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A Large Scale Comparison of Tetrahedral and Hexahedral Elements for Finite Element Analysis
[article]
2019
arXiv
pre-print
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We introduce a set of benchmark problems, starting from simple cases with an analytical solution, moving to commonly used test problem setups, and finally fabricating solutions for thousands of real-world ...
The Finite Element Method (FEM) is widely used to solve discrete Partial Differential Equations (PDEs) in engineering applications. ...
is the same domain as 1 × 20 remeshed with optimized element
aspect ratio. The results P1? and P2? ...
arXiv:1903.09332v2
fatcat:ikoc2la6jrcufmo773zjl4jhpu
A Novel Virtual Node Hexahedral Element with Exact Integration and Octree Meshing
2016
Mathematical Problems in Engineering
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The number of nodes for VHE elements is not restricted, as opposed to the conventional hexahedral elements. ...
Novel virtual node polyhedral elements (termed as VPHE) are developed here, particularly virtual node hexahedral element (termed as VHE). ...
MMUI/130070 and MMUI/160047, which enabled purchase of required software and equipment for this work. The author would also like to express sincere appreciation to Dr. Xu Hai Tang and Dr. ...
doi:10.1155/2016/3261391
fatcat:7vuissno6vafdaebk7biwvdgsq
Analysis and design of flat-die hot extrusion process 1. Three-dimensional finite element analysis
2002
International Journal of Mechanical Sciences
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Since severely deforming elements of the workpiece can easily interfere with the sharp edges of the at-die, an automatic remeshing module based on a simple section-sweeping scheme and new contact algorithm ...
With developed ÿnite element program, non-steady ÿnite element analyses of extrusion processes were carried out for two types of channel-section with constant bearing length of 5 mm. ...
A fully automatic hexahedral remeshing program was also developed with a simple section-sweeping scheme for reducing computation time. ...
doi:10.1016/s0020-7403(02)00029-2
fatcat:trlpd7tbxrflreivrlrv2j6adm
Adaptive mesh coarsening for quadrilateral and hexahedral meshes
2010
Finite elements in analysis and design
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In many applications involving quadrilateral and hexahedral meshes, local modifications which maintain the original element type are desired. ...
Mesh adaptation methods can improve the efficiency and accuracy of solutions to computational modeling problems. ...
Introduction Mesh adaptation methods can improve the efficiency and accuracy of solutions to computational modeling problems. ...
doi:10.1016/j.finel.2009.06.024
fatcat:lal3ccsktrcurelvjyei2rjw3e
Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method
2003
International Journal of Engineering Science
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In this paper, simulations for multiple planar cracks are presented, with crack merging and fatigue growth carried out without any userintervention or remeshing. ...
This enables the domain to be modeled by a single fixed finite element mesh with no explicit meshing of the crack surfaces. ...
In hexahedral elements associated with only the finite element shape functions, 2 × 2 × 2 quadrature is used, and in elements that also have enriched degrees of freedom, 6 × 6 × 6 quadrature is used. ...
doi:10.1016/s0020-7225(02)00322-1
fatcat:zhrb4rc3u5atzjbfog5fulzs6i
Numerical Study of Backward Extrusion Process Using Finite Element Method
[chapter]
2010
Finite Element Analysis
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Therefore, the special meshing techniques are required to analyse these problems. Adaptive meshing and remeshing or rezoning are two solutions to these problems. ...
In addition, hexahedral and quadrilateral elements have good convergence in comparison with tetrahedral and triangular ones. ...
doi:10.5772/10219
fatcat:v3nqjpappjemvlx7wybyunwaoa
Adaptive meshing technique applied to an orthopaedic finite element contact problem
2004
The Iowa Orthopaedic Journal
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Finite element methods have been applied extensively and with much success in the analysis of orthopaedic implants. ...
Recently a growing interest has developed, in the orthopaedic biomechanics community, in how numerical models can be constructed for the optimal solution of problems in contact mechanics. ...
Each scenario retains the hexahedral element type (as opposed to tetrahedral) preferable for contact problems. ...
pmid:15296201
pmcid:PMC1888414
fatcat:7uexgm6fjjeuhmtuoisdguomym
Data-driven finite elements for geometry and material design
2015
ACM Transactions on Graphics
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In this paper we introduce Data-Driven Finite Elements as a solution to this problem. ...
Figure 1 : Examples produced by our data-driven finite element method. Left: A bar with heterogeneous material arrangement is simulated 15x faster than its high-resolution counterpart. ...
Acknowledgements Thank you to the Anonymous Reviewers, Etienne Vouga, Maria Shugrina and Melina Skouras for helpful suggestions and James Thompkin for video assistance. ...
doi:10.1145/2766889
fatcat:x2ejkbntdranlpvx33engqdltm
A Grasshopper Plugin for Finite Element Analysis with Solid Elements and Its Application on Gridshell Nodes
2022
Applied Sciences
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A benchmark using the tool on a cantilever beam is compared with both ANSYS® and the theoretical solution, before the versatility of the tool is demonstrated by analyzing the metal part in timber gridshell ...
finite elements. ...
Moreover, the two students, Markus Aleksander Wulff and Brage Lund Aakre have provided invaluable support with their effort to enable second order elements, load application, and benchmark testing. ...
doi:10.3390/app12126037
fatcat:a4pf36kgiranplxo2jzdspylni
Remeshing for metal forming simulations?Part II: Three-dimensional hexahedral mesh generation
2002
International Journal for Numerical Methods in Engineering
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In order to investigate the applicability and e ectiveness of the developed hexahedral mesh generator, several three-dimensional metal forming simulations were carried out using uniformly sized hexahedral ...
In the present study, a hexahedral mesh generator was developed for remeshing in three-dimensional metal forming simulations. ...
Figure 27 shows four uniformly sized mesh systems with 574, 1088, 2179, and 4056 elements and two locally reÿned mesh systems with 1023 and 1099 elements obtained by remeshing. ...
doi:10.1002/nme.404
fatcat:mdykhaftofe4tcs4wzfofnwp2a
Expert systems and finite element structural analysis — a review
1992
Sadhana (Bangalore)
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A simple expert system, with a feasible knowledge base for problem modelling, optimal mesh design, type of analysis and solution routines, and diagnosis, is outlined . ...
the specified accuracy (e .g . initial mesh selection, adaptive mesh refinement), selection of the appropriate type of analysis and solution routines and, finally, diagnosis of the finite element solutions ...
For this purpose, a combination of knowledge-based expert system (KBEs) control and the automation of data generation and problem optimisation (e .g . adaptive mesh generation), with the computational ...
doi:10.1007/bf02812054
fatcat:5s7ukqhkq5fo3k52x6adp5mhni
Towards Automatic Stress Analysis using Scaled Boundary Finite Element Method with Quadtree Mesh of High-order Elements
[article]
2014
arXiv
pre-print
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This paper presents a technique for stress and fracture analysis by using the scaled boundary finite element method (SBFEM) with quadtree mesh of high-order elements. ...
Curved boundaries and cracks are modelled without excessive local refinement. Five numerical examples are presented to demonstrate the simplicity and applicability of the proposed technique. ...
Owing to its simplicity and applicability, Gupta's work was further extended by Mcdill et al. [20] and Lo
Node Hanging node Added node et al. [5] to hexahedral elements. Fries et al. ...
arXiv:1402.5186v1
fatcat:ajv7etvzubdk7pxnha3hnq5xm4
Eighty Years of the Finite Element Method: Birth, Evolution, and Future
[article]
2021
arXiv
pre-print
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In this paper, we present a historical perspective on the developments of finite element methods mainly focusing on its applications and related developments in solid and structural mechanics, with limited ...
Associated with the development of finite element methods has been the concurrent development of an engineering science discipline called computational mechanics, or computational science and engineering ...
Acknowledgements The authors would like to acknowledge the sources of some historic facts cited in this paper, which are taken from the following finite element history articles and books: ...
arXiv:2107.04960v1
fatcat:crqpxlved5gqnnycelxk35jrxm
Efficient Nonlinear Finite Element Modeling of Nonrigid Objects via Optimization of Mesh Models
1998
Computer Vision and Image Understanding
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Application of nonlinear FEM to nonrigid motion analysis has been restricted by difficulties with high computational complexity and noise sensitivity. ...
In this paper we propose a new general framework for the application of the nonlinear finite element method (FEM) to nonrigid motion analysis. ...
Xiaoyi Jiang and Dr. Horst Bunke at the Institute of Informatics and Applied Mathematics, University of Bern, Switzerland for providing the range images of deforming materials. ...
doi:10.1006/cviu.1998.0663
fatcat:q3k6vpq2rfbivfw6od3scplu5q
Numerical simulation of CAD thin structures using the eXtended Finite Element Method and Level Sets
2013
Finite elements in analysis and design
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Moreover, Finite Element analysis usually implies tedious meshing steps in the case of large and complex assemblies, with tedious and manual meshing steps. ...
The strategy is verified against analytical solutions and real aerospace substructures. ...
This illustrates the fact that tetrahedral elements are more sensitive to distortions than hexahedral elements. ...
doi:10.1016/j.finel.2013.08.007
fatcat:54436ra65zhmbisk3g6r2zye5q
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