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Stiffness of compact bone: Effects of porosity and density
Abstract
Stiffness of compact bone is found to be highly and nonlinearly dependent on its porosity, its complement, bone volume fraction and apparent density. Elastic modulus decreases as a power (0.55) of increasing porosity and increases both as a power of increasing bone tissue volume (10.92) and increasing apparent density (7.4). These data indicate that small changes in the amount or density of compact bone tissue exert a more pronounced influence on its stiffness than would similar changes in trabecular bone.
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“Cortical porosity is negatively correlated with Young’s modulus (42), compressive ultimate stress (43), and fracture toughness (44).”
From Bone Mechanical Properties in Healthy and Diseased States (2018) · cites this paper as [42]
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Metadata
- Authors
- Schaffler, M. B., & Burr, D. B.
- Affiliations
- West Virginia University (US)
- Corresponding author
- Schaffler, Mitchell B.
- Venue
- Journal of Biomechanics
- Publisher
- Elsevier BV
- Published
- 1988-01
- Volume
- 21
- Issue
- 1
- Pages
- 13-16
- ISSN
- 0021-9290 (ISSN-L)
- OpenAlex
- W2027469592
- Cited by
- 652
- References
- 14
- Citations by year
- 2026: 11 · 2025: 18 · 2024: 25 · 2023: 19 · 2022: 23 · 2021: 25 · 2020: 23 · 2019: 33 · 2018: 29 · 2017: 23 · 2016: 30 · 2015: 28 · 2014: 36 · 2013: 32 · 2012: 23
- FWCI
- 6.80
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Biomechanics (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Institutes of Health (2r01am027127-05a1)
- National Center for Research Resources (S07-RR0-443-18)
- 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 › Surgery › Orthopaedic implants and arthroplasty
- Keywords
- cortical bone, bone stiffness, porosity, bone volume fraction, apparent density, elastic modulus, nonlinear dependence, trabecular bone, bone
- MeSH terms
- Animals, Biomechanical Phenomena, Bone and Bones, Cattle, Densitometry, Male, Minerals
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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