• Title/Summary/Keyword: 유한요소이론

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Analysis of Elasto-Plastic Problems Using the Generalized Finite Element Method with Global-Local Enrichment Functions (전체-국부 확장함수를 지닌 일반유한요소법을 이용한 탄소성해석)

  • Han, So-Jeong;Kim, Hee-Cheul;Lee, Young-Hak;Kim, Dae-Jin
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.773-777
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    • 2011
  • 본 논문에서는 국부적으로 비선형 거동을 보이는 고전적인 $J_2$ 소성흐름 이론에 근거한 탄소성 문제의 해를 효율적으로 구하기 위해 전체-국부 확장함수를 지닌 일반유한요소법을 제안한다. 제안된 기법은 비선형 거동을 보이는 영역을 포함하는 국부 문제의 비선형 해를 구하고 이를 일반유한요소법의 단위 오목 분할의 개념을 통해 전체 문제의 해 공간을 확장하는데 이용한다. 이는 적은 계산량으로 복잡한 탄소성문제의 정확한 해를 얻는 것을 가능하게 하며 기법의 강건성과 정확성을 입증하기 위한 수치해석 예제가 다루어진다.

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FE-Model Update for Prestress-Force Monitoring of Prestressed Concrete Girders (프리스트레스트 콘크리트 거더의 긴장력 모니터링을 위한 유한요소모델 개선)

  • Ho, Duc-Duy;Hong, Dong-Soo;Kim, Jeong-Tae;Yun, Chung-Bang
    • 한국방재학회:학술대회논문집
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    • 2010.02a
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    • pp.39.2-39.2
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    • 2010
  • 본 논문에서는 프리스트레스트 콘크리트 거더 구조물의 긴장력 손실을 검색하기 위한 유한요소모델 개선기법을 제시하였다. 먼저, 유한요소모델개선 기법의 이론적 배경을 제시하였다. 두 번째로, 다수의 긴장력 조건하의 모형 PSC 거더에 대한 모드파라메터들을 측정하기위해 진동실험을 수행하였다. 세 번째로, 유한요소모델의 구조파라메터 개선을 통해 실험결과와 유사한 고유진동수를 얻기 위한 진동기반 구조식별을 수행하였다. 마지막으로, 다수의 긴장력 조건하에서 실험을 통해 측정된 고유진동수와 수치적으로 식별된 고유 진동수를 이용하여 모델개선 기법의 적합성을 검증하였다.

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Model and Method for Post-Failure Analysis of Composite Structure (복합재 구조물의 초기파손후의 거동묘사를 위한 모델과 해석방법)

  • 김용완;황창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.3
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    • pp.506-513
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    • 1992
  • 본 연구에서는 복합재 구조물에 대하여 유한요소해석법에 현상학적 모델인 전 단지연해석을 도입하여 강성저하와 모재파손을 예측하고 변형률을 매개변수로 한 Wei- bull 함수를 섬유파손해석에 도입하여 초기파손후의 거동을 묘사하고자 한다. 그리 고 면내전단하중이 작용하는 경우에 대해 전단지연해석을 수행할 수 있도록 모델링을 확장했다. 모재균열의 존재로 인한 단층의 강성변화는 실험으로 측정이 불가능하므 로 유한요소해석을 수행하여 비교하였다. 이 모델로부터 전단강성의 저하를 평가하 는 방법을 사용하였으며, 모재파손의 밀도 예측도 평균변형률 개념으로 전단효과를 고 려할 수 있도록 수정하였다. 그리고 초기파손후의 거동을 점진적으로 해석하기 위해 비선형 유한요소프그램을 작성하고, 상기의 모델을 도입하여 초기파손후의 거동을 보 다 정확히 묘사할 수 있는 방법을 제시하고 예로서 평시편에 대해 해석하고 실험치 및 타방법의 결과와 비교하였다.

Buckling of Ferromagnetic Plates in Thermal and Magnetic Fields (자기장과 온도장으로 재하된 강자성 판의 좌굴)

  • 이종세;왕성철
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.4
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    • pp.727-739
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    • 2002
  • Based on a generalized variational principle for magneto-thermo-elasticity, a theoretical model is proposed to describe the coupled magneto-thermo-elastic interaction in soft ferromagnetic plates. Using the linearized theory of magneto-elasticity and perturbation technique, we analyze the magneto-elastic and magneto-thermo-elastic instability of simply supported ferromagnetic plates subjected to thermal and magnetic fields. A nonlinear finite element procedure is developed next to simulate the magneto-thermo-elastic behavior of a finite-size ferromagnetic plates. The effects of thermal and magnetic fields on the magneto-thermo-elastic bending and buckling is investigated in some detail.

A Combined Finite Element -Boundary Element Method of Underground Displacements Analysis (유한요소와 경계요소를 결합한 지하공동의 변위해석)

  • 황창규;박성재
    • Geotechnical Engineering
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    • v.6 no.1
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    • pp.25-34
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    • 1990
  • The finite element and boundary element methods of underground analysis are both well established numerical techniques for determination of stress and displacement distributions at underground excavation. The finite element method presents antithetical advantages and limitations. Complex constitutive behaviour may be modelled, at the expense of numerical efficiency and, for infinite domain, inadequate representation of remote bounadry conditions. The inherent advantages of the boundary element method are the ease with which infinite domain problems may be analysed, and the efficiency of analysis typically associated with a boundary value solution procedure. Application of the method is limited by the requirements linear constitutive behaviour for the medium. A combined of the finite element and boundary element methods of underground analysis is shown to preserve the advantages of each procedure, and, eliminates their individual disadvantages. Procedures employed in this papers described combined FEBEM algorithm. Solutions of underground excavation verifying the performance of combined FEBEM code are compared with theoretical solution, boundary element solution and finite element solution.

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Analytical Studies on the Steel Plate-Concrete Structures under Compressive Load (압축력을 받는 강판-콘크리트 구조의 해석적 고찰)

  • Choi, Byong Jeong;Han, Hong Soo
    • Journal of Korean Society of Steel Construction
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    • v.20 no.2
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    • pp.269-278
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    • 2008
  • The primary object of the paper is to understand the compressive buckling characteristics of steel-concrete structures through the finite element analysis. The buckling pattern, compressive strength and stiffness of the steel plate concrete structures were investigated by the FEM analysis using the variations of B/t ratios and stud pitches. The investigation was focused on steel plate concrete structures with and without ribs placed on the surface of steel plates. The results of the FEM analysis were compared with the previous results from the theoretical equations. Conclusively, the buckling of the steel plate concrete structures occurred in the transverse direction of the loading direction. The stiffness of the steel plate concrete structure with ribs is greater than the one without the stiffened rib. The compressive strength in the FEM analysis is similar to that of JEAG 4681 and it showed 20% greater value than that of the proposed equations.

p-Version Elasto-Plastic Finite Element Analysis by Incremental Theory of Plasticity (증분소성이론에 의한 p-Version 탄소성 유한요소해석)

  • 정우성;홍종현;우광성
    • Computational Structural Engineering
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    • v.10 no.4
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    • pp.217-228
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    • 1997
  • The high precision analysis by the p-version of the finite element method are fairly well established as highly efficient method for linear elastic problems, especially in the presence of stress singularity. It has been noted that the merits of the p-version are accuracy, modeling simplicity, robustness, and savings in user's and CPU time. However, little has been done to exploit their benefits in elasto-plastic analysis. In this paper, the p-version finite element model is proposed for the materially nonlinear analysis that is based on the incremental theory of plasticity using the constitutive equation for work-hardening materials, and the associated flow rule. To obtain the solution of nonlinear equation, the Newton-Raphson method and initial stiffness method, etc are used. Several numerical examples are tested with the help of the square plates with cutout, the thick-walled cylinder under internal pressure, and the circular plate with uniformly distributed load. Those results are compared with the theoretical solutions and the numerical solutions of ADINA

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Finite Element Analysis of Glass Fiber Reinforced Plastic Pipes Under Internal Pressure (내압을 받는 복합 적층 파이프(GFRP) 구조의 유한요소 해석)

  • 조병완
    • Computational Structural Engineering
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    • v.7 no.2
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    • pp.101-109
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    • 1994
  • A degenerated cylindrical shell element for modeling glass fiber reinforced plastic pipes is developed and its performance for static structural analysis under internal uniform pressure is evaluated. The element is a nine node degenerated solid shell element with reduced integration technique, addition of nonconforming displacement modes, and assumed strain method to improve convergence of analysis. Several numerical examples are solved and compared with analytical solutions and other F.E.M programs, The results show that the increment of fiber orientation in the GFRP pipes with reference to the longitudinal axis cause less radial displacements and much stiffness in the pipes. This is reasonable since the internal pressure will primarily cause hoop stresses in the ring and 90-angle ply GFRP ring carry these efficiently in pure tension.

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P-version Finite Element Analysis of the Irregular Shaped Plates with Singularities (특이성을 갖는 비정형 평판의 p-version 유한요소해석)

  • 우광성
    • Computational Structural Engineering
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    • v.3 no.3
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    • pp.101-111
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    • 1990
  • The elastic analysis of floor slabs using the p-version of finite element method encounters stress singularities at certain types of reentrant corners, openings and cut-outs. Results obtained using the computer code based on C.deg. - hierarchic plate element formulated by Reissner-Mindlin theory are compared with theoretical predictions and with computational results reported in the literature. The convergence rate of h-, p- and hp-version can be estimated on the basis of the energy norm in global sense. If accuracy in terms of the number of degree-of-freedom is used as a criterion, the solutions presented here are the most efficient that have been published up to date. Examples are the rhombic plate with the obtuse angle of 150.deg. and the square plate with cut-outs.

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Wave Propagation in a Strip Plate with Longitudinal Stiffeners (보강재를 가진 무한길이 띠 평판의 진동해석)

  • Kim, Hyungjun;Ryue, Jungsoo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.6
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    • pp.512-519
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    • 2013
  • It is important to understand the vibrating behavior of plate structures for its many engineering applications. In this study, the vibration characteristics of strip plates that have finite width and infinite length are investigated theoretically and numerically. The waveguide finite element(WFE) approach, which is an effective tool for studying waveguide structures, is used in this study. The WFE method requires only a cross-sectional finite element model, and uses theoretical harmonic solutions to assess wave propagation along the longitudinal direction. First, WFE results for a simple strip plate are compared with the theoretical results(i.e., dispersion diagrams and point mobilities) to validate the numerical model. Then, in the numerical analysis, different numbers of longitudinal stiffeners are included in the plate model to investigate the effects of stiffeners in terms of the dispersion curves and mobilities. Finally, the dispersion curves of a stiffened double plate are obtained to examine the characteristics of its wave propagation.