• Title/Summary/Keyword: finite element mesh

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A NOTE ON A FINITE ELEMENT METHOD DEALING WITH CORNER SINGULARITIES

  • Kim, Seok-Chan;Woo, Gyung-Soo;Park, Tae-Hoon
    • Journal of applied mathematics & informatics
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    • v.7 no.2
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    • pp.493-506
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    • 2000
  • Recently the first author and his coworker report a new finite element method for the Poisson equations with homogeneous Dirichlet boundary conditions on a polygonal domain with one re-entrant angle [7], They use the well-known fact that the solution of such problem has a singular representation, deduced a well-posed new variational problem for a regular part of solution and an extraction formula for the so-called stress intensity factor using tow cut-off functions. They use Fredholm alternative an Garding's inequality to establish the well-posedness of the variational problem and finite element approximation, so there is a maximum bound for mesh h theoretically. although the numerical experiments shows the convergence for every reasonable h with reasonable size y imposing a restriction to the support of the extra cut-off function without using Garding's inequality. We also give error analysis with similar results.

Transient Dynamic Analysis of a Patterned Tire Rolling over a Cleat with an Explicit Finite Element Program (외연적 유한요소법을 이용한 패턴 타이어에 대한 돌기물 통과시의 동적 특성 해석)

  • 김기운;정현성;범현규
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.6
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    • pp.164-170
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    • 2003
  • The finite element analysis of tires has been conventionally performed by either neglecting tread pattern or modeling only circumferential grooves. Besides, the tire analysis has been mainly limited to static or steady state rolling analysis. In this paper, a transient dynamic analysis of a patterned tire rolling over a cleat with an explicit finite element program is presented. The patterned tire with detailed tread blocks is modeled by a systematic mesh generation procedure, in which tire body and tread pattern meshes are separately generated in the beginning and then both meshes are combined by the tie constraint method. The cleat impact analysis is conducted by using both the patterned tire and the smooth tire models to predict the cleat enveloping characteristics. It is seen that the analysis results of the patterned tire model are in a good agreement with the experimental results.

The elastoplastic formulation of polygonal element method based on triangular finite meshes

  • Cai, Yong-Chang;Zhu, He-Hua;Guo, Sheng-Yong
    • Structural Engineering and Mechanics
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    • v.30 no.1
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    • pp.119-129
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    • 2008
  • A small strain and elastoplastic formulation of Polygonal Element Method (PEM) is developed for efficient analysis of elastoplastic solids. In this work, the polygonal elements are constructed based on traditional triangular finite meshes. The construction method of polygonal mesh can directly utilize the sophisticated triangularization algorithm and reduce the difficulty in generating polygonal elements. The Wachspress rational finite element basis function is used to construct the approximations of polygonal elements. The incremental variational form and a von Mises type model are used for non-linear elastoplastic analysis. Several small strain elastoplastic numerical examples are presented to verify the advantages and the accuracy of the numerical formulation.

Nonlinear Finite Element Analysis of Reinforced Concrete Structures Considering the Crack and Bond-Slip Effects (균열 및 부착슬립효과를 고려한 철근콘크리트 구조물의 비선형 유한요소해석)

  • 곽효경
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1992.04a
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    • pp.65-70
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    • 1992
  • This study deals with the finite element analysis of the monotonic behavior of reinforced concrete beams and beam-column joint subassemblages. It is assumed that the behavior of these members can be discribed by a plane stress field. Concrete and reinforcing steel are represented by separate material models which are combined together with a model of the interaction between reinforcing bar and concrete through bond-slip to discribe the behavior of the composite reinforced concrete material. To discribe the concrete behavior, a nonlinear orthotropic model is adopted and the crack is discribed by a system of orthogonal cracks, which are rotating as the principal strain directions are changed. A smeared finite element model based on the fracture mechanics principles are used to overcome the numerical defect according to the finite element mesh size. Finally, correlation studies between analytical and experimental results and several parameter studies are conducted with the objective to estabilish the validity of the proposed model and identify the significance of various effects on the local and global response of reinforced concrete members.

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Finite Element Analysis of Transient Viscous Flow with Free Surface using Filling Pattern Technique (형상 충전 기법을 이용한 자유표면의 비정상 점성 유동장의 유한 요소 해석)

  • Kim, Ki-Don;Jeong, Jun-Ho;Yang, Dong-Yol
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.551-556
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    • 2001
  • The filling pattern technique based on the finite element method and Eulerian mesh advancement approach has been developed to analyze incompressible transient viscous flow with free surfaces. The governing equation for flow analysis is Navier-Stokes equation including inertia and gravity effects. The penalty and predictor-corrector methods are used effectively for finite element formulation. The flow front surface and the volume inflow rate are calculated using the filling pattern technique to select an adequate pattern among four filling patterns at each triangular control volume. Using the proposed numerical technique, the collapse of a dam has been analyzed to predict flow phenomenon of fluid and the predicted front positions versus time have been compared with the reported experimental result.

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Finite Element Analysis of Manufacturing Process of a 12 Point Flange Head Bolt with Emphasis on Thread Rolling Process (나사전조공정을 중시한 12각플랜지볼트의 나사제조공정의 유한요소해석)

  • Jang, S.J.;Lee, M.C.;Shim, S.H.;Son, Y.H.;Yoon, D.J.;Joun, M.S.
    • Transactions of Materials Processing
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    • v.19 no.4
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    • pp.248-252
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    • 2010
  • In this paper, three-dimensional finite element analysis of thread rolling process of a 12 point flange head bolt is conducted using a rigid-plastic finite element method based metal forming simulator AFDEX 3D. A whole sequence of cold forming processes of a long shaft bolt composed of four forging stages and final thread rolling process is simulated to reveal the mechanism of thread formation. A mesh density control function is applied near the major plastic deformation region to achieve computational efficiency. It has been shown both numerically and experimentally that longitudinal lengthening or shortening is negligible in thread rolling.

A Study on Vibration Analysis Method Using the Global Structural Analysis Model (전선 구조해석 모델을 이용한 진동해석 방법에 관한 연구)

  • Park, Hyung-Sik;Choi, Su-Hyun;Lee, Yong-Sub
    • Journal of the Society of Naval Architects of Korea
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    • v.44 no.3 s.153
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    • pp.314-322
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    • 2007
  • In general, the vibration and structural analyses have been carried out by using each finite element model separately because of different size of finite element mesh and different focusing area of each analysis. In some cases, however, it is required to perform both global vibration and structural analyses at the same time using a finite element model for global structural analysis, which asks for a special treatment for a vibration analysis. In this study, a technique to perform a global vibration analysis using a finite element model for a global structural analysis has been developed and its effectiveness has been verified by its application to a whole ship.

Information Modeling for Finite Element Analysis Using STEP (STEP을 이용한 유한요소해석 정보모델 구축)

  • Choi, Young;Cho, Seong-Wook;Kwon, Ki-Eak
    • Korean Journal of Computational Design and Engineering
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    • v.3 no.1
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    • pp.48-56
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    • 1998
  • Finite element analysis is very important in the design and analysis of mechanical engineering. The process of FEA encompasses shape modeling, mesh generation, matrix solving and post-processing. Some of these processes can be tightly integrated with the current software architectures and data sharing mode. However, complete integration of all the FEA process itself and the integration to the manufacturing processes is almost impossible in the current practice. The barriers to this problem are inconsistent data format and the enterprise-wise software integration technology. In this research, the information model based on STEP AP209 was chosen for handling finite element analysis data. The international standard for the FEA data can bridge the gap between design, analysis and manufacturing processes. The STEP-based FEA system can be further tightly integrated to the distributed software and database environment using CORBA technology. The prototype FEA system DICESS is implemented to verify the proposed concepts.

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Three-Dimensional Rigid-Plastic Finite Element Analysis of Nonsteady State Shaped Drawing Process (비정상상태 이형재 인발공정의 3차원 강소성 유한요소해석)

  • Kim, Ho-Chang;Choi, Young;Kim, Byung-Min
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.7
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    • pp.119-128
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    • 1998
  • In this paper, nonsteady state shaped drawing process has been investigated using the three-dimensional rigid-plastic finite element method. In order to analyze the shaped drawing process, a method to define straight converging die considering straight die part, die radius part and bearing part has been proposed. In addition, the modeling of initial billet and the generation procedure of mesh system have been suggested. The three-dimensional rigid-plastic finite element simulation has been performed for a square sectional drawing process and its result has been confirmed in comparison with the existing experimental one. Also, for the same process conditions, the effect of perimeter ratio in the shaped drawing process has been investigated.

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Automatic Mesh Generation System for FE Analysis of 3D Crack (3차원 균열의 유한요소해석을 위한 자동요소분할 시스템)

  • Lee, Ho-Jeong;Lee, Joon-Seong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.9
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    • pp.2183-2188
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    • 2009
  • This paper describes an automatic mesh generation system for finite element analysis of three-dimensional cracks. It is consisting of fuzzy knowledge processing, bubble meshing and solid geometry modeler. This novel mesh generation process consists of three sub-processes: (a) definition of geometric model, i.e. analysis model, (b) generation of bubbles, and (c) generation of elements. One of commercial solid modelers is employed for three-dimensional crack structures. Bubble is generated if its distance from existing bubble points is similar to the bubble spacing function at the point. The bubble spacing function is well controlled by the fuzzy knowledge processing. The Delaunay method is introduced as a basic tool for element generation. Practical performances of the present system are demonstrated through several mesh generations for 3D cracks.