• Title/Summary/Keyword: Finite Element Mesh

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Development of a new method for improving finite element solutions by placing nodes arbitrarily (임의의 절점 추가로 개선된 유한요소해를 얻는 새로운 방법의 개발)

  • Kim, Hye-Yeong;Kim, Hyun-Gyu
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.674-677
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    • 2008
  • An advanced computational strategy for improvement of the accuracy of the structural analysis is developed in this paper. The finite elements connecting the primary nodes are constructed as a ground mesh in a domain, and the secondary nodes can be placed arbitrarily without reconstruction of a mesh. The support domains of the secondary nodes are defined on the basis of finite element mesh, and the shape functions are constructed by using MLS(moving least square) approximations. The present method is useful for controlling the errors without reconstruction of mesh when you add or remove nodes in a domain.

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A Study on the Voxel Mesh Technique for Finite Element Modeling of Human Bone (인체 골(bone)의 유한요소 모델링을 위한 VOXEL MESH 기법에 관한 연구)

  • 변창환;오택열;백승민;채경덕
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.1081-1084
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    • 2002
  • In this study, we perform 3-D reconstruction of human proximal femur from DICOM files by using voxel mesh algorithm. After 3-D reconstruction, the model converted to Finite Element model which developed for automatically making not only 3-D geometrical model but also FE model from medical image dataset. During this job, trabecular pattern, one of characteristic of human bone can be added to the model by means of giving it's own elastic property calculated from intensity in CT scanned image to the each voxel. And then another model is made from same image dataset which have two material properties - one corresponds to cortical bone, another to trabecular bone. Finally, validity of voxel mesh technique is verified through comparing results of FE analysis, free vibration and stress analysis.

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An Effective Mesh Smoothing Technique for the Mesh Constructed by the Mesh Compression Technique (격자압축법을 이용하여 구성된 격자의 효과적인 격자유연화 방법)

  • 홍진태;이석렬;양동열
    • Transactions of Materials Processing
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    • v.12 no.4
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    • pp.340-347
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    • 2003
  • In the rigid-plastic finite element simulation of hot forging processes using hexahedral mesh, remeshing of a flash is important for design and control of the process to obtain desirable defect-free products. The mesh compression method is a remeshing technique which enables the construction of an effective hexahedral mesh in the flash. However, because the mesh is distorted during the compression procedure of the mesh compression method, when it is used in resuming the analysis, it causes discretization error and decreases the conversance rate. Therefore, mesh smoothing is necessary to improve the mesh quality. In this study, several geometric mesh smoothing techniques and optimization techniques are introduced and modified to improve mesh quality. Then, the most adaptive technique is recommended for the mesh compression method.

Adaptive finite element wind analysis with mesh refinement and recovery

  • Choi, Chang-Koon;Yu, Won-Jin
    • Wind and Structures
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    • v.1 no.1
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    • pp.111-125
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    • 1998
  • This paper deals with the development of variable-node element and its application to the adaptive h-version mesh refinement-recovery for the incompressible viscous flow analysis. The element which has variable mid-side nodes can be used in generating the transition zone between the refined and unrefined element and efficiently used for the construction of a refined mesh without generating distorted elements. A modified Guassian quadrature is needed to evaluate the element matrices due to the discontinuity of derivatives of the shape functions used for the element. The penalty function method which can reduce the number of the independent variables is adopted for the purpose of computational efficiency and the selective reduced integration is carried out for the convection and pressure terms to preserve the stability of solution. For the economical analysis of transient problems in which the locations to be refined are changed in accordance with the dynamic distribution of velocity gradient, not only the mesh refinement but also the mesh recovery is needed. The numerical examples show that the optimal mesh for the finite element analysis of a wind around the structures can be obtained automatically by the proposed scheme.

Efficient Adaptive Finite Element Mesh Generation for Dynamics (동적 문제에 효율적인 적응적 유한요소망)

  • Yoon, Chongyul
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.26 no.5
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    • pp.385-392
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    • 2013
  • The finite element method has become the most widely used method of structural analysis and recently, the method has often been applied to complex dynamic and nonlinear structural analyses problems. Even for these complex problems, where the responses are hard to predict, finite element analyses yield reliable results if appropriate element types and meshes are used. However, the dynamic and nonlinear behaviors of a structure often include large deformations in various portions of the structure and if the same mesh is used throughout the analysis, some elements may deform to shapes beyond the reliable limits; thus dynamically adapting finite element meshes are needed in order for the finite element analyses to be accurate. In addition, to satisfy the users requirement of quick real run time of finite element programs, the algorithms must be computationally efficient. This paper presents an adaptive finite element mesh generation scheme for dynamic analyses of structures that may adapt at each time step. Representative strain values are used for error estimates and combinations of the h-method(node movement) and the r-method(element division) are used for mesh refinements. A coefficient that depends on the shape of an element is used to limit overly distorted elements. A simple frame example shows the accuracy and computational efficiency of the scheme. The aim of the study is to outline the adaptive scheme and to demonstrate the potential use in general finite element analyses of dynamic and nonlinear structural problems commonly encountered.

A Study on Adaptive Mesh Generation for the Finite Element Method using h-Method (h-법에 의한 순응형 유한요소 재분할에 관한 연구)

  • 장창두;김병일
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1992.04a
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    • pp.39-44
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    • 1992
  • This paper proposes a method of h-type adaptive mesh generation for the finite element analysis of two dimensional elasticity problem. The error energy norm of a posteriori error estimation is difined based on the complementary energy of each element. Computer codes are developed and some examples are investigated. It is shown that the approach to the optimized mesh in this paper is effective and useful.

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An Adaptive Finite Element Method for Magnetostatic Force Computations (정자력 계산을 위한 적응 유한 요소법)

  • 박용규;박일한;정형석;정현교;이기식;한송엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.2
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    • pp.100-105
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    • 1989
  • This paper presents an adaptive finite element method for magnetostatic force computation using Maxwell's stress tensor. Mesh refinements are performed automatically by interelement magnetic field intensity discontinuity errors and element force errors. In initial mesh, the computed forces for different integration paths give great differences, but converge to a certain value as mesh division is performed by the adaptive scheme, We obtained good agreement between analytic solutions and numerical values in typical examples.

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A New Remeshing Technique of Tetrahedral Elements by Redistribution of Nodes in Subdomains and its Application to the Finite Element Analysis (영역별 절점 재분포를 통한 사면체 격자 재구성 방법 및 유한요소해석에의 적용)

  • Hong J.T.;Lee S.R.;Yang D.Y.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.607-610
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    • 2005
  • A remeshing algorithm using tetrahedral elements has been developed, which is adapted to the mesh density map constructed by a posteriori error estimation. In the finite element analyses of metal forging processes, numerical error increases as deformation proceeds due to severe distortion of elements. In order to reduce the numerical error, the desired mesh sizes in each region of the workpiece are calculated by a posteriori error estimation and the density map is constructed. Piecewise density functions are then constructed with the radial basis function in order to interpolate the discrete data of the density map. The sample mesh is constructed based on the point insertion technique which is adapted to the density function and the mesh size is controlled by moving and deleting nodes to obtain optimal distribution according to the mesh density function and the quality optimization function as well. After finishing the redistribution process of nodes, a tetrahedral mesh is constructed with the redistributed nodes, which is adapted to the density map and resulting in good mesh quality. A goodness and adaptability of the constructed mesh is verified with a testing measure. The proposed remeshing technique is applied to the finite element analyses of forging processes.

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Three Dimensional Finite Element Inverse Analysis of Rectangular Cup and S-Rail Forming Processes using a Direct Mesh Mapping Method (직접 격자 사상법을 이용한 직사각컵 및 S-Rail 성형공정의 3차원 유한요소 역해석)

  • Kim S. H.;Huh H.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2001.10a
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    • pp.81-84
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    • 2001
  • An inverse finite element approach is employed for more capability to design the optimum blank shape from the desired final shape with small amount of computation time and effort. In some drawing or stamping simulation with inverse method, it is difficult to apply inverse scheme due to the large aspect ratio or steep vertical angle of inclination. The reason is that initial guesses are hard to make out with present method for those cases. In this paper, a direct mesh marring scheme to generate initial guess on the sliding constraint surface described by finite element patches is suggested for one step inverse analysis to calculate initial blank shape. Radial type mapping is adopted for the simulation of rectangular cup drawing process with large aspect ratio and parallel type mapping for the simulation of S-Rail forming process with steep vertical angle of inclination.

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Numerical Analysis for Prediction of Fatigue Crack Opening Level

  • Choi, Hyeon Chang
    • Journal of Mechanical Science and Technology
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    • v.18 no.11
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    • pp.1989-1995
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    • 2004
  • Finite element analysis(FEA) is the most popular numerical method to simulate plasticity-induced fatigue crack closure and can predict fatigue crack closure behavior. Finite element analysis under plane stress state using 4-node isoparametric elements is performed to investigate the detailed closure behavior of fatigue cracks and the numerical results are compared with experimental results. The mesh of constant size elements on the crack surface can not correctly predict the opening level for fatigue crack as shown in the previous works. The crack opening behavior for the size mesh with a linear change shows almost flat stress level after a crack tip has passed by the monotonic plastic zone. The prediction of crack opening level presents a good agreement with published experimental data regardless of stress ratios, which are using the mesh of the elements that are in proportion to the reversed plastic zone size considering the opening stress intensity factors. Numerical interpolation results of finite element analysis can precisely predict the crack opening level. This method shows a good agreement with the experimental data regardless of the stress ratios and kinds of materials.