• Title/Summary/Keyword: finite element alternating method

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Analysis of Three Dimensional Cracks Subjected to the Mode I Loading by Using FEAM (유한요소 교호법을 이용한 모드 I 하중 하의 삼차원 균열의 해석)

  • Kim, Tae-Sun;Park, Jae-Hak
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.4 s.175
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    • pp.982-990
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    • 2000
  • The finite element alternating method is extended further for general three dimensional cracks in an isotropic body subjected to the mode I loading. The required analytical solution for a dime dimensional crack in an infinite isotropic body is obtained by solving the integral equations. In order to remove the high singularity in integration, the technique suggested by Keat et al. was used. With the proposed method several example problems are solved in order to check the accuracy and efficiency of the method.

유한요소법에 의한 교류자장계산에 관한 연구

  • 김인호;정현교;이기식;한송엽
    • 전기의세계
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    • v.30 no.7
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    • pp.448-453
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    • 1981
  • To solve alternating magnetic field problems, the program TDEDDY is developed with the use of the finite element method. Triangular finite elements of the first order are employed for the discretization of the field region. This program is constructed through an interactive system to check errors immediately when every routine is executed, and several subprograms are employed for the graphic representation of computed results. As an example, it is applied to a model of semi-infinite slab excited by an alternating current source. Results by the program TDEDDY show the satisfactory accuracy in comparision with those of analytic calculations.

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A partial proof of the convergence of the block-ADI preconditioner

  • Ma, Sang-Back
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.495-501
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    • 1996
  • There is currently a regain of interest in ADI (Alternating Direction Implicit) method as a preconditioner for iterative Method for solving large sparse linear systems, because of its suitability for parallel computation. However the classical ADI is not applicable to FE(Finite Element) matrices. In this paper wer propose a Block-ADI method, which is applicable to Finite Element metrices. The new approach is a combination of classical ADI method and domain decompositi on. Also, we provide a partial proof of the convergence based on the results from the regular splittings, in case the discretization metrix is symmetric positive definite.

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Analysis of Multiple Curved Cracks in An Orthotropic Plate (직교이방성 판 내의 다중 곡선균열 해석)

  • Kim, Maan-Won;Park, Jai-Hak
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.6
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    • pp.969-980
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    • 2003
  • The interactions between curved cracks are examined in an orthotropic plate and the effects of rectilinear anisotropy on the stress intensity factors are analyzed. The finite element alternating method (FEAM) is used in this study to get the stress intensity factors for the multiple curved cracks. To obtain analytical solutions, which is necessary in FEAM, the curved cracks are modeled as continuous distributions of dislocations, and integral equations are formulated for unknown dislocation density functions to satisfy the given resultant forces on the crack surfaces. Several basic problems are solved to verify the accuracy and efficiency of the proposed method and it can be found that present results show good agreements with the previously published results.

Finite-EIement Analysis with Localized Functional for Alternating Magnetic Field Problems (국부범함수를 사용한 교류자장 문제의 유한요소 해석)

  • 김원범;정현교;고창섭;한송엽
    • Journal of the Korean Magnetics Society
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    • v.1 no.2
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    • pp.79-84
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    • 1991
  • A variational approach employing localized functional is presented to solve alternating magnetic field problems with open boundary. The functional used in the approach consists of the domain integral of finite element region only and the boundary integral of the interfacial boundary between the finite and infinite element regions. The boundary integral is obtained by transforming the infinite domain integral for the infinite element region into the interfacial boundary integral. The proposed algorithm is then applied to a simple two-dimensional problem where the analytic solutions are available. It is shown that the algorithm makes it possible to yield good agreements between the numerical and analytic solutions. and that it requires less computer storage memory and computation time than the conventional finite element method due to the reduction of the computing region.

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Mismatching Refinement with Domain Decomposition and Its Application to the Finite Element Analysis of the Extrusion Process (영역분할에 의한 격자세분화 기법 및 압출공정의 유한요소해석에의 적용)

  • Park, Keun;Yang, Dong-Yol
    • Transactions of Materials Processing
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    • v.8 no.3
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    • pp.284-293
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    • 1999
  • The rigid-plastic finite element analysis requires a large amount of computation time due to its non-linearity. For economic computation, mismatching refinement, and efficient domain decomposition method with different mesh density for each sub domain, is developed. A modified velocity alternating scheme for the interface treatment is proposed in order to obtain good convergence and accuracy. As a numerical example, the axisymmetric extrusion process is analyzed. The results are discussed for the various velocity update schemes form the viewpoint of convergence and accuracy. The three-dimen-sional extrusion process with rectangular section is analyzed in order to verify the effectiveness of the proposed method. Comparing the results with those of the conventional method of full region analysis, the accuracy and the computational efficiency of the proposed method are then discussed.

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Finite Element Analysis of Thermal Fatigue Safety for a Heavy-Duty Diesel Engine (대형디젤엔진의 열적 피로안전도 분석을 위한 유한요소해석)

  • 조남효;이상업;이상규;이상헌
    • Transactions of the Korean Society of Automotive Engineers
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    • v.12 no.1
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    • pp.122-129
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    • 2004
  • Finite element analysis was performed to analyze structural safety of a new heavy-duty direct injection diesel engine. A half section of the in-line 6-cylinder engine was selected as a computational domain. A mapping method was used to project heat transfer coefficients from CFD results of engine coolant flow onto the FE model. The accurate setting of thermal boundary condition on the FE model was expected to result in improved prediction of temperature, cylinder bore distortion, and stresses. Characteristics of high cycle fatigue were investigated by assuming the engine was operated under the following five loading conditions repeatedly; assembly force, assembly force with thermal loading, alternating maximum gas pressure loading at each cylinder combined with assembly force and thermal loading. Distribution of fatigue safety factor was calculated by using it Haigh diagram in which the maximum and the minimum stresses were selected from the five loading cases.

Calculation of Iron Loss under Rotational Magnetic Field Using Finite Element Method (회전 자계에 의한 철손의 유한요소 해석)

  • Lee, H.Y.;Park, G.S.;Hahn, S.Y.
    • Proceedings of the KIEE Conference
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    • 1994.07a
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    • pp.147-149
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    • 1994
  • In designing high efficiency electrical machines, calculation of iron loss is very important. And it is reported that in the induction motor and in the T-joint of 3 phase transformer, there occurred rotational magnetic field and much iron loss is generated owing to this field. In this paper, rotational power loss in the electrical machine under rotational magnetic field is discussed. Until now, loss analysis is based on the magnetic properties under alternating field. And with this one dimensional magnetic propertis, it is difficult to express iron loss under rotational field. In this paper, we used two dimensional magnetic property data for the numerical calculation of rotational power loss. We used finite element method for calculation and the analysis model is two dimensional magnetic property measurement system. We used permeability tensor instead of scalar permeability to present two dimensional magnetic properties. And in this case, we cannot uniquely define energy functional because of the asymmetry of the permeability tensor, so Galerkin method is used for finite element analysis.

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Fracture Mechanics Analysis of a Reactor Pressure Vessel Considering Pressurized Thermal Shock (가압열충격을 고려한 원자로 압력용기의 파괴역학적 해석)

  • 박재학;박상윤
    • Journal of the Korean Society of Safety
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    • v.16 no.4
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    • pp.29-38
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    • 2001
  • The purpose of this paper is to evaluate the structural integrity of a reactor pressure vessel subjected to the pressurized thermal shock(PTS) during the transient events, such as main steam line break(MSLB) and small break loss of coolant accident(SBLOCA). For postulated surface or subsurface cracks, variation curves of stress intensity factor are obtained by using the three different methods, including ASME section XI code anlysis, the finite element alternating method and the finite element method. From the stress intensity factor curves, the maximum allowable nil-ductility transition temperatures(RT/NDT/) are determined by the tangent criterion and the maximum criterion for various crack configurations and two initial transient events. As a result of the analysis, it is noted that axial cracks have smaller maximum allowable RT$_{NDT}$ values than same-sized circumferential cracks for both the transient events in the case of the tangent criterion. Axial cracks have smaller RT$_{NDT}$ values than same-sized circumferential cracks for MSLB and circumferential cracks have smaller values than axial cracks for SBLOCA in the case of the maximum criterion.

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Mechanics Evaluations of Stress Corrosion Cracking for Dissimilar Welds in Nuclear Piping System (원자력 배관 이종금속 용접부 웅력부식균열의 역학적 평가)

  • Park, Jun-Su;Na, Bok-Gyun;Kim, In-Yong
    • Proceedings of the KWS Conference
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    • 2005.11a
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    • pp.38-40
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    • 2005
  • Fracture mechanics evaluation of stress corrosion cracking (SCC) in the dissimilar metal weld (DMW) for the nuclear piping system is performed; simulating the transition joint of the ferritic nozzle to austenitic safe-end fabricated with the Inconel Alloy A82/182 buttering and welds. Residual stresses in the DMW are computed by the finite element (FE) analyses Then, to investigate the SCC in the weld root under the combined residual and system operation stresses, the fracture mechanics parameters for a semi-elliptical surface crack are evaluated using the finite element alternating method (FEAM). As a result, it is found that the effect of weld residual stresses on the crack-driving forces is dominant, as high as three times or more than the operation stresses.

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