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Yield Behavior of Bovine Cancellous Bone
Abstract
The compressive yield strain was measured for 61 specimens of bovine cancellous bone from three distal femora. There was no significant relationship (p = 0.08, R2 = 0.051) between yield strain and the degree of trabecular orientation. There was a significant positive correlation (p<0.00001, R2 = 0.319) between yield strain and structural (apparent) density and significant negative correlation (p<0.0025, R2 = 0.145) between yield strain and bone density. Yield strain correlated best with bone solid volume fraction Vv (εy = 0.592 + 1.446vv, R2 = 0.337). The quantity, yield strain, is highly dependent on specific definitions of the yield point and the point of zero strain. For this study the yield point was defined by a 0.0003 offset criterion, and the point of zero strain was defined as the point where the tangent at 15 percent of yield crosses zero. The results using these definitions were compared with results using yield strain values determined by other definitions of the yield point and zero strain. The correlations between yield strain and trabecular orientation, structural density and bone density changed very little for differing definitions of yield. The results suggest that yield strain in cancellous bone is isotropic or independent of textural anisotropy, so the yield behavior may be characterized by a maximum strain yield criterion. The results also suggest that the primary mode of yield in cancellous bone is buckling of the trabeculae.
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“Ultimate strains in trabecular bone also appear to be isotropic and range from 1.0% to 2.5% (97, 99), whereas yield strains range from 0.70% to 0.77% in compression and from 0.65% to 0.71% in tension (82).”
From Bone Mechanical Properties in Healthy and Diseased States (2018) · cites this paper as [99]
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Bone Mechanical Properties in Healthy and Diseased States
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“5% (97, 99), whereas yield strains range from 0.”
Biomechanics of Trabecular Bone
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HONG, J. (2004) · Journal of Orthopaedic Research® · doi:10.1016/s0736-0266(03)00220-1 · Cited by 11
Post-yield relaxation behavior of bovine cancellous bone
Burgers, T. A., Lakes, R. S., García-Rodríguez, S., Piller, G. R., & Ploeg, H.-L. (2009) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2009.08.005 · Cited by 10
“99% in bovine bone (Turner, 1989) and 1.”
Harmony, T. C. Y., Yusof, N., Ramalingam, S., et al. (2021) · Clinical Orthopaedics and Related Research · doi:10.1097/corr.0000000000001968 · Cited by 11
“Conventionally, the use of a Linear Variable Differential Transformer or an extensometer is recommended for more accurate strain evaluation [23, 45, 50].”
MethodBiomechanical aspects of bone repair
Lacroix, D. (2009) · Elsevier eBooks · doi:10.1533/9781845696610.1.106 · Cited by 9
Injectable bisphosphonates in the treatment of postmenopausal osteoporosis
Sartori, L., Adami, S., Filipponi, P., & Crepaldi, G. (2003) · Aging Clinical and Experimental Research · doi:10.1007/bf03324509 · Cited by 10
Toward Integrative Biomechanical Models of Osteochondral Tissues: A Multilayered Perspective
Silva, B., Domingos, M. A. N., Amado, S., Dias, J. R., Pascoal‐Faria, P., Maurício, A. C., & Alves, N. (2025) · Bioengineering · doi:10.3390/bioengineering12060649 · Cited by 9
“Similarly, the SB has been extensively modeled using linear elastic, elastoplastic, viscoelastic, and poroelastic frameworks [10,11,56,60], with increasing incorporation of microstructural and anisotropic features enabled by high-resolution imaging techniques such as micro-CT [30].”
InfluentialBuckling of adaptive elastic bone-plate: theoretical and numerical investigation
Ramtani, S., & Abdi, M. (2005) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-004-0056-5 · Cited by 9
Using bone densitometry to monitor therapy in treating osteoporosis: Pros and cons
Deal, C. L. (2001) · Current Rheumatology Reports · doi:10.1007/s11926-001-0023-4 · Cited by 9
Predicting the bending properties of long bones: Insights from an experimental mouse model
Peacock, S. J., Coats, B. R., Kirkland, J. K., Tanner, C. A., Garland, T., & Middleton, K. M. (2017) · American Journal of Physical Anthropology · doi:10.1002/ajpa.23363 · Cited by 8
“Raw load–displacement data were converted into flexure stress (r) and flexure strain (E) following Turner (1989) and Turner and Burr (2001), using the equations: r5 P s r 4 I E5 6 D d s2 where P is the load, s is the span length (6 mm), r is the radius of the bone in the direction of loading, I is…”
MethodXie, H., Zhang, X., Miao, F., et al. (2022) · Materials · doi:10.3390/ma15175931 · Cited by 7
“2% is considerably higher than the experimentally measured value, especially for brittle materials [36,37].”
BackgroundA nonlinear micromechanical model for progressive damage of vertebral trabecular bones
Massarwa, E., Aboudi, J., Galbusera, F., Wilke, H., & Haj-Ali, R. M. (2017) · Journal of mechanics of materials and structures · doi:10.2140/jomms.2017.12.407 · Cited by 7
Diagnosis of spine pseudoarthrosis based on the biomechanical properties of bone
Hipp, J. A., Mikhael, M. M., Reitman, C. A., Buser, Z., Patel, V. V., Chaput, C. D., Ghiselli, G., DeVine, J. G., Berven, S., Nunley, P. D., et al. (2024) · The Spine Journal · doi:10.1016/j.spinee.2024.08.007 · Cited by 5
Metadata
- Authors
- Turner, C. H.
- Affiliations
- Tulane University (US)
- Corresponding author
- Turner, C. H.
- Venue
- Journal of Biomechanical Engineering
- Publisher
- ASME International
- Published
- 1989-08-01
- Volume
- 111
- Issue
- 3
- Pages
- 256-260
- ISSN
- 0148-0731 (ISSN-L)
- 1528-8951
- OpenAlex
- W2082479185
- Cited by
- 127
- References
- 0
- Citations by year
- 2025: 4 · 2024: 1 · 2023: 2 · 2022: 4 · 2021: 3 · 2020: 1 · 2019: 2 · 2018: 4 · 2017: 3 · 2016: 1 · 2015: 4 · 2014: 3 · 2013: 2 · 2012: 5
- FWCI
- 1.64
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Biomechanical Engineering (publishedVersion)
- PubMed (publishedVersion)
- Funders
- U.S. Public Health Service
- National Institute of Dental and Craniofacial Research (DE 06859)
- Topics
- Health Sciences › Medicine › Orthopedics and Sports Medicine › Bone health and osteoporosis research
- Health Sciences › Medicine › Orthopedics and Sports Medicine › Bone fractures and treatments
- Physical Sciences › Engineering › Biomedical Engineering › Elasticity and Material Modeling
- Keywords
- trabecular bone, yield strain, trabecular orientation, bone mineral density, solid volume fraction, yield criterion, distal femur, bovine bone
- MeSH terms
- Animals, Bone and Bones, Cattle, Compliance, Densitometry, Femur, Models, Biological, Stress, Mechanical
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