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Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue
Abstract
The ability to determine trabecular bone tissue elastic and failure properties has biological and clinical importance. To date, trabecular tissue yield strains remain unknown due to experimental difficulties, and elastic moduli studies have reported controversial results. We hypothesized that the elastic and tensile and compressive yield properties of trabecular tissue are similar to those of cortical tissue. Effective tissue modulus and yield strains were calibrated for cadaveric human femoral neck specimens taken from 11 donors, using a combination of apparent-level mechanical testing and specimen-specific, high-resolution, nonlinear finite element modeling. The trabecular tissue properties were then compared to measured elastic modulus and tensile yield strain of human femoral diaphyseal cortical bone specimens obtained from a similar cohort of 34 donors. Cortical tissue properties were obtained by statistically eliminating the effects of vascular porosity. Results indicated that mean elastic modulus was 10% lower (p<0.05) for the trabecular tissue (18.0+/-2.8 GPa) than for the cortical tissue (19.9+/-1.8 GPa), and the 0.2% offset tensile yield strain was 15% lower for the trabecular tissue (0.62+/-0.04% vs. 0.73+/-0.05%, p<0.001). The tensile-compressive yield strength asymmetry for the trabecular tissue, 0.62 on average, was similar to values reported in the literature for cortical bone. We conclude that while the elastic modulus and yield strains for trabecular tissue are just slightly lower than those of cortical tissue, because of the cumulative effect of these differences, tissue strength is about 25% greater for cortical bone.
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“Results from this approach place the elastic modulus of human trabecular tissue at approximately 10% less, tensile yield strain at 15% less, and tensile/compressive tissue strength at 25% less than that of cortical bone (142).”
From Bone Mechanical Properties in Healthy and Diseased States (2018) · cites this paper as [142]
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Investigation of bone inelastic response in interaction phenomena with dental implants
NATALI, A. N., Carniel, E. L., & Pavan, P. G. (2008) · Dental Materials · doi:10.1016/j.dental.2007.11.024 · Cited by 35
“Permanent strain phenomena can develop when heavy loading conditions are applied [35,36,14].”
BackgroundSimulation of vertebral trabecular bone loss using voxel finite element analysis
Donnell, P. M., Harrison, N. M., Liebschner, M. A. K., & McHugh, P. E. (2009) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2009.07.038 · Cited by 35
Falcinelli, C., Martino, A. C. D., Gizzi, A., Vairo, G., & Denaro, V. (2019) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2019.01.014 · Cited by 34
Zhai, X., Gao, J., Nie, Y., Guo, Z., Kedir, N., Claus, B., Sun, T., Fezzaa, K., Xiao, X., & Chen, W. W. (2019) · Journal of the Mechanics and Physics of Solids · doi:10.1016/j.jmps.2019.07.010 · Cited by 34
Terzini, M., Aldieri, A., Rinaudo, L., Osella, G., Audenino, A. L., & Bignardi, C. (2019) · Frontiers in Bioengineering and Biotechnology · doi:10.3389/fbioe.2019.00220 · Cited by 35
“element centroid, a Risk of Fracture (RF) was computed dividing the prevailing principal strain, evaluated comparing tensile and compressive principal strains, by the respective threshold value (Bayraktar et al., 2004).”
MethodZhai, X., Nauman, E. A., Moryl, D. L., Lycke, R., & Chen, W. W. (2019) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2019.103597 · Cited by 34
Liu, F., Liu, C., Zheng, B., et al. (2020) · Polymers · doi:10.3390/polym12010069 · Cited by 34
“It is noted that the compressive strength (i.e., 1.020 ± 0.122 MPa) of the SF/SPI/β-TCP scaffold is similar to that of the natural trabecular bone (1–7 MPa) [44].”
BackgroundInfluentialDubey, D. K., & Tomar, V. (2007) · Mechanics Research Communications · doi:10.1016/j.mechrescom.2007.10.011 · Cited by 33
“Micro-scale finite element models have been used to investigate the elastic (Van Rietbergen et al., 2000) and the yield properties of trabecular bone ( Bayraktar et al., 2004a ).”
BackgroundEdwards, W. B., Simonian, N., Troy, K. L., & Schnitzer, T. J. (2015) · Journal of Bone and Mineral Research · doi:10.1002/jbmr.2474 · Cited by 37
“with a postyield modulus that was 5% of the pre-yield modulus((31)); yield was defined using the quadratic Hill criterion for orthotropic materials.”
BackgroundGupta, A. K., Bayraktar, H. H., Fox, J. C., Keaveny, T. M., & Papadopoulos, P. (2006) · Computational Mechanics · doi:10.1007/s00466-006-0082-5 · Cited by 33
“Although trabecular bone is stronger in compression than in tension [18, 19 ], some of these studies have used the von Mises failure criterion that assumes equal compressive and tensile strength [14, 20].”
ResultSelf-citationvan Lenthe, H., & Müller, R. (2006) · Drug Discovery Today Technologies · doi:10.1016/j.ddtec.2006.06.001 · Cited by 34
Donaldson, F. E., Pankaj, P., Cooper, D. M. L., Thomas, C. D. L., Clement, J. G., & Simpson, H. (2011) · Proceedings of the Institution of Mechanical Engineers Part H Journal of Engineering in Medicine · doi:10.1177/2041303310395675 · Cited by 33
Tai, B. L., Kao, Y.-T., Payne, N., et al. (2018) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2018.08.004 · Cited by 33
Kok, J., Širka, A., Grassi, L., Raina, D. B., Tarasevičius, Š., Tägil, M., Lidgren, L., & Isaksson, H. (2019) · Clinical Biomechanics · doi:10.1016/j.clinbiomech.2019.03.008 · Cited by 33
Winsor, C., Li, X., Qasim, M., Henak, C. R., Pickhardt, P. J., Ploeg, H., & Viceconti, M. (2020) · Bone · doi:10.1016/j.bone.2020.115759 · Cited by 33
Kinzl, M., Böger, A., Zysset, P. K., et al. (2012) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2012.02.012 · Cited by 33
“This value was calculated from the back-calculated elastic modulus and a tissue yield strain of 1.1% (taken from Bayraktar et al., 2004).”
BackgroundMethodInfluentialOliviero, S., Lü, Y., Viceconti, M., et al. (2017) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2017.10.026 · Cited by 33
“We assumed that tibia fails when 2% of the nodes reach a critical strain level (adapted from (Pistoia et al., 2002)), which was asymmetric for compression ( 10,300 me) or tension (8000 me) (Bayraktar et al., 2004). respectively.”
BackgroundRamesh, N., Ratnayake, J. T., Moratti, S. C., et al. (2020) · International Journal of Biological Macromolecules · doi:10.1016/j.ijbiomac.2020.05.269 · Cited by 32
Gebert, A., Peters, J., Bishop, N. E., et al. (2008) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2008.04.007 · Cited by 32
Constrained topological optimization of a football helmet facemask based on brain response
Johnson, K. L., Chowdhury, S., Lawrimore, W. B., Mao, Y., Mehmani, A., Prabhu, R. K., Rush, G. A., & Horstemeyer, M. F. (2016) · Materials & Design · doi:10.1016/j.matdes.2016.08.064 · Cited by 32
Metadata
- Authors
- Bayraktar, H. H., Morgan, E. F., Niebur, G. L., Morris, G. E., Wong, E. K., & Keaveny, T. M.
- Affiliations
- University of California, Berkeley (US)
- University of Notre Dame (US)
- Corresponding author
- Bayraktar, Harun H.
- Venue
- Journal of Biomechanics
- Publisher
- Elsevier BV
- Published
- 2004-01
- Volume
- 37
- Issue
- 1
- Pages
- 27-35
- ISSN
- 0021-9290 (ISSN-L)
- OpenAlex
- W2089968363
- Cited by
- 1,142
- References
- 36
- Citations by year
- 2026: 60 · 2025: 62 · 2024: 68 · 2023: 51 · 2022: 55 · 2021: 74 · 2020: 90 · 2019: 75 · 2018: 67 · 2017: 56 · 2016: 68 · 2015: 59 · 2014: 62 · 2013: 50 · 2012: 49
- FWCI
- 13.37
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Biomechanics (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Institutes of Health
- University of California, San Francisco
- National Institute of Arthritis and Musculoskeletal and Skin Diseases (AR-43784, R01AR043784, AR41481)
- Topics
- Health Sciences › Medicine › Orthopedics and Sports Medicine › Bone health and osteoporosis research
- Physical Sciences › Engineering › Biomedical Engineering › Elasticity and Material Modeling
- Health Sciences › Medicine › Orthopedics and Sports Medicine › Bone fractures and treatments
- Keywords
- trabecular bone, cortical bone, femoral neck, elastic modulus, yield strain, tensile yield strength, compressive yield strength, finite element analysis
- MeSH terms
- Aged, Aged, 80 and over, Cadaver, Computer Simulation, Elasticity, Femur Head, Humans, Male, Middle Aged, Models, Biological, Sensitivity and Specificity, Statistics as Topic, Stress, Mechanical, Tensile Strength, Reproducibility of Results, Weight-Bearing, Compressive Strength, In Vitro Techniques
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