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A Large Scale Comparison of Tetrahedral and Hexahedral Elements for Finite Element Analysis [article]

Teseo Schneider, Yixin Hu, Xifeng Gao, Jeremie Dumas, Denis Zorin, Daniele Panozzo
2019 arXiv   pre-print
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

Logah Perumal
2016 Mathematical Problems in Engineering  
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

Guen-An Lee, Dae-Young Kwak, Soo-Young Kim, Yong-Taek Im
2002 International Journal of Mechanical Sciences  
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

Jason F. Shepherd, Mark W. Dewey, Adam C. Woodbury, Steven E. Benzley, Matthew L. Staten, Steven J. Owen
2010 Finite elements in analysis and design  
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

D.L. Chopp, N. Sukumar
2003 International Journal of Engineering Science  
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]

Karen Abrinia, Sakineh Orangi
2010 Finite Element Analysis  
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

Colleen M Roarty, Nicole M Grosland
2004 The Iowa Orthopaedic Journal  
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

Desai Chen, David I. W. Levin, Shinjiro Sueda, Wojciech Matusik
2015 ACM Transactions on Graphics  
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

Sverre Magnus Haakonsen, Steinar Hillersøy Dyvik, Marcin Luczkowski, Anders Rønnquist
2022 Applied Sciences  
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

Dae-Young Kwak, Yong-Taek Im
2002 International Journal for Numerical Methods in Engineering  
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

B P Naganarayana, G Prathap
1992 Sadhana (Bangalore)  
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]

Hou Man and Chongmin Song and Sundararajan Natarajan and Ean Tat Ooi and Carlin Birk
2014 arXiv   pre-print
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]

Wing Kam Liu, Shaofan Li, Harold Park
2021 arXiv   pre-print
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

Leonid V. Tsap, Dmitry B. Goldgof, Sudeep Sarkar, Wen-Chen Huang
1998 Computer Vision and Image Understanding  
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

G. Legrain, C. Geuzaine, J.F. Remacle, N. Moës, P. Cresta, J. Gaudin
2013 Finite elements in analysis and design  
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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