Large-Scale Finite Element Analysis of Human Cancellous Bone Tissue Micro Computer Tomography Data: A Convergence Study

Chen, Yuan; Pani, Martino; Taddei, Fulvia; Mazzà, Claudia; Li, X.; Viceconti, Marco

doi:10.1115/1.4028106

Cited by 18 publications

(10 citation statements)

References 34 publications

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“…Microtomography or X-ray CT-scan experimental setups [33] have been democratized in the recent years and realistic models of microstructures obtained from 3D imaging techniques can now be routinely generated for many materials at various scales. Furthermore, it is now possible to use these models in numerical simulations to evaluate mechanical and other physical properties of complex materials like bones [34,11], concrete [43,30], coke blend [36], filled elastomers [1], among many others.…”

Section: Introductionmentioning

confidence: 99%

A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography

Nguyen

Yvonnet

Zhu

et al. 2016

Computer Methods in Applied Mechanics and Engineering

261

200

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International audienceIn this work, a formulation is developed within the phase field method for mod-eling interactions between interfacial damage and bulk brittle cracking in complex microstructures. The method is dedicated to voxel-based models of highly complex microstructures, as obtained from X-ray microtomography images. A smoothed displacement jump approximation is introduced by means of level-set functions to overcome the issue of pixelized interfaces in voxel-based models. A simple technique is proposed to construct the level-set function in that case. Compared to recent work aiming at modeling cohesive cracks within the phase field method, our framework differs in several points: the formulation is such that interfaces are not initially damaged; no additional variables are required to describe the discontinuities at the interface and fatigue cracks can be modeled. The technique allows interaction between bulk and interface cracks, e.g. nucleation from interfaces and propagation within the matrix, and for arbitrary geometries and interactions between cracks. Several benchmarks are presented to validate the model. The technique is illustrated through numerical examples involving complex microcracking in X-ray CT image-based models of concrete microstructures

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Section: Introductionmentioning

confidence: 99%

A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography

Nguyen

Yvonnet

Zhu

et al. 2016

Computer Methods in Applied Mechanics and Engineering

261

200

View full text Add to dashboard Cite

show abstract

“…Meso-scale modelling of progressive failure in materials with multiple phases such as concrete [1][2][3], fiber-reinforced composite [4][5][6], bones [7,8] and braided composites [9][10][11][12] has received much attention in the past few decades. The multi-phase materials are usually characterized in terms of inclusion, matrix and interface in between.…”

Section: Introductionmentioning

confidence: 99%

Modelling progressive failure in multi-phase materials using a phase field method

Zhang

Yang

et al. 2019

Engineering Fracture Mechanics

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In this paper, a new phase field method is proposed for modelling of progressive failure in multi-phase materials. Material properties of the interface between inclusion and matrix are regularized by an auxiliary interface phase field. In addition, crack initiation and propagation are simulated by using another crack phase field. Different failure mechanisms such as interface debonding, matrix cracking and the interaction between these two failure mechanisms are modelled in a unified framework. For general application of the framework, an image processing method is employed to identify the individual phases for a given multi-phase material. The proposed method is implemented into the commercial software ABAQUS through a user subroutine UEL (user defined element). The derived method is validated through an example of a single fiber reinforced composite system. Moreover, a procedure for choosing parameters of the proposed phase field model is discussed. Further, the validated method is applied to fracture analysis of a multi-phase concrete structure and complex failure mechanisms within and across the phases are captured.

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“…Therefore, inaccuracies depend on the type of bone (i.e. differences in bone architecture and volume fraction) [ 15 , 29 ], the used imaging protocols [ 30 ], which should minimize discretization errors such as partial volume effect [ 31 , 32 ], and the assigned tissue modulus. To the authors’ knowledge there is no evidence in the literature about quantitative comparison of specimen-specific microFE models predictions of local displacements at the organ level, where the accuracy of microFE models relies also on the ability of the imaging procedure to capture both cortical and trabecular bone microarchitectures.…”

Section: Introductionmentioning

confidence: 99%

Micro Finite Element models of the vertebral body: Validation of local displacement predictions

et al. 2017

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The estimation of local and structural mechanical properties of bones with micro Finite Element (microFE) models based on Micro Computed Tomography images depends on the quality bone geometry is captured, reconstructed and modelled. The aim of this study was to validate microFE models predictions of local displacements for vertebral bodies and to evaluate the effect of the elastic tissue modulus on model’s predictions of axial forces. Four porcine thoracic vertebrae were axially compressed in situ, in a step-wise fashion and scanned at approximately 39μm resolution in preloaded and loaded conditions. A global digital volume correlation (DVC) approach was used to compute the full-field displacements. Homogeneous, isotropic and linear elastic microFE models were generated with boundary conditions assigned from the interpolated displacement field measured from the DVC. Measured and predicted local displacements were compared for the cortical and trabecular compartments in the middle of the specimens. Models were run with two different tissue moduli defined from microindentation data (12.0GPa) and a back-calculation procedure (4.6GPa). The predicted sum of axial reaction forces was compared to the experimental values for each specimen. MicroFE models predicted more than 87% of the variation in the displacement measurements (R2 = 0.87–0.99). However, model predictions of axial forces were largely overestimated (80–369%) for a tissue modulus of 12.0GPa, whereas differences in the range 10–80% were found for a back-calculated tissue modulus. The specimen with the lowest density showed a large number of elements strained beyond yield and the highest predictive errors. This study shows that the simplest microFE models can accurately predict quantitatively the local displacements and qualitatively the strain distribution within the vertebral body, independently from the considered bone types.

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Large-Scale Finite Element Analysis of Human Cancellous Bone Tissue Micro Computer Tomography Data: A Convergence Study

Cited by 18 publications

References 34 publications

A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography

A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography

Modelling progressive failure in multi-phase materials using a phase field method

Micro Finite Element models of the vertebral body: Validation of local displacement predictions

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