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Showing 1 to 17 of 17 for “"tetrahedral elements"”.
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Three dimensional fracture mechanics computations using tetrahedral finite elements
… create complicated 3-D models and mesh them with tetrahedral elements with relative ease, the application of finite element techniques in mechanical design has reached unprecedented proportions. However, the extension of these techniques to fracture mechanics studies is hindered by the …
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A Posteriori Error Analysis for a Discontinuous Galerkin Method Applied to Hyperbolic Problems on Tetrahedral Meshes
… problems on structured and unstructured tetrahedral meshes. We present a local error analysis to derive a discontinuous Galerkin orthogonality condition for the leading term of the discretization error and find basis functions spanning the error for several finite element spaces. We …
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Higher-Order Finite Element -Boundary Integral Methods for Electromagnetic Scattering and Radiation Analysis
… frontal solver is implemented with higher-order tetrahedral elements and mixed-order prism elements. It is then parallelized on Origin 2000 clusters in NCSA to exploit the power of supercomputers, and a high efficiency using up to 64 processors is achieved. Furthermore, a general frontal …
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IGFEM modeling of transverse failure in carbon-epoxy composites and implementation of the IGFEM in Abaqus FEA
… through the use of common linear four-node tetrahedral elements and the User Element Library API. This implementation was verified against analytical and conforming mesh solutions.
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A New Singular S-FEM For The Linear Elastic Fracture Mechanics
… a set of non-overlapping and no-gapping linear elements. Using the S-FEM, one only needs to calculate the displacement (and not the derivatives) over the boundaries of smoothing domains to compute the stiffness matrix of the system. Adopting this important feature, two new element types have …
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Enriching low-order finite elements by interpolation covers
… cover functions for low-order finite elements, namely, the 3-node triangular and 4- node tetrahedral elements. The standard linear finite element shape functions are coupled with interpolation cover functions over patches of elements to enrich the finite element approximation space and …
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Variational multiscale method for coupled systems: free-surface flows and stratified turbulence
… in an interface that traverses through the elements. Applying VMS method to the coupled system results in an interface stabilization term. It is shown that the structure of the stabilization term leads to the so-called Ghost-Penalty method. In the context of internal dissipation in …
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High resolution algorithms for the Navier Stokes equations for generalized descretizations
… for two dimensional quadrilateral and triangular elements and three dimensional tetrahedral elements will be provided. Fundamental to the solution algorithm is a technique for generating multidimensional polynomials which model the spatial variation of the flow variables. Cell averaged data is …
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Numerical studies of flow in porous media using an unstructured approach
… of a 3D image represent structured quadrilateral elements or nodal locations. In this work however, image-based unstructured meshing techniques are used to represent voxelised pore spaces by grids comprising entirely of tetrahedral elements. These unstructured tetrahedral grids are used in finite …
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Computational design for electromagnetic simulations
… expectations when linear, quadratic, and cubic tetrahedral elements are employed to discretize the field. To demonstrate the consistency of the adjoint-based sensitivity derivates with those obtained directly from the field solver, derivatives have been extracted from the field software using a …
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Effects on Initial Fixation of Cementless Tibial Trays in Total Knee Arthroplasty
… This tibial segment was meshed with 0.8-mm tetrahedral elements (Hypermesh, Altair, Troy, MI) and Hounsfield units for each element were extracted from the DICOM using custom Matlab scripting and converted to bone mineral density using the known densities of the phantom. The ratio of tray …
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Computational modeling and simulation of composite materials based on tomographic images
… by means of inter- face surfaces that intersect elements of the mesh. The discretized solution space is then augmented by enrichment functions associated with points of intersection with material interfaces, thereby enabling the accurate capture of discontinuities in the solution gradient along …
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Multiscale modeling of rate dependence and size effects on nanocrystalline metallic thin films
… element discretization combines triangular or tetrahedral elements to model the volumetric response of individual grains, with interfacial cohesive elements used to capture the response of the grain boundaries. The two grain-level deformation mechanisms incorporated in the multiscale method are …
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Performance of microstructural finite element models in predicting the effective modulus of trabecular bone
… bone, namely the voxel-based method, uses solid tetrahedral elements, which are extremely resource intensive. Vanderoost, et al [2] developed an alternative Finite Element code which discretises the structure into a series of beams and shells. This beam-shell approach vastly reduces the size of …
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Simulations of deformations and fracture of biological materials
… tissue deformations accurately using first-order tetrahedral elements in a relatively short time by optimizing the element size. Such simulations can provide force feedback during robotic surgery and allow visualization of tissue deformations for surgery planning and training of surgical …
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Machine learning and interactive real-time simulation for training on relevant total hip replacement skills.
… over 5000 frames for plastic deformations on tetrahedral meshes with 20406 elements each. We selected XFEM simulation as the physically-based deformation ground-truth given its accuracy and fast convergence to represent cuts, discontinuities and large strain rates. Our machine learning-based …
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Efficient Finite Element Electromagnetic Analysis for High-Frequency/High-Speed Circuits And Multiconductor Transmission Lines
… field solver with high-order vector elements for high-frequency and high-speed circuit simulations. The solver supports wave port and lumped port excitations as well as the incorporation of lumped networks and circuit models in a distributed finite element model. An adaptive …