Anisotropic mode-dependent damage of cortical bone using the extended finite element method (XFEM)

Feerick, Emer M.; Liu, Xiangyi Cheryl; McGarry, Patrick

doi:10.1016/j.jmbbm.2012.12.004

Cited by 77 publications

(47 citation statements)

References 31 publications

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“…In addition to incorporating a pressure dependent plasticity of the trabecular bone, incorporation of anisotropic and heterogeneous trabecular properties in the computational models may yield improved results. In addition to the simulation of plasticity during implantation, future studies should also incorporate damage during implantation using the element deletion techniques [34] or the extended finite element methods (XFEM) for crack growth prediction, as developed by Feerick et al (2013) for cortical bone [35].…”

Section: Discussionmentioning

confidence: 99%

An investigation of the inelastic behaviour of trabecular bone during the press-fit implantation of a tibial component in total knee arthroplasty

Kelly

Cawley

Shannon

et al. 2013

Medical Engineering & Physics

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Section: Discussionmentioning

confidence: 99%

An investigation of the inelastic behaviour of trabecular bone during the press-fit implantation of a tibial component in total knee arthroplasty

Kelly

Cawley

Shannon

et al. 2013

Medical Engineering & Physics

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“…The extended finite element method (X-FEM) first introduced by Belytschko and Blackard [5] allows for the analysis of crack initiation without the need for repeated re-meshing or explicit geometric modeling of the discontinuity during crack propagation. Some studies have implemented X-FEM analysis to study dental, ceramics and brittle materials [3,26,33,43], cracks upon impact on windshields [42], the effects and characteristics of cracks on 2D structures [6], hip fracture pattern and repair [1] or cortical bone damage [16]. However, X-FEM has not been previously used to study complex structures such as cadaveric vertebral compression fractures.…”

Section: Introductionmentioning

confidence: 99%

Specimen-specific vertebral fracture modeling: a feasibility study using the extended finite element method

Giambini

Qin

Dragomir-Daescu

et al. 2015

Med Biol Eng Comput

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Osteoporotic vertebral body fractures are an increasing clinical problem among the aging population. Specimen-specific finite element models, derived from quantitative computed tomography (QCT) have the potential to more accurately predict failure loads in the vertebra. Additionally, the use of extended finite element modeling (X-FEM) allows for a detailed analysis of crack initiation and propagation in various materials. Our aim was to study the feasibility of QCT/X-FEM analysis to predict fracture properties of vertebral bodies. Three cadaveric specimens were obtained and the L3 vertebrae were excised. The vertebrae were CT scanned to develop computational models and mechanically tested in compression to measure failure load, stiffness and to observe crack location. One vertebra was used for calibration of the material properties from experimental results and CT grey scale values. The two additional specimens were used to assess the model prediction. The resulting QCT/X-FEM model of the specimen used for calibration had 2% and 4% errors in stiffness and failure load, respectively, compared with the experiment. The predicted failure loads of the additional two vertebrae were larger by about 41-44% when compared to the measured values, while the stiffness differed by 129% and 40%. The predicted fracture patterns matched fairly well with the visually observed experimental cracks. Our feasibility study indicated that the QCT/X-FEM method used to predict vertebral compression fractures is a promising tool to consider in future applications for improving vertebral fracture risk prediction in the elderly.

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“…This is because multiple cracks were generated simultaneously at the location where the first crack initiation is expected. This behavior is not expected especially when a cortical bone sample is under tensile stresses as shown in Figure 4 [20], previous experimental studies [12,[20][21][22], and previous simulation studies [9][10][11]. Using a very fine mesh will generate multiple cracks in a small region.…”

Section: Resultsmentioning

confidence: 94%

Cortical bone fracture analysis using XFEM – case study

Idkaidek

Jasiuk

2016

Numer Methods Biomed Eng

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We aim to achieve an accurate simulation of human cortical bone fracture using the extended finite element method within a commercial finite element software abaqus. A two-dimensional unit cell model of cortical bone is built based on a microscopy image of the mid-diaphysis of tibia of a 70-year-old human male donor. Each phase of this model, an interstitial bone, a cement line, and an osteon, are considered linear elastic and isotropic with material properties obtained by nanoindentation, taken from literature. The effect of using fracture analysis methods (cohesive segment approach versus linear elastic fracture mechanics approach), finite element type, and boundary conditions (traction, displacement, and mixed) on cortical bone crack initiation and propagation are studied. In this study cohesive segment damage evolution for a traction separation law based on energy and displacement is used. In addition, effects of the increment size and mesh density on analysis results are investigated. We find that both cohesive segment and linear elastic fracture mechanics approaches within the extended finite element method can effectively simulate cortical bone fracture. Mesh density and simulation increment size can influence analysis results when employing either approach, and using finer mesh and/or smaller increment size does not always provide more accurate results. Both approaches provide close but not identical results, and crack propagation speed is found to be slower when using the cohesive segment approach. Also, using reduced integration elements along with the cohesive segment approach decreases crack propagation speed compared with using full integration elements. Copyright © 2016 John Wiley & Sons, Ltd.

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Anisotropic mode-dependent damage of cortical bone using the extended finite element method (XFEM)

Cited by 77 publications

References 31 publications

An investigation of the inelastic behaviour of trabecular bone during the press-fit implantation of a tibial component in total knee arthroplasty

An investigation of the inelastic behaviour of trabecular bone during the press-fit implantation of a tibial component in total knee arthroplasty

Specimen-specific vertebral fracture modeling: a feasibility study using the extended finite element method

Cortical bone fracture analysis using XFEM – case study

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