• Computational Structural Engineering
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• v.9 no.4
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• pp.165-172
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• 1996

For thin elastic structures such as beams, arches, plates and shells, there may exist the boundary layer in the narrow thin region neighborhood of boundaries, where the solution displays the singular behavior exponentially decaying in the normal direction to the boundary. In the finite element analysis of these structures, finite element mesh patterns have a significant role to capture this singularity. This paper introduces the analytic study of this problem and provides a guideline to construct optimal mesh patterns together with numerical experiments.

• International Journal of Highway Engineering
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• v.10 no.4
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• pp.213-224
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• 2008

Flexible pavement responses to vehicular loading, such as critical stresses and strains, in each pavement layer, could be predicted by the multilayered elastic analysis. However, multilayered elastic theory suffers from major drawbacks including spatial dimension of a numerical model, material properties considered in the analysis, boundary conditions, and ill-presentation of tire-pavement contact shape and stresses. To overcome these shortcomings, three-dimensional finite element (3D FE) models are developed and numerical analyses are conducted to calculate pavement responses to moving load in this study. This paper introduces a methodology for an effective 3D FE to simulate flexible pavement structure. It also discusses the mesh development and boundary condition analysis. Sensitivity analyses of flexible pavement response to loading are conducted. The infinite boundary conditions and time-dependent history of calculated pavement responses are considered in the analysis. This study found that the outcome of 3D FE implicit dynamic analysis of flexible pavement that utilizes appropriate boundary conditions, continuous moving load, viscoelastic hot-mix asphalt model is comparable to field measurements.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.4 no.3
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• pp.146-155
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• 1992

It has been conventional to treat the land boundary as a fixed one in numerical modeling of tidal flows, particularly in the finite element scheme. However conventional models using the fixed land boundary result in unrealistic tidal flows in inter-tidal zones which exist over wide coastal area in Korea. In this study, a 2-dimensional hydrodynamic model, using finite element method for moving boundary problems was developed. The performance of the model was tested in a rectangular channel with an open boundary at one end and a moving boundary at the other end. The model was applied to calculate the tidal currents in Maro Hae, located in the southwestern part of Korea where wide tidal flats develop. The behavior of tidal currents in the Udolmok and near the tidal flats in the study area was satisfactory when compared with the observed data. Variation of tidal currents due to the construction of Kochunam sea-dyke which barrages large area of tidal flat was presented. The results of this study confirm the efficiency of moving boundary treatment in coastal numerical models.

• Computational Structural Engineering
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• v.8 no.3
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• pp.91-102
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• 1995

For the wave propagation problems, the influence of time-dependent dynamic behavior must be accounted in the analysis. In this study, the dynamic analysis method which combines finite elements and boundary elements is developed for the wave propagation problem modelling the infinity of medium through 3-D boundary elements and underground structure through degenerated finite shell elements. Performing dynamic analysis of underground tunnels by the proposed coupling method of boundary and finite elements, it is found that the change of the stiffness of structures has a good effect on the response. It is also found that the consideration of the repeating effect due to moving traffic loads which is difficult with existing 2-D dynamic analysis can be possible with the 3-D analysis in time domain.

• Tunnel and Underground Space
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• v.12 no.3
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• pp.171-178
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• 2002

A dynamic analysis of a horseshoe_shaped tunnel near to cavity was performed to study the effect of the cavity on the dynamic behavior of the tunnel. In order to obtain the dynamic response of the tunnel embedded in a semi-infinite domain, a hybrid numerical technique was primarily developed. A dynamic fundamental solution in frequency domain for multi-layered half planes was derived and subsequently incorporated in the boundary element method. Coupling of the boundary element method for the far field with the finite element method for the near field is made by imposing compatibility condition of a displacement at the interface. The boundary element method is then coupled with the finite element method, which is utilized to model the near field including the tunnel and the cavity. In order to demonstrate the validity of the proposed technique, dynamic responses of single and multiply-layered semi-infinite structural systems are obtained by using the Kicker waveform and investigated in the limestone layer to find how the being and the location of the cavity affect the dynamic characteristics of the system.

• Proceedings of the Korea Water Resources Association Conference
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• 2006.05a
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• pp.396-401
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• 2006

하천의 2차원 흐름, 유사이동 그리고, 오염 확산의 정도를 알아보기 위해 유한 요소법을 이용한 해석 방법이 널리 사용되고 있다. 유한 요소법을 이용할 때 유한 요소망 생성이 필수적이며, 해석 결과에 크게 영향을 주는 변수로 작용하게 된다. 본 연구에서는 복잡한 경계를 가진 하천의 유한 요소망 생성을 위해 대표적인 비구조적 요소망 생성 기법인 Delaunay 삼각화 기법과 흐름의 특성을 잘 나타낼 수 있도록 Transfinite 보간법을 이용한 구조적 요소망 생성 기법을 구현하였다. 그리고, 본 연구에 의해 생성된 유한 요소망의 형질 평가를 통해서 해석 결과에 대한 신뢰성을 높였으며, 요소망 생성 GUI 프로그램을 통하여 요소망에 대한 1차식의 요소와 2차식의 요소간의 변환, 되돌리기, 다시 실행 등의 기능을 지원하여 사용의 편리성을 추가하였다.

• Journal of the KSME
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• v.16 no.4
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• pp.49-54
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• 1976

유한요소법이 처음 연구되기 시작할 때는 변위를 가변수로 하는 매트ㄹ스 변위법(Matrix Displacement Method) 과 외력을 자변수로 하는 매트ㄹ스 힘 방법(Matrix Force Method)외 두 길로 발전되어 갔었으나 경계 조건의 적용과 매트ㄹ스 분활(Partitioning)에 있어서 후자의 방법이 많은 번거로움을 갖는다는 것이 인정되어 오늘날은 전자의 방법 만이 사용되는 형편이다. 본 해 설에서는 유한요소의 기본성질을 모두 가지면서도 제일 간단한 보유한요소(Beam Finite Element )를 예로 다루며 유한 요소법의 기본이론과 응용방법을 설명코저 한다.

• Transactions of the Korean Society of Mechanical Engineers
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• v.5 no.3
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• pp.230-237
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• 1981

임의의 기하학적형태 단면을 가진 수직덕트내 층류조합대류열전달에서 벽온일정인 경계조건에 대하여는 Nayak[12], Giuidice[13]의 유한요소법해가 있다. 본 연구는 경계조건으로 벽에서의 열플러스가 비균일(균일한경우 포함)한 경우를 대상으로 유한요소법에 의한 해석을 시도한 것으로 예시에서 보는 바와 같이 수직해는 벽해밀과 좋은 일치를 보이고 있다.

• Proceedings of the KSME Conference
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• 2004.11a
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• pp.416-418
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• 2004

Tracking of evolving solid-fluid interfaces is treated using level set method and MLS-based finite element with variable nodes. Several applications will be illustrated to demonstrate the effectiveness of the present scheme

• Proceedings of the KIEE Conference
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• 2009.07a
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• pp.818_819
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• 2009

본 논문에서는 온도상승의 열원이 되는 권선과 철심의 전력손실을 유한요소법을 이용한 전자계해석과 스타인메츠실험식으로 산정하였다. 온도에 대한 자연대류 열전달계수를 산정하여 경계면에서의 경계조건으로 적용하였다. 열전달 해석을 위해 전력용변압기를 3차원 형상으로 모델링한 후 유한요소법을 이용해 권선과 철심에서의 온도분포를 해석하였다.