Effect of micro-morphology of cortical bone tissue on fracture toughness and crack propagation

Wang, Mayao; Zimmermann, Elizabeth A.; Riedel, Christoph; Busseb, Björn; Li, Simin; Silberschmidt, Vadim V.

doi:10.1016/j.prostr.2017.11.010

Cited by 14 publications

(10 citation statements)

References 9 publications

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“…The process of microcracking in the bone osteon network has been addressed in the literature. Previous studies suggest that osteons act as a barrier in the propagation of microcracks, which would preferably occur along the cement lines and interstitial tissue, promoting the separation of osteons 31–34 . Thus, it can be assumed that cortical bone is formed by a net of basic cells that represent the osteons and whose limits or bonds correspond to the cement lines and interstitial tissue.…”

Section: Methodsmentioning

confidence: 99%

“…Previous studies suggest that osteons act as a barrier in the propagation of microcracks, which would preferably occur along the cement lines and interstitial tissue, promoting the separation of osteons. [31][32][33][34] Thus, it can be assumed that cortical bone is formed by a net of basic cells that represent the osteons and whose limits or bonds correspond to the cement lines and interstitial tissue. The microcracks preferably propagate between osteons (see Figure 3), which implies the cracking of the mesh bonds, and this propagation implies an energy release as an AE signal.…”

Section: Model Based In Percolation Theorymentioning

confidence: 99%

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A predictive model for fracture in human ribs based on in vitro acoustic emission data

García-Vilana¹,

Sánchez-Molina²,

Llumà³

et al. 2021

Medical Physics

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Purpose The aim of this paper is to propose a fracture model for human ribs based on acoustic emission (AE) data. The accumulation of microcracking until a macroscopic crack is produced can be monitored by AE. The macrocrack propagation causes the loss of the structural integrity of the rib. Methods The AE technique was used in in vitro bending tests of human ribs. The AE data obtained were used to construct a quantitative model that allows an estimation of the failure stress from the signals detected. The model predicts the ultimate stress with an error of less than 3.5% (even at stresses 15% lower than failure stress), which makes it possible to safely anticipate the failure of the rib. Results The percolation theory was used to model crack propagation. Moreover, a quantitative probability‐based model for the expected number of AE signals has been constructed, incorporating some ideas of percolation theory. The model predicts that AE signals associated with micro‐failures should exhibit a vertical asymptote when stress increases. The occurrence of this vertical asymptote was attested in our experimental observations. The total number of microfailures detected prior to the failure is N≈100 and the ultimate stress is σ∞=197±62 MPa. A significant correlation (p < 0.0001) between σ∞ and the predicted value is found, using only the first N = 30 micro‐failures (correlation improves for N higher). Conclusions The measurements and the shape of the curves predicted by the model fit well. In addition, the model parameters seem to explain quantitatively and qualitatively the distribution of the AE signals as the material approaches the macroscopic fracture. Moreover, some of these parameters correlate with anthropometric variables, such as age or Body Mass Index. The proposed model could be used to predict the structural failure of ribs subjected to bending.

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Section: Methodsmentioning

confidence: 99%

Section: Model Based In Percolation Theorymentioning

confidence: 99%

A predictive model for fracture in human ribs based on in vitro acoustic emission data

García-Vilana¹,

Sánchez-Molina²,

Llumà³

et al. 2021

Medical Physics

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“…The stiffness for the matrix was measured under wet conditions. Symbols used in the table: ~ approximate value interpreted from figures; K G calculated from a reported stress intensity factor K , where G = K 2 / E , assuming E = 20 GPa (Koester et al 2008); T transverse osteons (crack parallel to osteons); L longitudinal osteons (crack perpendicular to osteons) a Faingold et al (2014); b Nyman et al (2006); c Rho et al (1999); d Rho et al (2002); e Mullins et al (2009); f Hengsberger et al (2002); g Skedros et al (2005); h Milovanovic et al (2018); i Burr et al (1988); j Montalbano and Feng (2011); k Chan et al (2009); l Gargac et al (2014); m Gustafsson et al (2018b); n Sun et al (2010); o Dong et al (2005); p Bigley et al (2006); q Norman et al (1995); r Zimmermann et al (2009); s Koester et al (2008); t Nalla et al (2005); u Mullins et al (2009); v Abdel-Wahab et al (2012); w Li et al (2013); x Vergani et al (2014); y Budyn and Hoc (2007); z Baptista et al (2016); aa Idkaidek and Jasiuk (2017); ab Wang et al (2017); ac Idkaidek and Jasiuk (2017); ad Budyn et al (2008); ae Demirtas et al (2016); af Rodriguez-Florez et al (2017); ag Giner et al (2017); ah Mischinski and Ural (2011); ai Nobakhti et al (2014)…”

Section: Methodsmentioning

confidence: 99%

Crack propagation in cortical bone is affected by the characteristics of the cement line: a parameter study using an XFEM interface damage model

Gustafsson

Wallin

Khayyeri

et al. 2019

Biomech Model Mechanobiol

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Bulk properties of cortical bone have been well characterized experimentally, and potent toughening mechanisms, e.g., crack deflections, have been identified at the microscale. However, it is currently difficult to experimentally measure local damage properties and isolate their effect on the tissue fracture resistance. Instead, computer models can be used to analyze the impact of local characteristics and structures, but material parameters required in computer models are not well established. The aim of this study was therefore to identify the material parameters that are important for crack propagation in cortical bone and to elucidate what parameters need to be better defined experimentally. A comprehensive material parameter study was performed using an XFEM interface damage model in 2D to simulate crack propagation around an osteon at the microscale. The importance of 14 factors (material parameters) on four different outcome criteria (maximum force, fracture energy, crack length and crack trajectory) was evaluated using ANOVA for three different osteon orientations. The results identified factors related to the cement line to influence the crack propagation, where the interface strength was important for the ability to deflect cracks. Crack deflection was also favored by low interface stiffness. However, the cement line properties are not well determined experimentally and need to be better characterized. The matrix and osteon stiffness had no or low impact on the crack pattern. Furthermore, the results illustrated how reduced matrix toughness promoted crack penetration of the cement line. This effect is highly relevant for the understanding of the influence of aging on crack propagation and fracture resistance in cortical bone. Electronic supplementary material The online version of this article (10.1007/s10237-019-01142-4) contains supplementary material, which is available to authorized users.

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“…Microscopy provides very fine and detailed images featuring the nano and even sub-nano lengthscale bone geometry. However, this technique is invasive and only able to prove 2D geometry [83,[132][133][134]. Microscopy-based 3D geometry models can be created when the third dimension is idealized [134], e.g., when a circle is turned into a cylinder.…”

Section: Definition 2 (Computational Bone Model)mentioning

confidence: 99%

Patient-Specific Bone Multiscale Modelling, Fracture Simulation and Risk Analysis—A Survey

et al. 2019

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This paper provides a starting point for researchers and practitioners from biology, medicine, physics and engineering who can benefit from an up-to-date literature survey on patient-specific bone fracture modelling, simulation and risk analysis. This survey hints at a framework for devising realistic patient-specific bone fracture simulations. This paper has 18 sections: Section 1 presents the main interested parties; Section 2 explains the organzation of the text; Section 3 motivates further work on patient-specific bone fracture simulation; Section 4 motivates this survey; Section 5 concerns the collection of bibliographical references; Section 6 motivates the physico-mathematical approach to bone fracture; Section 7 presents the modelling of bone as a continuum; Section 8 categorizes the surveyed literature into a continuum mechanics framework; Section 9 concerns the computational modelling of bone geometry; Section 10 concerns the estimation of bone mechanical properties; Section 11 concerns the selection of boundary conditions representative of bone trauma; Section 12 concerns bone fracture simulation; Section 13 presents the multiscale structure of bone; Section 14 concerns the multiscale mathematical modelling of bone; Section 15 concerns the experimental validation of bone fracture simulations; Section 16 concerns bone fracture risk assessment. Lastly, glossaries for symbols, acronyms, and physico-mathematical terms are provided.

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Effect of micro-morphology of cortical bone tissue on fracture toughness and crack propagation

Cited by 14 publications

References 9 publications

A predictive model for fracture in human ribs based on in vitro acoustic emission data

A predictive model for fracture in human ribs based on in vitro acoustic emission data

Crack propagation in cortical bone is affected by the characteristics of the cement line: a parameter study using an XFEM interface damage model

Patient-Specific Bone Multiscale Modelling, Fracture Simulation and Risk Analysis—A Survey

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