Journal article
Predicting fracture of the femoral neck
Journal of biomechanics, v 40(8), pp 1813-1823
2007
PMID: 17046773
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
A prediction of the probability of safe loading of the femoral neck, based on queueing theory, is presented. The following methods have been applied: (I) criterion of bone fracture was formulated, taking into consideration the complex state of stress–strain in the porosity zones of the bone; (II) tensile stresses around pores in the stretched zone of the bone were evaluated; (III) the influence of random events of the critical regimes of loading was modeled.
The evaluation of the probability of safe loading of bones was obtained based on the levels of the tensile stresses, Young's moduli and ultimate tensile stresses which are affected by the increase in bone porosity and the distribution of the pores. Examples of analysis involving typical mechanical properties of bone in areas of vascular and lacunar–canalicular porosity are demonstrated.
The ranges of initial average values of effective Young's moduli and ultimate tensile strengths were taken as 15.8–17.5
GPa and 83–95
MPa, respectively.
The present analysis discovers the existence of three levels of safe loading: (1) a relatively safe level of the nominal tensile stresses (smaller than (2.8–3.2)
MPa) where the probability of safe loading is of the order of 0.95 for the bone porosity which is less than 0.15; (2) an intermediate level of safety where the nominal tensile stresses are below (4.2–4.8)
MPa and the probability of safe loading is 0.89 or higher, for the same level of bone porosity; (3) a critical level of safe loading where the nominal tensile stresses are about (8.3–9.5)
MPa; they lead to sharp drop of probabilities of safe loading to 0.85–0.8 if the porosity is about 0.10 and to probabilities of 0.41–0.4 if the porosity is about 0.15.
Metrics
Details
- Title
- Predicting fracture of the femoral neck
- Creators
- Leonard Stepanskiy - Drexel UniversityRahamim (Rami) Seliktar - Drexel University
- Publication Details
- Journal of biomechanics, v 40(8), pp 1813-1823
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- School of Biomedical Engineering, Science, and Health Systems; [Retired Faculty]
- Web of Science ID
- WOS:000247191500021
- Scopus ID
- 2-s2.0-34247862040
- Other Identifier
- 991019320513604721
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InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Biophysics
- Engineering, Biomedical