Local strain and damage mapping in single trabeculae during three-point bending tests
Open accessAbstract
The use of bone mineral density as a surrogate to diagnose bone fracture risk in individuals is of limited value. However, there is growing evidence that information on trabecular microarchitecture can improve the assessment of fracture risk. One current strategy is to exploit finite element analysis (FEA) applied to 3D image data of several mm-sized trabecular bone structures obtained from non-invasive imaging modalities for the prediction of apparent mechanical properties. However, there is a lack of FE damage models, based on solid experimental facts, which are needed to validate such approaches and to provide criteria marking elastic-plastic deformation transitions as well as microdamage initiation and accumulation. In this communication, we present a strategy that could elegantly lead to future damage models for FEA: direct measurements of local strains involved in microdamage initiation and plastic deformation in single trabeculae. We use digital image correlation to link stress whitening in bone, reported to be correlated to microdamage, to quantitative local strain values. Our results show that the whitening zones, i.e. damage formation, in the presented loading case of a three-point bending test correlate best with areas of elevated tensile strains oriented parallel to the long axis of the samples. The average local strains along this axis were determined to be (1.6±0.9)% at whitening onset and (12±4)% just prior to failure. Overall, our data suggest that damage initiation in trabecular bone is asymmetric in tension and compression, with failure originating and propagating over a large range of tensile strains.
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Microdamage initiation occurs at tissue-level strains of approximately 1.6% and differs in compression versus tension.
“Measurements of tissue-level deformations via digital image correlation applied to bending tests of single trabeculae indicate that microdamage initiation occurs at tissue-level strains of approximately 1.6% and differs in compression versus tension (108); however, estimates from finite element (FE) models suggest that the threshold for damage initiation is lower (107).”
From Bone Mechanical Properties in Healthy and Diseased States (2018) · cites this paper as [108]
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- Authors
- Jungmann, R., Szabo, M. E., Schitter, G., Yue-Sing Tang, R., Vashishth, D., Hansma, P. K., & Thurner, P. J.
- Affiliations
- University of California, Santa Barbara (US)
- TU Wien (AT)
- Rensselaer Polytechnic Institute (US)
- Corresponding author
- Thurner, P.J.
- Venue
- Journal of the Mechanical Behavior of Biomedical Materials
- Publisher
- Elsevier BV
- Published
- 2011-05
- Volume
- 4
- Issue
- 4
- Pages
- 523-534
- ISSN
- 1751-6161 (ISSN-L)
- PMC
- PMC3461966
- OpenAlex
- W2007227307
- Cited by
- 57
- References
- 53
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 2 · 2023: 3 · 2022: 5 · 2021: 4 · 2020: 8 · 2019: 5 · 2018: 5 · 2016: 4 · 2015: 5 · 2014: 2 · 2013: 6 · 2012: 5
- FWCI
- 3.53
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials (publishedVersion)
- PubMed (publishedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- ePrints Soton (University of Southampton) (submittedVersion)
- Funders
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (111445)
- National Institute of General Medical Sciences (R01GM065354)
- National Institute of Arthritis and Musculoskeletal and Skin Diseases (AR49635, R01AR049635)
- Topics
- Health Sciences › Medicine › Orthopedics and Sports Medicine › Bone health and osteoporosis research
- Health Sciences › Medicine › Epidemiology › Bone fractures and treatments
- Physical Sciences › Engineering › Mechanics of Materials › Fatigue and fracture mechanics
- Keywords
- trabecular bone, microdamage, local strain, three-point bending, stress whitening, digital image correlation, fracture risk assessment, damage initiation, tensile strain, plastic deformation, trabecular bone microarchitecture
- MeSH terms
- Animals, Bone and Bones, Cattle, Materials Testing, Photography, Plastics, Stress, Mechanical, Finite Element Analysis, Imaging, Three-Dimensional, Optical Phenomena
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