A Finite Element Beam-model for Efficient Simulation of Large-scale Porous Structures

Stauber, Martin; Huber, Martin; Lenthe, G. Harry van; Boyd, Steven K.; Müller, Ralph

doi:10.1080/10255840410001656408

Cited by 16 publications

(8 citation statements)

References 40 publications

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“…Unlike the previously described beam model, (54)(55)(56) in which trabecular bone structure was simulated as connected rods, the plate and rod model fully appreciated trabecular bone structure as a combination of plate-like and rod-like structure. Our previous studies suggest that plate-like trabecular structure plays a far more important role in determining the mechanical competence of human trabecular bone.…”

Section: Discussionmentioning

confidence: 98%

Fast Trabecular Bone Strength Predictions of HR-pQCT and Individual Trabeculae Segmentation–Based Plate and Rod Finite Element Model Discriminate Postmenopausal Vertebral Fractures

Liu

Wang

Zhou

et al. 2013

Journal of Bone and Mineral Research

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While high-resolution peripheral quantitative computed tomography (HR-pQCT) has advanced clinical assessment of trabecular bone microstructure, nonlinear microstructural finite element (μFE) prediction of yield strength by HR-pQCT voxel model is impractical for clinical use due to its prohibitively high computational costs. The goal of this study was to develop an efficient HR-pQCT-based plate and rod (PR) modeling technique to fill the unmet clinical need for fast bone strength estimation. By using individual trabecula segmentation (ITS) technique to segment the trabecular structure into individual plates and rods, a patient-specific PR model was implemented by modeling each trabecular plate with multiple shell elements and each rod with a beam element. To validate this modeling technique, predictions by HR-pQCT PR model were compared with those of the registered high resolution μCT voxel model of 19 trabecular sub-volumes from human cadaveric tibiae samples. Both Young’s modulus and yield strength of HR-pQCT PR models strongly correlated with those of μCT voxel models (r2=0.91 and 0.86). Notably, the HR-pQCT PR models achieved major reductions in element number (>40-fold) and CPU time (>1,200-fold). Then, we applied PR model μFE analysis to HR-pQCT images of 60 postmenopausal women with (n=30) and without (n=30) a history of vertebral fracture. HR-pQCT PR model revealed significantly lower Young’s modulus and yield strength at the radius and tibia in fracture subjects compared to controls. Moreover, these mechanical measurements remained significantly lower in fracture subjects at both sites after adjustment for aBMD T-score at the ultradistal radius or total hip. In conclusion, we validated a novel HR-pQCT PR model of human trabecular bone against μCT voxel models and demonstrated its ability to discriminate vertebral fracture status in postmenopausal women. This accurate nonlinear μFE prediction of HR-pQCT PR model, which requires only seconds of desktop computer time, has tremendous promise for clinical assessment of bone strength.

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Section: Discussionmentioning

confidence: 98%

Fast Trabecular Bone Strength Predictions of HR-pQCT and Individual Trabeculae Segmentation–Based Plate and Rod Finite Element Model Discriminate Postmenopausal Vertebral Fractures

Liu

Wang

Zhou

et al. 2013

Journal of Bone and Mineral Research

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“…Furthermore, beam properties are easily manipulated to parametrically asses the influence of specific trabecular features. Beam FE models have been shown to accurately predict apparent elastic modulus of human trabecular bone samples as well as failure for an aluminum foam (Stauber et al, 2004). We hypothesized that for plate-like structures the use of beam-models is insufficient, and that a better representation of the plate-like trabeculae was needed in order to capture their specific nature.…”

Section: Introductionmentioning

confidence: 98%

“…Beam FE models have been proposed as an alternative to mFE analyses (Pothuaud et al, 2004;Stauber et al, 2004;van Lenthe et al, 2006). Typically, these models represent trabecular bone as a three-dimensional (3D) network of beams.…”

Section: Introductionmentioning

confidence: 99%

Fast and accurate specimen-specific simulation of trabecular bone elastic modulus using novel beam–shell finite element models

Vanderoost

Jaecques

Perre

et al. 2011

Journal of Biomechanics

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“…Comparing these models with the results obtained in IGFA, i.e. visually and computationally comparing the deformations obtained with µFE and IGFA, allows validating or invalidating new types of bone microstructural finite element models, such as non-linear µFE models or beam-like models [16,30]. Exploration of bone in the nano-domain is a necessity when investigating bone competence.…”

Section: Discussionmentioning

confidence: 99%

Functional microimaging: an integrated approach for advanced bone biomechanics and failure analysis

et al. 2006

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Biomechanical testing is the gold standard to determine bone competence, and has been used extensively. Direct mechanical testing provides detailed information on overall bone mechanical and material properties, but fails in revealing local properties such as local deformations and strains or quantification of fracture progression. Therefore, we incorporated several imaging methods in our mechanical setups in order to get a better insight into bone deformation and failure characteristics. Our aim was to develop an integrative approach for hierarchical investigation of bone, working at different scales of resolution ranging from the whole bone to its ultrastructure. At a macroscopic level, we used high-resolution and high-speed cameras which drastically increased the amount of information obtained from a biomechanical bone test. The new image data proved especially important when dealing with very small bones such as the murine femur. Here the feedback of the camera in the process of aligning and positioning the samples is indispensable for reproducibility. In addition, global failure behavior and fracture initiation can now be visualized with high temporal resolution. At a microscopic level, bone microstructure, i.e. trabecular architecture and cortical porosity, are known to influence bone strength and failure mechanisms significantly. For this reason, we developed an imageguided failure assessment technique, also referred to as functional microimaging, allowing direct time-lapsed 3D visualization and computation of local displacements and strains for better quantification of fracture initiation and progression at the microscopic level. While the resolution of typical desktop micro-computed tomography is around a few micrometers, highly brilliant X-rays from synchrotron radiation permit to explore the nanometer world. This allowed, for the first time, to uncover fully nondestructively the 3D ultrastructure of bone including vascular and cellular structures and to investigate their role in development of bone microcracks in an unprecedented resolution. We conclude that functional microimaging, i.e. the combination of biomechanical testing with non-destructive 3D imaging and visualization are extremely valuable in studying bone failure mechanisms. Functional investigation of microcrack initiation and propagation will lead to a better understanding of the relative contribution of bone mass and bone quality to bone competence.

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A Finite Element Beam-model for Efficient Simulation of Large-scale Porous Structures

Cited by 16 publications

References 40 publications

Fast Trabecular Bone Strength Predictions of HR-pQCT and Individual Trabeculae Segmentation–Based Plate and Rod Finite Element Model Discriminate Postmenopausal Vertebral Fractures

Fast Trabecular Bone Strength Predictions of HR-pQCT and Individual Trabeculae Segmentation–Based Plate and Rod Finite Element Model Discriminate Postmenopausal Vertebral Fractures

Fast and accurate specimen-specific simulation of trabecular bone elastic modulus using novel beam–shell finite element models

Functional microimaging: an integrated approach for advanced bone biomechanics and failure analysis

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