• Title/Summary/Keyword: Tetrahedral Element

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Sensitivity analysis for finite element modeling of humeral bone and cartilage

  • Bola, Ana M.;Ramos, A.;Simoes, J.A
    • Biomaterials and Biomechanics in Bioengineering
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    • v.3 no.2
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    • pp.71-84
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    • 2016
  • The finite element method is wide used in simulation in the biomechanical structures, but a lack of studies concerning finite element mesh quality in biomechanics is a reality. The present study intends to analyze the importance of the mesh quality in the finite element model results from humeral structure. A sensitivity analysis of finite element models (FEM) is presented for the humeral bone and cartilage structures. The geometry of bone and cartilage was acquired from CT scan and geometry reconstructed. The study includes 54 models from same bone geometry, with different mesh densities, constructed with tetrahedral linear elements. A finite element simulation representing the glenohumeral-joint reaction force applied on the humerus during $90^{\circ}$ abduction, with external load as the critical condition. Results from the finite element models suggest a mesh with 1.5 mm, 0.8 mm and 0.6 mm as suitable mesh sizes for cortical bone, trabecular bone and humeral cartilage, respectively. Relatively to the higher minimum principal strains are located at the proximal humerus diaphysis, and its highest value is found at the trabecular bone neck. The present study indicates the minimum mesh size in the finite element analyses in humeral structure. The cortical and trabecular bone, as well as cartilage, may not be correctly represented by meshes of the same size. The strain results presented the critical regions during the $90^{\circ}$ abduction.

Development of the Fuzzy-Based System for Stress Intensity Factor Analysis

  • Lee, Joon--Seong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.3
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    • pp.255-260
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    • 2002
  • This paper describes a fuzzy-based system for analyzing the stress intensity factors (SIFs) of three-dimensional (3D) cracks. A geometry model, i.e. a solid containing one or several 3D cracks is defined. Several distributions of local node density are chosen, and then automatically superposed on one another over the geometry model by using the fuzzy knowledge processing. Nodes are generated by the bucketing method, and ten-coded quadratic tetrahedral solid elements are generated by the Delaunay triangulation techniques. The singular elements such that the mid-point nodes near crack front are shifted at the quarter-points, and these are automatically placed along the 3D crack front. The complete finite element(FE) model is generated, and a stress analysis is performed. The SIFs are calculated using the displacement extrapolation method. To demonstrate practical performances of the present system, semi-elliptical surface cracks in a inhomogeneous plate subjected to uniform tension are solved.

Three Dimensional Finite Element Analysis of Filling Stage in Casting Process Using Adaptive Grid Refinement Technique (3차원 적응 격자 세분화를 이용한 주조 공정의 충전 해석)

  • Kim Ki Don;Jeong Jun Ho;Yang Dong Yol
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.29 no.5 s.236
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    • pp.568-576
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    • 2005
  • A 3-D finite element model combined with a volume tracking method is presented in this work to simulate the mold filling for casting processes. Especially, the analysis involves an adaptive grid method that is created under a criterion of element categorization of filling states and locations in the total region at each time step. By using an adaptive grid wherein the elements, finer than those in internal and external regions, are distributed at the surface region through refinement and coarsening procedures, a more efficient analysis of transient fluid flow with free surface is achieved. Adaptive grid based on VOF method is developed in tetrahedral element system. Through a 3-D analysis of the benchmark test of the casting process, the efficiency of the proposed adaptive grid method is verified. Developed FE code is applied to a typical industrial part of the casting process such as aluminum road wheel.

Numerical and Experimental Study on Spring Back in Automatic Multi-Stage Precision Cold Forging Process of a Steering Yoke (조향장치용 요크 자동다단 정밀냉간단조 공정에서 발생하는 스프링백의 수치적 및 실험적 검증)

  • Kim, K.M.;Kim, M.C.;Hwang, T.M.;Chung, S.H.;Chung, W.J.;Joun, M.S.
    • Transactions of Materials Processing
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    • v.28 no.3
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    • pp.115-122
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    • 2019
  • In this paper, finite element analysis of an automatic five-stage precision cold forging process of a yoke, a steering part of a passenger's car, is conducted with emphasis on spring back analysis at the yoke-forming stage and its experimental verification is subsequently made. An elastoplastic finite element method with MINI-element technique employed for the analysis of the entire process is explained. There is emphasis that the thin film of material formed between the punch and die in the stage may result to some errors especially in elastoplastic finite element analysis of spring back due to frequent remeshing. The numerical robustness of the spring back analysis in regards to remeshing is hence shown first through investigation into its effect on the predicted spring back. Experimental measurement of displacement due to spring back is carried out for comparison with the predicted results, and they are in a qualitative agreement with each other.

Energy Flow Finite Element Analysis for High Frequency Acoustic and Vibrational Prediction of Complicated Plate Structures Considering Fluid-Structure Interaction (복합평판구조물의 고주파수 대역 유체/구조 연성 소음진동예측을 위한 에너지흐름유한요소해석)

  • Tae-Heum Yoon;Young-Ho Park
    • Journal of the Society of Naval Architects of Korea
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    • v.60 no.1
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    • pp.20-30
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    • 2023
  • In this paper, the Energy Flow Finite Element Analysis (EFFEA) was performed to predict the acoustic and vibrational responses of complicated plate structures considering improved Fluid-Structure Interaction (FSI). For this, a new power transfer relationship was derived at the area junction where two different fluids are in contact on both sides of the plate. In order to increase the reliability of EFFEA of complicated plate structures immersed in a high-density fluid, the corrected flexural wavenumber and group velocity considering fluid-loading effect were derived. As the specific acoustic impedance of the fluid in contact with the plate increases, the flexural wavenumber of the plate increases. As a result, the flexural group velocity is reduced, and the spatial damping effect of the flexural energy density is increased. Additionally, for the EFFEA of arbitary-shaped built-up structures, the energy flow finite element formulation for the acoustic tetrahedral element was newly performed. Finally, for validation of the derived theory and developed software, numerical applications of complicated plate structures submerged in seawater or air were successfully performed.

On Quality Triangulation in Three-Dimensional Space (삼차원 공간상에서의 질적인 삼각화에 관한 연구)

  • Park, Joon-Young
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.1
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    • pp.215-222
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    • 1997
  • This paper deals with the problem of generating a uniform tetrahedral mesh which fills a 3-D space with the tetrahedra which are close to the equilateral tetrahedra as possible. This problem is particularly interesting in finite element modeling where a fat triangulation minimizes the error of an analysis. Fat triangulation is defined as a scheme for generating an equilateral triangulation as possible in a given dimension. In finite element modeling, there are many algorithms for generating a mesh in 2-D and 3-D. One of the difficulties in generating a mesh in 3-D is that a 3-D object can not be filled with uniform equilateral tetrahedra only regardless of the shape of the boundary. Fat triangulation in 3-D has been proved to be the one which fills a 3-D space with the tetrahedra which are close to the equilateral as possible. Topological and geometrical properties of the fat triangulation and its application to meshing algorithm are investigated.

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Automated Adaptive Tetrahedral Element Generation for Three-Dimensional Metal Forming Simulation (삼차원 소성가공 공정 시뮬레이션을 위한 지능형 사면체 요소망 자동생성)

  • Lee M.C.;Joun M.S.
    • Transactions of Materials Processing
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    • v.15 no.3 s.84
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    • pp.189-194
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    • 2006
  • In this paper, an automated adaptive mesh generation scheme, based on an advancing-front-Delaunay method, is presented fur finite element simulation of three dimensional bulk metal farming processes. Basic approach is introduced in detail, including a surface meshing and volume meshing technique and a mesh density control scheme. The presented approach is applied to automatic forging simulation in order to evaluate the effect of the developed schemes. Comparison shows a good agreement between required mesh density and generated mesh density, implying that the presented approach is appropriate for automatic mesh generation in metal forming simulation.

Automatic 3-Dimensional Mixed Mesh Generation by Using an Advancing Front Method (전진경계법을 이용한 삼차원 혼합요소망 자동생성)

  • Han J.N.;Chae S.W.;Kwon K.Y.;Lee B.C.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.419-420
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    • 2006
  • This paper deals with a hex-dominant mesh generation using an advancing front method for three-dimensional geometries. Hexahedral and prismatic meshes are generated inwardly by offsetting from initial boundary mesh. When the meshes intersect with each other after offsetting, overlapped meshes are improved by node relocation method. In order to generate conforming mesh, pyramid elements are inserted between hexahedral and tetrahedral elements. Sample meshes fur several geometries are presented and analized to demonstrate the effectiveness of the proposed algorithm.

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Finite Element Analysis of a Roll Piercing Process Equipped with Diecher's Guiding Discs (원형디스크 지지 방식의 롤피어싱 공정의 유한요소해석)

  • Shim, S.H.;Cho, J.M.;Lee, M.C.;Joun, M.S.
    • Transactions of Materials Processing
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    • v.21 no.1
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    • pp.19-23
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    • 2012
  • In this paper, a Mannesmann roll piercing process equipped with Diecher's guiding discs is investigated using a rigid-thermoviscoplastic finite elements method with intelligent remeshing capability and tetrahedral elements. The analysis model is presented and the approach is applied to a Mannesmann roll piercing process found in the literature. Details about the remeshing criterion as well as mesh density control are given. The present predictions are compared with the predictions found in the literature, showing that the two predictions are in close agreement in terms of the deformed shape. However, it is emphasized that the present approach has the distinct strength in predicting details of final shape.