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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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Zhou, Y., Gong, C., Lewis, G. S., et al. (2019) · Extreme Mechanics Letters · doi:10.1016/j.eml.2019.100614 · Cited by 24
Kwak, D.-K., Bang, S.-H., Kim, W., Lee, S., Lee, S., & Yoo, J. (2021) · PLoS ONE · doi:10.1371/journal.pone.0253862 · Cited by 24
Algorithms for a strain‐based plasticity criterion for bone
Pankaj, P., & Donaldson, F. E. (2012) · International Journal for Numerical Methods in Biomedical Engineering · doi:10.1002/cnm.2491 · Cited by 24
Caouette, C., Rauch, F., Villemure, I., et al. (2014) · PubMed · Cited by 24
Bone remodelling around a cementless glenoid component
Suárez, D. R., Weinans, H., & van Keulen, F. (2011) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-011-0360-9 · Cited by 25
Femoral head necrosis: A finite element analysis of common and novel surgical techniques
Cilla, M., Checa, S., Preininger, B., Winkler, T., Perka, C., Duda, G. N., & Pumberger, M. (2017) · Clinical Biomechanics · doi:10.1016/j.clinbiomech.2017.07.005 · Cited by 24
“…1999): ROF= ε/ εlim Where ε is the maximum absolute principal strain at each element of the femur (either compressive or tensile) and εlim is the corresponding ultimate strain (ultimate compressive strain: 0.0104 and ultimate tensile strain: 0.0073) (Bayraktar et al., 2004; Ford et al., 1996).”
InfluentialPalanca, M., Bròdano, G. B., & Cristofolini, L. (2018) · Journal of Biomechanical Engineering · doi:10.1115/1.4040587 · Cited by 24
Al‐Dirini, R. M. A., Martelli, S., O’Rourke, D., Huff, D. N., Ju, Z., Clement, J. G., Besier, T. F., & Taylor, M. (2018) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2018.11.013 · Cited by 24
“Also, the yield strain for bone, 7,000 με (Bayraktar et al., 2004), was used as a threshold for identifying areas of potential bone damage.”
MethodLee, J., Lee, J., Lee, J.-W., et al. (2013) · Journal of Oral and Maxillofacial Surgery · doi:10.1016/j.joms.2013.10.003 · Cited by 24
“1) Biomechanically stability was indicated when the maximum VMS of cortical bone was lower than 108 MPa, the maximum yield strength of cortical bone reported by Bayraktar et al.27 2) The maximum VMS of cancellous bone also was taken into consideration when the first criterion failed to delineate the comparison.”
BackgroundCheng, Y., Jiang, C., & Lin, D. (2018) · Structural and Multidisciplinary Optimization · doi:10.1007/s00158-018-2104-2 · Cited by 23
“The experimental data for human trabecular bone specimens (Bayraktar et al. 2004) shows that the maximum respective tensile and compressive yield stresses for cancellous bone are 84.9 ± 11.2 MPa and 135.3 ± 34.3MPa.”
BackgroundInfluentialZheng, L., Wong, D. W., Chen, X., et al. (2021) · Computer Methods in Biomechanics & Biomedical Engineering · doi:10.1080/10255842.2021.1964488 · Cited by 23
“The yield stress of the titanium alloy was 250MPa approximated from two studies (Namjoshi et al. 2002; Edwards and Ramulu 2014).”
BackgroundInfluentialBori, E., Armaroli, F., & Innocenti, B. (2021) · Computer Methods and Programs in Biomedicine · doi:10.1016/j.cmpb.2021.106499 · Cited by 23
Demir, O., Uslan, İ., Büyük, M., & Salamci, M. U. (2023) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2023.106207 · Cited by 23
Schwiedrzik, J. J., & Zysset, P. K. (2013) · Computer Methods in Biomechanics & Biomedical Engineering · doi:10.1080/10255842.2013.818665 · Cited by 23
The effects of musculoskeletal loading regimes on numerical evaluations of acetabular component
Mukherjee, K., & Gupta, S. (2016) · Proceedings of the Institution of Mechanical Engineers Part H Journal of Engineering in Medicine · doi:10.1177/0954411916661368 · Cited by 23
“Moreover, bone failure is often associated with much higher strain values of 7000– 10,000 me.(46,76) Therefore, there was hardly any risk of cortical bone failure owing to the increase in its strains during immediate post-operative condition.”
BackgroundFrank, M., Marx, D., Nedelkovski, V., Fischer, J.-T., Pahr, D. H., & Thurner, P. J. (2018) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2018.07.039 · Cited by 23
Comini, F., Palanca, M., Cristofolini, L., et al. (2019) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2019.01.041 · Cited by 23
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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