Mathematical relationships between bone density and mechanical properties: A literature review

Helgason, Benedikt; Perilli, Egon; Schileo, Enrico; Taddei, Fulvia; Brynjólfsson, Sigurður; Viceconti, Marco

doi:10.1016/j.clinbiomech.2007.08.024

Cited by 463 publications

(302 citation statements)

References 57 publications

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“…Falling is a dynamic event involving high strain rates. Material properties of bone tissue are not only volume fraction dependent and anisotropic (Helgason et al, 2008;Morgan et al, 2003), but are also visco-elastic and visco-plastic (i.e. stiffer and stronger, but more brittle) under impact-compared to quasi-static loading conditions (Carter and Hayes, 1977).…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear quasi-static finite element simulations predict in vitro strength of human proximal femora assessed in a dynamic sideways fall setup

Варга

Schwiedrzik

Zysset

et al. 2016

Journal of the Mechanical Behavior of Biomedical Materials

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Nonlinear quasi-static finite element simulations predict in vitro strength of human proximal femora assessed in a dynamic sideways fall setup, Journal of the Mechanical Behavior of Biomedical Materials, http://dx.doi. org/10.1016/j.jmbbm.2015.11.026 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. was negligible for all predictions. These results suggest that quasi-static homogenized finite element analysis may be used to predict mechanical properties of proximal femora in the dynamic sideways fall situation.

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Section: Introductionmentioning

confidence: 99%

“…Accordingly, such models neglect mass-related effects and utilize material models that are calibrated based on low strain rate experimental testing of small bone cores (Helgason et al, 2008). These models are validated by means of quasi-static destructive testing of whole bones.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear quasi-static finite element simulations predict in vitro strength of human proximal femora assessed in a dynamic sideways fall setup

Варга

Schwiedrzik

Zysset

et al. 2016

Journal of the Mechanical Behavior of Biomedical Materials

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“…Finite element (FE) models have been proposed as an automatic and mechanistic method to assess bone strength and fracture risk in individuals [1]- [3]. However, there is no consensus about the optimal constitutive model and bone strength criterion to be implemented in such FE models [4]- [7]. This is because bone is a complex composite material, with properties that among other things change with time-and length-scale [8], [9].…”

Section: Introductionmentioning

confidence: 99%

Extracting accurate strain measurements in bone mechanics: A critical review of current methods

Grassi

Isaksson

2015

Journal of the Mechanical Behavior of Biomedical Materials

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Osteoporosis related fractures are a social burden that advocates for more accurate fracture prediction methods. Mechanistic methods, e.g. finite element models, have been proposed as a tool to better predict bone mechanical behaviour and strength. However, there is little consensus about the optimal constitutive law to describe bone as a material. Extracting reliable and relevant strain data from experimental tests is of fundamental importance to better understand bone mechanical properties, and to validate numerical models.Several techniques have been used to measure strain in experimental mechanics, with substantial differences in terms of accuracy, precision, time-and length-scale. Each technique presents upsides and downsides that must be carefully evaluated when designing the experiment. Moreover, additional complexities are often encountered when applying such strain measurement techniques to bone, due to its complex composite structure. 2This review of literature examined the four most commonly adopted methods for strain measurements (strain gauges, fibre Bragg grating sensors, digital image correlation, and digital volume correlation), with a focus on studies with bone as a substrate material, at the organ and tissue level. For each of them the working principles, a summary of the main applications to bone mechanics at the organ-and tissue-level, and a list of pros and cons are provided.

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“…The HU values are considered as temperatures, in order to simulate the inhomogeneous bone material properties in vivo by a linear-elastic temperature-dependent material model [5]. Correlations between HU and Young's modulus or bone mineral density and Young's modulus can be found in the literature [6]. The relationship between HU and bone mineral density can be determined through a bone mineral density phantom, which should be CT-scanned together with the interesting bone structure [4].…”

Section: Preparation Of the Fe-modelmentioning

confidence: 99%

Numerical simulation of mechanically stimulated bone remodelling

Mauck

Wieding

Kluess

et al. 2016

Current Directions in Biomedical Engineering

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Abstract:The numerical simulation of bone remodelling provides a great opportunity to improve the choice of therapy in particular for complex bone defects. Despite this fact, its use in clinical practice is not yet expedient because of several unresolved problems. In this paper a new bone remodelling algorithm based on standard computer tomography datasets and finite element analysis is introduced.

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Mathematical relationships between bone density and mechanical properties: A literature review

Cited by 463 publications

References 57 publications

Nonlinear quasi-static finite element simulations predict in vitro strength of human proximal femora assessed in a dynamic sideways fall setup

Nonlinear quasi-static finite element simulations predict in vitro strength of human proximal femora assessed in a dynamic sideways fall setup

Extracting accurate strain measurements in bone mechanics: A critical review of current methods

Numerical simulation of mechanically stimulated bone remodelling

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