Influence of the mineral staggering on the elastic properties of the mineralized collagen fibril in lamellar bone

Vercher-Martínez, Ana; Giner, Eugenio; Arango, Camila; Fuenmayor, F. J.

doi:10.1016/j.jmbbm.2014.11.022

Cited by 31 publications

(32 citation statements)

References 49 publications

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“…Each one of these TC molecules is composed of three alpha helix chains. Works using this model consider a periodic rectangular unit with definite geometric parameters [18,21,35,53]. In this work, the mineralized collagen fibril MCFs is considered as reinforced composite formed by a matrix of hydroxyapatite mineral platelets reinforced by deformable fibers (cross-linked mineralized collagen microfibrils) [54].…”

Section: Mineralized Collagen Fibril/fibrementioning

confidence: 99%

“…Some of these studies have focused on Mineralized Collagen Microfibrils (MCMs) scale [13][14][15][16][17]. Others have been interested on the second scale level Mineralized Collagen Fibrils (MCFs) [18][19][20][21]. There are also works dealing with lamella scale [11,22] and osteons scale [12].…”

Section: Introductionmentioning

confidence: 99%

“…To the best of our knowledge, this is the first MCF 3D model considering the staggered arrangement of HA crystal within the collagen matrix. VercherMartínez et al [21] used a direct homogenization procedure by means of the finite element method and composite materials approaches to estimate the transversally isotropic properties of the MCF by considering the collagen and mineral distribution accordingly to the Hodge and Petrutska model [38]. Molecular dynamics simulations (MD model) [39] have been developed to investigate the mechanical response under uniaxial tension of individual MCF.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A multiscale modelling of bone ultrastructure elastic proprieties using finite elements simulation and neural network method

Barkaoui

Tlili

Vercher-Martínez

et al. 2016

Computer Methods and Programs in Biomedicine

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Section: Mineralized Collagen Fibril/fibrementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A multiscale modelling of bone ultrastructure elastic proprieties using finite elements simulation and neural network method

Barkaoui

Tlili

Vercher-Martínez

et al. 2016

Computer Methods and Programs in Biomedicine

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“…In this Thesis and past publications of the research group ; Vercher-Martínez et al [2015]; ), the fibril orientation pattern proposed by Weiner et al [1999] is considered. These authors base their study on several TEM and SEM micrographies concluding that a lamellar unit is an asymmetric structure formed by five sublayers in which fibrils change their orientation.…”

Section: Lekhnitskii Transformationmentioning

confidence: 99%

“…3.3), W = 30 nm and T = 5 nm, with a volume fraction of 0.3 ; Vercher-Martínez et al [2015]; ). The distance between crystals in the longitudinal direction d L , has been calculated by d L =4.4D − L because the periodic unit in this direction must be equal to the molecule longitude.…”

Section: Load Casementioning

confidence: 99%

Study of the mechanical behavior of cortical bone microstructure by the finite element method

Villegas¹

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Cortical bone tissue is the responsible of giving support and structure to vertebrates. For that reason, understanding and analyzing its behavior is needed from each different hierarchical level that composes it. The lower the structural scale is, the greater the complexity and scarcity of studies in literature. These studies are relevant for understanding, preventing and solving important health problems that affect human beings.From a mechanical point of view is interesting to evaluate and apply engineering numerical tools to analyze complex materials as biological tissues, increasing the state of the art in different disciplines that can be applied in numerous fields as material science, biomechanics, numerical methods, medicine and more.In this Thesis the mechanical behavior of cortical bone at microstructural level is analyzed, with finite element models of its basic structure, the osteon. The microstructure of osteons, composed of mineralized collagen fibrils in layers with different orientations disposed concentrically around blood vessels is considered in the models for the calculation of elastic properties and failure criteria definition.For obtaining elastic properties, the use of micromechanical finite element models is considered, with heterogeneous composition for both mineralized col-I lagen fibrils (at nanostructural level) and lamellar level (at sub-microstructural level).The failure analysis for realistic geometries is applied after comparing different models that involve, on one hand the growth of microcracks with contact conditions and on the other, degradation of elastic material properties by user subroutines of the finite element code, the latter being the one that brings better results from a computational cost viewpoint. Therefore an interesting alternative is here presented that can be used to evaluate the damage propagation at three-dimensional level, which with other methods as X-FEM can be computationally unaffordable.Composite materials failure criteria are applied to osteon analysis and the results are related with experimental tests from bibliography, showing the relevance of shear stresses between lamellae for failure initiation and propagation. In a two-dimensional study it is also shown the important role of osteocyte lacunae in the failure initiation, what is interesting from a cellular mechanotransduction approach. II C. Arango Villegas ResumenEl tejidoóseo cortical es el encargado de dar soporte y estructura a los vertebrados. Existe por tanto una necesidad de conocer y analizar mecánicamente su comportamiento desde los distintos niveles jerárquicos que lo componen, siendo mayor la complejidad y más escasos los estudios disponibles en la literatura cuanto más pequeña es la escala estructural que se analiza. Estos estudios son relevantes para comprender, prevenir y solucionar problemas de salud importantes que afectan al ser humano.Desde el punto de vista mecánico es interesante evaluar y aplicar herramientas numéricas ingenieriles para el análisis de materiales más co...

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Mechanical Properties of Model Two‐Phase Composites with Continuous Compared to Discontinuous Phases

Sabet

McKittrick

et al. 2018

Adv Eng Mater

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Composites with stiff and soft phases are widely used in engineering applications and are found in nature. Geometrical arrangements of phases in composites can significantly influence overall properties. This study focuses on the numerical and experimental investigation of the mechanical behavior of model two‐phase composites with different phase geometries including an interpenetrating phase composite with two continuous phases, a matrix‐inclusion composite with a continuous and a discontinuous phase, and a discontinuous phase composite where both phases are discontinuous. These different types of composites are fabricated by additive manufacturing and their mechanical performance is studied both experimentally, using compression testing and digital image correlation, and numerically by a finite element analysis. It is observed that continuity of the stiff phase leads to a stiffer overall response of composites. Furthermore, while the stiff phase enhances the overall elastic modulus by enduring a larger fraction of the load, the soft phase provides load redistribution resulting in a higher load‐bearing capacity. Finally, these composite types are simulated using properties of bone constituents (collagen and hydroxyapatite) and results imply that bone may be an interpenetrating phase composite. The findings of this study provide guidance for the design of advanced composites with superior properties.

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Influence of the mineral staggering on the elastic properties of the mineralized collagen fibril in lamellar bone

Cited by 31 publications

References 49 publications

A multiscale modelling of bone ultrastructure elastic proprieties using finite elements simulation and neural network method

A multiscale modelling of bone ultrastructure elastic proprieties using finite elements simulation and neural network method

Study of the mechanical behavior of cortical bone microstructure by the finite element method

Mechanical Properties of Model Two‐Phase Composites with Continuous Compared to Discontinuous Phases

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