what is the question?
R. Huiskes (2000)
CT-based visualization and quantification of bone microstructure in vivo
G. H. Lenthe (2008)
Synchrotron CT imaging of lattice structures with engineered defects
B. Patterson (2020)
See more
Semantic Scholar Logo Some data provided by SemanticScholar