• Title/Summary/Keyword: 3D Finite Element Method

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Metal forming analysis using meshfree-enriched finite element method and mortar contact algorithm

  • Hu, Wei;Wu, C.T.
    • Interaction and multiscale mechanics
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    • v.6 no.2
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    • pp.237-255
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    • 2013
  • In this paper, a meshfree-enriched finite element method (ME-FEM) is introduced for the large deformation analysis of nonlinear path-dependent problems involving contact. In linear ME-FEM, the element formulation is established by introducing a meshfree convex approximation into the linear triangular element in 2D and linear tetrahedron element in 3D along with an enriched meshfree node. In nonlinear formulation, the area-weighted smoothing scheme for deformation gradient is then developed in conjunction with the meshfree-enriched element interpolation functions to yield a discrete divergence-free property at the integration points, which is essential to enhance the stress calculation in the stage of plastic deformation. A modified variational formulation using the smoothed deformation gradient is developed for path-dependent material analysis. In the industrial metal forming problems, the mortar contact algorithm is implemented in the explicit formulation. Since the meshfree-enriched element shape functions are constructed using the meshfree convex approximation, they pose the desired Kronecker-delta property at the element edge thus requires no special treatments in the enforcement of essential boundary condition as well as the contact conditions. As a result, this approach can be easily incorporated into a conventional displacement-based finite element code. Two elasto-plastic problems are studied and the numerical results indicated that ME-FEM is capable of delivering a volumetric locking-free and pressure oscillation-free solutions for the large deformation problems in metal forming analysis.

Flux Linkage Calculation for 3-D Finite Element Analysis

  • Im, Chang-Hwan;Jung, Hyun-Kyo;Kim, Hong-Kyu
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.12B no.1
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    • pp.13-18
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    • 2002
  • Novel method to calculate flux linkage for 3-D finite element analysis is proposed. It does not require any integral path if the current direction in a coil is known. The flux linkage can be calculated very easily using simple volume based integration. The current direction is calculated based on the recently developed technique by the authors. The novel method for flux linkage calculation is verified by applying to a very complicated deflection yoke coil. The simulation result is compared to the experimental one. From the simulation, it is shown that the proposed method is very accurate and effective to calculate the flux linkage of a coil.

The characteristic analysis of contact-less Power supply by 3D finite element method

  • Park, Han-Seok;Cho, Yun-Hyun;Jung, Hong-Sub;Woo, Kyung-il;Kim, Kyung-Ho
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.1
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    • pp.145-151
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    • 2004
  • This paper proposes the calculation method of magnetic coupling coefficient of contact-less power supply by the 3D finite element method with a variation of the secondary core position. The primary, secondary self and leakage inductances and the capacitances of a resonant circuit are calculated by the finite element analysis results. The magnetic coupling coefficients are obtained also. The power factors are obtained by simulation for the magnetic coupling coefficients and compared.

Three-Dimensional Finite Element Analysis for Extrusion of the Underframe of a Railroad Vehicle (철도차량 마루부재 압출공정의 3 차원 유한요소해석)

  • Park K.;Lee Y. K.;Yang D. Y.;Lee D. H.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.05a
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    • pp.5-8
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    • 1999
  • The present work is concerned with three-dimensional finite element analysis of the hollow section extrusion process using a porthole die. For economic computation, mismatching refinement, an efficient domain decomposition method with different mesh density for each subdomain, is implemented. The proposed method improves the computational efficiency significantly, especially fur the three-dimensional analysis of extrusion problems. As a numerical example, extrusion of the underframe part of a railroad vehicle are analyzed. For three-dimensional mesh generation of a complicated shape with hexahedral elements, a modified grid-based approach with the surface element layer is utilized. The analysis results are then successfully reflected on the industrial porthole die design.

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An Analysis of Flat DMT Penetration Based on a Large strain Formulation (대변형을 고려한 flat DMT의 3차원 관입 해석)

  • Byeon, Wi-Yong;Lee, Seung-Rae
    • Journal of the Korean Geotechnical Society
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    • v.23 no.1
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    • pp.67-76
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    • 2007
  • Flat DMT penetration was analyzed using a finite element model based on a large strain formulation. The ABAQUS/Explicit, a commercial finite element method, was used to study the flat DMT penetration in soils. Then, because the very large mesh distortion occurred due to the penetration of flat DMT, the adaptive meshing technique was utilized to maintain a high quality mesh configuration. The undrained shear strength obtained from the flat DMT is estimated using only the horizontal stress index ($K_{D}$) and so it became necessary to examine using the analysis results obtained from the penetration of the flat DMT. Analysis results show that in normally consolidated region of $K_{D}=2$, the results obtained from the correlations proposed by Marchetti show good agreement with those estimated from the finite element method. The present analysis also shows that in overconsolidated region of $K_{D}>2$, the results obtained from the relationships proposed by Kamei and Iwasaki show good agreement with those provided by the penetration analysis.

Multi-stage Analysis of Elliptic Cup Drawing Processes with the Large Aspect Ratio by an Explicit Elasto-Plastic Finite Element Method (외연적 유한요소법을 이용한 세장비가 큰 타원형 컵 성형공정의 다단계 해석)

  • Kim, S.H.;Kim, S.H.;Huh, H.
    • Transactions of Materials Processing
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    • v.9 no.3
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    • pp.313-319
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    • 2000
  • Finite element analysis is carried out for simulation of the multi-stage elliptic cup drawing process with the large aspect ratio. The analysis incorporates with shell elements for an elasto-plastic finite element method with the explicit time integration scheme. For the simulation, LS-DYNA3D is utilized for its wide capability of solving forming problems. The simulation result shows that the non-uniform drawing ratio at the elliptic cross section ad the small shoulder radius cause failure such as tearing and wrinkling. The result suggests the guideline to modify the tool shape for prevention of the failure during the drawing process.

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Nonlocal integral elasticity analysis of beam bending by using finite element method

  • Taghizadeh, M.;Ovesy, H.R.;Ghannadpour, S.A.M.
    • Structural Engineering and Mechanics
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    • v.54 no.4
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    • pp.755-769
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    • 2015
  • In this study, a 2-D finite element formulation in the frame of nonlocal integral elasticity is presented. Subsequently, the bending problem of a nanobeam under different types of loadings and boundary conditions is solved based on classical beam theory and also 3-D elasticity theory using nonlocal finite elements (NL-FEM). The obtained results are compared with the analytical and numerical results of nonlocal differential elasticity. It is concluded that the classical beam theory and the nonlocal differential elasticity can separately lead to significant errors for the problem under consideration as distinct from 3-D elasticity and nonlocal integral elasticity respectively.

Eddy current loss analysis of permanent magnet using Finite Element Method (유한요소해석을 이용한 영구자석의 와전류 손실 해석)

  • Lee, Jeong-Jong;Jung, Jea-Woo;Lee, Sang-Ho;Kwon, Soon-O;Hong, Jung-Pyo
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.794-795
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    • 2008
  • In this paper, eddy current compensation method of 2D finite element method(FEM) is studied compared with 3D FEM. The result of eddy current loss of permeant magnet is different from 3D FEM result because current loop of the inside of permanent magnet can not expressed by 2D FEM. In order to reduce the error between 2D and 3D FEM, permanent magnet conductivity is compensated considering current loop of magnet shape according to length and width.

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Finite element analysis of RC beam-column joints with high-strength materials

  • Noguchi, H.;Kashiwazaki, T.
    • Structural Engineering and Mechanics
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    • v.5 no.5
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    • pp.625-634
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    • 1997
  • Reinforced concrete (RC) interior beam-column joints with high-strength materials: concrete compressive strength of 100 MPa and the yield strength of longitudinal bars of 685 MPa, were analyzed using three-dimensional (3-D) nonlinear finite element method (FEM). Specimen OKJ3 of joint shear failure type was a plane interior joint, and Specimen 12 of beam flexural failure type was a 3-D interior joint with transverse beams. Though the analytical initial stiffness was higher than experimental one, the analytical results gave a good agreement with the test results on the maximum story shear forces, the failure mode.

Finite Element Analysis of 3-D Eddy Current Problems using A-$\phi$ (A-$\phi$를 이용한 3차원 와전류 문제의 유한요소 해석)

  • Hong, Sung-Pyo;Hahn, Song-Yop
    • Proceedings of the KIEE Conference
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    • 1989.11a
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    • pp.41-44
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    • 1989
  • This paper describes an analysis of the three-dimensional eddy current problems by the finite element method using magnetic vector potential and electric scalar potential. The finite element formulation uses first-order shape functions and tetrahedral elements. The validity of this formalation is ensured as the result of the sphere conductor model problem in a sinusoidal magnetic field.

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