• 제목/요약/키워드: Three dimensional finite element method

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The coupling of complex variable-reproducing kernel particle method and finite element method for two-dimensional potential problems

  • Chen, Li;Liew, K.M.;Cheng, Yumin
    • Interaction and multiscale mechanics
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    • v.3 no.3
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    • pp.277-298
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    • 2010
  • The complex variable reproducing kernel particle method (CVRKPM) and the FEM are coupled in this paper to analyze the two-dimensional potential problems. The coupled method not only conveniently imposes the essential boundary conditions, but also exploits the advantages of the individual methods while avoiding their disadvantages, resulting in improved computational efficiency. A hybrid approximation function is applied to combine the CVRKPM with the FEM. Formulations of the coupled method are presented in detail. Three numerical examples of the two-dimensional potential problems are presented to demonstrate the effectiveness of the new method.

Examination and Improvement of Accuracy of Three-Dimensional Elastic Crack Solutions Obtained Using Finite Element Alternating Method (유한요소 교호법으로 구한 삼차원 균열 탄성해의 정확성 향상 및 검토)

  • Park, Jai-Hak;Nikishkov, G.P.
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.5
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    • pp.629-635
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    • 2010
  • An SGBEM (symmetric Galerkin boundary element method)-FEM alternating method has been proposed by Nikishkov, Park and Atluri. This method can be used to obtain mixed-mode stress intensity factors for planar and nonplanar three-dimensional cracks having an arbitrary shape. For field applications, however, it is necessary to verify the accuracy and consistency of this method. Therefore, in this study, we investigate the effects of several factors on the accuracy of the stress intensity factors obtained using the abovementioned alternating method. The obtained stress intensity factors are compared with the known values provided in handbooks, especially in the case of internal and external circumferential semi-elliptical surface cracks. The results show that the SGBEM-FEM alternating method yields accurate stress intensity factors for three-dimensional cracks, including internal and external circumferential surface cracks and that the method can be used as a robust crack analysis tool for solving field problems.

Stress analysis of ventricular myocarda according to heart pressure in diastole using finite element method (유한요소법을 이용하여 확장기때 압력에 따른 심실심근의 응력 해석)

  • Han, Geun-Jo;Kim, Sang-Hyun;Shin, Jung-Woog
    • Proceedings of the KOSOMBE Conference
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    • v.1994 no.05
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    • pp.131-135
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    • 1994
  • In order to study the shape and dimensions of heart, the procedures to reconstruct a three dimensional left ventricular geometry from two dimensional echocardiographic images is studied including the coordinate transformation, curve fitting and interpolation utilizing three dimensional position registration arm. Nonlinear material property of the left ventricular myocardium was obtained by finite element method performed on the reconstructed geometry and optimization techniques which compare the computer predicted 3D deformation with the experimentally determined deformation. Afterwards using the obtained nonlinear material propertry the stress distribution related with oxyzen consumption rate was analyzed.

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Hydroelastic Response Analysis of TLPs in Regular Waves (규칙파 중 TLP의 유탄성응답 해석)

  • Ha, Y.R.;Lee, S.C.;Goo, J.S.
    • Journal of Power System Engineering
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    • v.14 no.2
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    • pp.48-54
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    • 2010
  • An improved numerical scheme, to which the hydroelastic method is adapted, is introduced for predicting the motion and structural responses of tension leg platforms(TLPs) in regular waves. The numerical approach in this work is based on a combination of the three dimensional source distribution method and the finite element method. The hydrodynamic interactions among TLP members, such as columns and pontoons, are included in the motion and structural response analysis. The drag forces on the submerged slender members, which are proportional to the square of relative velocity, are included in order to estimate the responses of members with better accuracy. Comparisons with other results verify the works in this paper.

A Numeric Modelling Technique for the Shape Development of Fatigue Crack (피로 균열 형상 진전의 수치 모델링 기법에 관한 연구)

  • Han, Moon-Sik
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.2 s.95
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    • pp.225-233
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    • 1999
  • This paper describes a versatile finite element technique which has been used to investigate of wide range of structural defects of practical importance. The procedure automatically remeshes the three-dimensional finite element model during the stages of crack growth. Problems analyzed to date include the surface cracks in leak-before-break situations, the development of quarter-elliptical corner defects, planar semi-elliptical surface defects and the fatigue growth of defects.

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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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Numerical Simulation of Fatigue Growth of Multiple Surface Crack under Fatigue Load (피로 하중하에서의 복수표면크랙진전에 관한 수치시뮬레이션)

  • 한문식
    • Transactions of the Korean Society of Automotive Engineers
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    • v.10 no.6
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    • pp.133-141
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    • 2002
  • This paper describes a versatile finite element technique which has been used to investigate wide range of structural defects of practical importance. The procedure automatically remeshes the three-dimensional finite element model during the stages of crack growth. Problems include the surface cracks in leak-before-break situations, the shape development of multiple surface defects.

A Study of Predicting Method of Residual Stress Using Artificial Neural Network in $CO_2$ Arc Welding (인공신경회로망을 이용한 탄산가스 아크 용접의 잔류응력 예측에 관한 연구)

  • 조용준;이세헌;엄기원
    • Journal of Welding and Joining
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    • v.13 no.3
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    • pp.77-88
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    • 1995
  • A prediction method for determining the welding residual stress by artificial neural network is proposed. A three-dimensional transient thermomechanical analysis has been performed for the CO$_{2}$ arc welding using the finite element method. The first part of numerical analysis performs a three-dimensional transient heat transfer analysis, and the second part then uses the results of the first part and performs a three-dimensional transient thermo-elastic-plastic analysis to compute transient and residual stresses in the weld. Data from the finite element method are used to train a backpropagation neural network to predict the residual stress. Architecturally, the fully interconnected network consists of an input layer for the voltage and current, a hidden layer to accommodate the ailure mechanism mapping, and an output layer for the residual stress. The trained network is then applied to the prediction of residual stress in the four specimens. It is concluded that the accuracy of the neural network predicting method is fully comparable with the accuracy achieved by the traditional predicting method.

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A Study of Predicting Method of Residual Stress Using Artificial Neural Network in $CO_2$Arc welding

  • Cho, Y.;Rhee, S.;Kim, J.H.
    • International Journal of Korean Welding Society
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    • v.1 no.2
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    • pp.51-60
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    • 2001
  • A prediction method for determining the welding residual stress by artificial neural network is proposed. A three-dimensional transient thermo-mechanical analysis has been performed for the $CO_2$ arc welding using the finite element method. The first part of numerical analysis performs a three-dimensional transient heat transfer analysis, and the second part then uses the results of the first part and performs a three-dimensional transient thermo-elastic-plastic analysis to compute transient and residual stresses in the weld. Data from the finite element method are used to train a back propagation neural network to predict the residual stress. Architecturally, the fully interconnected network consists of an input layer for the voltage and current, a hidden layer to accommodate the failure mechanism mapping, and an output layer for the residual stress. The trained network is then applied to the prediction of residual stress in the four specimens. It is concluded that the accuracy of the neural network predicting method is fully comparable with the accuracy achieved by the traditional predicting method.

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Wave Excitations on a Body in a Bifurcated Three-Dimensional Channel

  • Cho Song Pyo;Kyoung Jo hyun;Bai Kwang June
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.191-192
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    • 2003
  • A numerical method for a wave diffraction problem in three-dimensional channels is developed. The physical models are various shapes of channel connected to the open sea. When a ship or an offshore structure is moored in various configurations of channel connected to an open sea, the prediction of the hydrodynamic force exerting on the moored ship could be important for the prediction of its motion. It is assumed that the fluid is inviscid and incompressible and its motion is irrotational. From the continuity equation, the Laplace equation can be obtained as the governing equation. The surface tension at free surface is neglected, and wave amplitude is assumed to be small compared to the wave length. Then the free surface condition can be linearized. The numerical method used here is the localized finite element method based on a variational formulation

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