An enhanced version of a bone-remodelling model based on the continuum damage mechanics theory

Mengoni, Marlène; Ponthot, Jean‐Philippe

doi:10.1080/10255842.2014.903933

Cited by 13 publications

(10 citation statements)

References 25 publications

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“…Furthermore, since the formulation is similar to the Weinans-Huiskes-Grootenboer model of bone remodelling, it would allow for a direct coupling of these models, a future objective of the authors. Although an existing work presents a coupling between damage and a remodelling model [15], it is based on a simple remodelling rule and the numerical analysis is not performed.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Damage Models for Cortical Bone

Baldonedo¹,

Fernández

López-Campos³

et al. 2019

Applied Sciences

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Bone tissue is a material with a complex structure and mechanical properties. Diseases or even normal repetitive loads may cause microfractures to appear in the bone structure, leading to a deterioration of its properties. A better understanding of this phenomenon will lead to better predictions of bone fracture or bone-implant performance. In this work, the model proposed by Frémond and Nedjar in 1996 (initially for concrete structures) is numerically analyzed and compared against a bone specific mechanical model proposed by García et al. in 2009. The objective is to evaluate both models implemented with a finite element method. This will allow us to determine if the modified Frémond–Nedjar model is adequate for this purpose. We show that, in one dimension, both models show similar results, reproducing the qualitative behaviour of bone subjected to typical engineering tests. In particular, the Frémond–Nedjar model with the introduced modifications shows good agreement with experimental data. Finally, some two-dimensional results are also provided for the Frémond–Nedjar model to show its behaviour in the simulation of a real tensile test.

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Section: Introductionmentioning

confidence: 99%

Analysis of Damage Models for Cortical Bone

Baldonedo¹,

Fernández

López-Campos³

et al. 2019

Applied Sciences

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“…This reduces the complexity of the model, but when the complexity of the lower scale has a strong influence at the scale of the problem, the complexity returns in the form of a complex constitutive law. This approach has been very useful in understanding the load-deformation of hard tissues such as bone, and some soft tissues such as cartilage [ 6 , 7 ]. However, these models need to pre-define a problem domain and can only model events requiring evolution of the spatial domain of interest with considerable difficulty (e.g.…”

Section: Introductionmentioning

confidence: 99%

Discrete Element Framework for Modelling Extracellular Matrix, Deformable Cells and Subcellular Components

et al. 2015

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This paper presents a framework for modelling biological tissues based on discrete particles. Cell components (e.g. cell membranes, cell cytoskeleton, cell nucleus) and extracellular matrix (e.g. collagen) are represented using collections of particles. Simple particle to particle interaction laws are used to simulate and control complex physical interaction types (e.g. cell-cell adhesion via cadherins, integrin basement membrane attachment, cytoskeletal mechanical properties). Particles may be given the capacity to change their properties and behaviours in response to changes in the cellular microenvironment (e.g., in response to cell-cell signalling or mechanical loadings). Each particle is in effect an ‘agent’, meaning that the agent can sense local environmental information and respond according to pre-determined or stochastic events. The behaviour of the proposed framework is exemplified through several biological problems of ongoing interest. These examples illustrate how the modelling framework allows enormous flexibility for representing the mechanical behaviour of different tissues, and we argue this is a more intuitive approach than perhaps offered by traditional continuum methods. Because of this flexibility, we believe the discrete modelling framework provides an avenue for biologists and bioengineers to explore the behaviour of tissue systems in a computational laboratory.

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“…Also, mechanical dynamic loads have been identified to cause interstitial fluid flow, inducing shear stresses to adjacent osteocytes within the lacuna‐canalicular porous networks, which enable mechano‐sensing. Relatively recently, based on continuum damage mechanics, models describing the interaction of damage and remodeling in bone have been proposed …”

Section: Introductionmentioning

confidence: 99%

A biomechanical evaluation of CNT‐grown bone

Saffar

Sudak

Federico

2015

J Biomedical Materials Res

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Beside their biochemical properties, the exceptional mechanical characteristics of carbon nanotubes (CNTs) suggested growing a reinforced composite material very similar to natural bone in structure and chemical composition, but significantly stronger and stiffer. This is where biomechanical considerations portray themselves to justify the need for further investigations, in order to verify the applicability of CNTs as scaffolds that may ease bone regeneration and simultaneously raise its mechanical strength and durability. This research, using several modeling approaches, attempts to look at some of the mechanical changes likely to take place in the promised artificial tissue, while considering the relationships between mechanical and living functions of bone, particularly the remodeling process. Results suggest that notwithstanding the significant improvements induced to the mechanical behavior of the artificial tissue, applications of such stiff inclusions as CNTs in reinforcing the material of bone may detrimentally change the thresholds of mechanical stimuli that are essential for the initiation and resumption of the bone remodeling process.

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An enhanced version of a bone-remodelling model based on the continuum damage mechanics theory

Cited by 13 publications

References 25 publications

Analysis of Damage Models for Cortical Bone

Analysis of Damage Models for Cortical Bone

Discrete Element Framework for Modelling Extracellular Matrix, Deformable Cells and Subcellular Components

A biomechanical evaluation of CNT‐grown bone

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