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Empirical relationships between bone density and ultimate strength: A literature review

Empirical relationships between bone density and ultimate strength: A literature review

Title: Empirical relationships between bone density and ultimate strength: A literature review
Author: Fleps, Ingmar
Bahaloo, Hassan   orcid.org/0000-0002-8482-145X
Zysset, Philippe K.
Ferguson, Stephen J.
Pálsson, Halldór
Helgason, Benedikt
Date: 2020-10
Language: English
Scope: 103866
University/Institute: Háskóli Íslands
University of Iceland
School: Verkfræði- og náttúruvísindasvið (HÍ)
School of Engineering and Natural Sciences (UI)
Department: Iðnaðarverkfræði-, vélaverkfræði- og tölvunarfræðideild (HÍ)
Faculty of Industrial Eng., Mechanical Eng. and Computer Science (UI)
Series: Journal of the Mechanical Behavior of Biomedical Materials;110
ISSN: 1751-6161
DOI: 10.1016/j.jmbbm.2020.103866
Subject: Bone; Computed tomography; Density; Finite element; Strength; Beinþéttni; Beinin; Sneiðmyndatökur
URI: https://hdl.handle.net/20.500.11815/2189

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Fleps, I., Bahaloo, H., Zysset, P., Ferguson, S., Pálsson, H., & Helgason, B. (2020). Empirical relationships between bone density and ultimate strength: A literature review. Journal of the Mechanical Behavior of Biomedical Materials, 110, 103866.


Introduction: Ultimate strength-density relationships for bone have been reported with widely varying results. Reliable bone strength predictions are crucial for many applications that aim to assess bone failure. Bone density and bone morphology have been proposed to explain most of the variance in measured bone strength. If this holds true, it could lead to the derivation of a single ultimate strength-density-morphology relationship for all anatomical sites. Methods: All relevant literature was reviewed. Ultimate strength-density relationships derived from mechanical testing of human bone tissue were included. The reported relationships were translated to ultimate strength-apparent density relationships and normalized with respect to strain rate. Results were grouped based on bone tissue type (cancellous or cortical), anatomical site, and loading mode (tension vs. compression). When possible, the relationships were compared to existing ultimate strength-density-morphology relationships. Results: Relationships that considered bone density and morphology covered the full spectrum of eight-fold inter-study difference in reported compressive ultimate strength-density relationships for trabecular bone. This was true for studies that tested specimens in different loading direction and tissue from different anatomical sites. Sparse data was found for ultimate strength-density relationships in tension and for cortical bone properties transverse to the main loading axis of the bone. Conclusions: Ultimate strength-density-morphology relationships could explain measured strength across anatomical sites and loading directions. We recommend testing of bone specimens in other directions than along the main trabecular alignment and to include bone morphology in studies that investigate bone material properties. The lack of tensile strength data did not allow for drawing conclusions on ultimate strength-density-morphology relationships. Further studies are needed. Ideally, these studies would investigate both tensile and compressive strength-density relationships, including morphology, to close this gap and lead to more accurate evaluation of bone failure.


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This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

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