Mechanics of linear microcracking in trabecular bone

Hammond, Max A.; Wallace, Joseph M.; Allen, Matthew R.; Siegmund, Thomas

doi:10.1016/j.jbiomech.2018.11.018

Cited by 17 publications

(6 citation statements)

References 35 publications

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“…Available works focus on analyzing crack initiation as converge problems do not allow the full crack paths to be captured. Models in 3D have been used to simulate crack initiation in femurs (Ali et al 2014; Marco et al 2018b), teeth (Zhang et al 2016) and trabecular bone (Hammond et al 2019). Another approach was used by Demirtas et al (2016) who evaluated the possibility to use both XFEM and cohesive elements to simulate crack propagation in cortical bone 3D-geometries.…”

Section: Discussionmentioning

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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Section: Discussionmentioning

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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“…The heterogeneity caused due to the presence of pre-existing cracks is a crucial subject in a wide range of research fields including: the micro-mechanical behaviour of concrete [48], micro-cracks in biological organs [49], and natural fractures in geological formations [50,51], to name a few. This example studies the robustness and flexibility of the proposed implementation in handling domains containing randomly distributed cracks.…”

Section: Square Plate With Multiple Randomly Distributed Cracksmentioning

confidence: 99%

An eXtended Finite Element Method Implementation in COMSOL Multiphysics: Solid Mechanics

Jafari¹,

Broumand²,

Vahab³

et al. 2021

Preprint

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This paper presents the first time implementation of the eXtended Finite Element Method (XFEM) in the general purpose commercial software COMSOL Multiphysics. An enrichment strategy is proposed, consistent with the structure of the software. To this end, for each set of enrichment functions, an additional Solid Mechanics module is incorporated into the numerical framework, coupled with compatible modifications to the internal variables. The Linear Elastic Fracture Mechanics (LEFM) is exclusively adopted for the crack analysis. The model pre-processing, level set update, stress intensity factor calculation and crack propagation analysis are conducted by employing COMSOL's built-in features in conjunction with external MATLAB functions through COMSOL LiveLink. All implementational aspects and suggested remedies for the treatment of enriched elements, framework setup, evaluation of stress intensity factors, and numerical integration are described in detail. The accuracy and robustness of the proposed method are examined by several numerical examples for stationary and propagating crack problems in 2D and 3D settings. The results represent excellent agreement with available analytical, numerical and experimental observations in the literature.

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“…In the literature we find several references that reveal the importance of considering the tissue properties in the trabecular bone numerical models, when the mechanical competence of bone is under study. Hammond et al (2019) state that, only when the tissue anisotropy is considered in their numerical models, the shape and distributed microcracking typically observed in trabecular bone are reproduced. In Hammond et al (2018), the effect of tissue properties on predicted stresses and strains is observed.…”

Section: Introductionmentioning

confidence: 99%

Numerical modelling of cancellous bone damage using an orthotropic failure criterion and tissue elastic properties as a function of the mineral content and microporosity

Megías

Vercher-Martínez

Belda

et al. 2022

Computer Methods and Programs in Biomedicine

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Mechanics of linear microcracking in trabecular bone

Cited by 17 publications

References 35 publications

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

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

An eXtended Finite Element Method Implementation in COMSOL Multiphysics: Solid Mechanics

Numerical modelling of cancellous bone damage using an orthotropic failure criterion and tissue elastic properties as a function of the mineral content and microporosity

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