On Smoothing Surfaces in Voxel Based Finite Element Analysis of Trabecular Bone

Arbenz, Peter; Flaig, Cyril

doi:10.1007/978-3-540-78827-0_6

Cited by 8 publications

(7 citation statements)

References 8 publications

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“…Large-scale voxel-based models have been used to investigate the mechanics of bone, where the trabecular structure is modeled as a solid body with material properties obtained from previous experiments [11][12][13]. While the trabecular structure from three-dimensional microcomputed tomography ( CT) was directly implemented into a finite element using the cubic voxel meshes, an additional surface smoothing process was necessary [14]. Lattice models have been proposed to simulate osteoporotic and normal bone through variation in trabecular thickness, spacing, or random material removal [15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Stress Analysis of Osteoporotic Lumbar Vertebra Using Finite Element Model with Microscaled Beam-Shell Trabecular-Cortical Structure

Kim

2013

Journal of Applied Mathematics

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Osteoporosis is a disease in which low bone mass and microarchitectural deterioration of bone tissue lead to enhanced bone fragility and susceptibility to fracture. Due to the complex anatomy of the vertebral body, the difficulties associated with obtaining bones for in vitro experiments, and the limitations on the control of the experimental parameters, finite element models have been developed to analyze the biomechanical properties of the vertebral body. We developed finite element models of the L2 vertebra, which consisted of the endplates, the trabecular lattice, and the cortical shell, for three age-related grades (young, middle, and old) of osteoporosis. The compressive strength and stiffness results revealed that we had developed a valid model that was consistent with the results of previous experimental and computational studies. The von-Mises stress, which was assumed to predict the risk of a burst fracture, was also determined for the three age groups. The results showed that the von-Mises stress was substantially higher under relatively high levels of compressive loading, which suggests that patients with osteoporosis should be cautious of fracture risk even during daily activities.

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Section: Introductionmentioning

confidence: 99%

Stress Analysis of Osteoporotic Lumbar Vertebra Using Finite Element Model with Microscaled Beam-Shell Trabecular-Cortical Structure

Kim

2013

Journal of Applied Mathematics

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“…Despite the voxel-based model has been used in numerous applications, it appears that less attention has been paid to the assessment of its accuracy [7,1]. The objective of this work is thus to analyze the accuracy of the voxel-based FEM and X-FEM/levelset approach.…”

Section: Introductionmentioning

confidence: 99%

Image-based computational homogenization and localization: comparison between X-FEM/levelset and voxel-based approaches

2012

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International audienceIn material science, images are increasingly used as input data for computational models. In most of the published papers, voxel-based finite element models are employed using a mesh that is automatically built by converting each voxel into a finite element. We have recently proposed (Legrain \emph{et al}. , 2011) another computational approach for incorporating images in models, based on the extended finite element method (X-FEM) and levelsets. Its main advantages are that the mesh does not need to conform to the geometry and that a smooth representation of physical surfaces is obtained. The aim of this paper is to compare the two approaches in the framework of computational homogenization in elasticity, starting from material microstructural images. Attention will be paid to geometrical approximations, macroscopic properties and local quantities (e.g. stress oscillations, local error etc.). It is shown that the X-FEM/levelset approach is more efficient than voxel-based FEM

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“…[1,2]). Furthermore, the isotropic linear elasticity model considered here is a brick in the development of a generalized toolkit for µFE simulation of the bone micro-structure.…”

Section: Introductionmentioning

confidence: 99%

Parallel Performance Evaluation of MIC(0) Preconditioning Algorithm for Voxel μFE Simulation

Lirkov

Vutov

Paprzycki

et al. 2010

Parallel Processing and Applied Mathematics

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Abstract. Numerical homogenization is used for up-scaling of a linear elasticity tensor of strongly heterogeneous micro-structures. Utilized approach assumes presence of a periodic micro-structure and thus periodic boundary conditions. Rotated trilinear Rannacher-Turek finite elements are used for the discretization, while a parallel PCG method is used to solve arising large-scale systems with sparse, symmetric, positive semidefinite matrices. Applied preconditioner is based on modified incomplete Cholesky factorization MIC(0). The test problem represents a trabecular bone tissue, and takes into account only the elastic response of the solid phase. The voxel microstructure of the bone is extracted from a high resolution computer tomography image. Numerical tests performed on parallel computers demonstrate the efficiency of the developed algorithm.

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On Smoothing Surfaces in Voxel Based Finite Element Analysis of Trabecular Bone

Cited by 8 publications

References 8 publications

Stress Analysis of Osteoporotic Lumbar Vertebra Using Finite Element Model with Microscaled Beam-Shell Trabecular-Cortical Structure

Stress Analysis of Osteoporotic Lumbar Vertebra Using Finite Element Model with Microscaled Beam-Shell Trabecular-Cortical Structure

Image-based computational homogenization and localization: comparison between X-FEM/levelset and voxel-based approaches

Parallel Performance Evaluation of MIC(0) Preconditioning Algorithm for Voxel μFE Simulation

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