• Journal of the Korean Geosynthetics Society
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• v.20 no.3
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• pp.11-20
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• 2021

In this paper, the approximately coupled method of finite element method and boundary element method to obtain efficient and accurate analysis results is proposed for a two-dimensional elasto-static problem with a geometrically abruptly changing part. As the finite element of a two-dimensional problem, three-node and four-node plane stress element is applied, and as the boundary element of a two-dimensional problem, three-node boundary element is applied. In the modeling stage, firstly, an entire analysis target object is modeled as finite elements, and then a geometrically abruptly changing part is modeled as boundary elements. The boundary element is defined using the nodes defined for modeling finite elements. In the analysis stage, finite element analysis is firstly performed on a entire analysis target object, and boundary element analysis is automatically performed afterwards. As for the boundary conditions at boundary element analysis, displacement conditions and stress conditions, which are the results of finite element analysis, are applied. As a numerical example, the analysis results for a two-dimensional elasto-static problem, a plate with a crack, are presented and investigated.

• Journal of Korean Association for Spatial Structures
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• v.5 no.4 s.18
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• pp.53-59
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• 2005

This paper provides the results of the investigation on the optimum thickness distribution of plate structures with different essential boundary conditions. In this study, the strain energy to be minimized is considered as the objective function and the initial volume of structures is used as the constraint function. The computer-aided geometric design (CAGD) such as Coon's patch representation is used to represent the thickness distribution of plates. A reliable degenerated shell finite element is adopted to calculate the accurate strain energy level of the plates. Robust optimization algorithms provided in the optimizer DOT are adopted to search the optimum thickness values during the optimization iteration. Finally, the square plate is used to find out the optimum thickness distribution of plates according to different essential boundary condition.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.12 no.2
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• pp.594-599
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• 2011

In this paper, the effect of the boundary conditions on the reliability and the cumulative distribution characteristics of the fatigue failure life is analyzed in a magnesium alloy AZ31. The boundary conditions are specimen thickness, stress ratio, and maximum fatigue load. The statistical data of the fatigue failure life are obtained by fatigue crack propagation tests under the detail conditions for each boundary condition. The 3-parameter Weibull distribution is used to analyze a statistical characteristics of the fatigue failure life in magnesium alloy AZ31. It is found that the statistical fatigue failure life is long in the case of a thicker specimen, a larger stress ratio, and a smaller maximum fatigue load. Under the opposite cases, the reliability on the fatigue failure life is rapidly dropped.

• Proceedings of the Korean Information Science Society Conference
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• 2005.11a
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• pp.682-684
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• 2005

본 논문에서는 동적인 실제 객체로부터 얻어진 깊이 맵으로부터 3차원 메쉬 모델을 생성할 때, 영상의 경계정보를 기반으로 효율적인 비정규 메쉬를 생성하는 기법을 제안한다. 우선 깊이 맵으로부터 소수의 특징점과 경계영역에서의 실루엣 점을 추출한다. Delaunay 삼각화 기법을 적용할 때 경계 피부에 발생하는 불필요한 삼각형들을 효율적으로 제거하기 위해 실루엣점으로 구성된 경계 라인을 제약조건으로 사용한다. 즉 깊이 맵으로부터 경계 영역 정보를 추출하고 이를 기반으로 관심 객체의 비정규 삼각 메쉬에 존재하는 불필요한 외부 삼각형을 제거한다. 최종적으로 생성된 3차원 메쉬에 포함된 형상 노이즈를 제거하기 위해 메쉬 스무딩 기법을 적용하고, 깊이 맵과 동시에 획득된 컬러 영상을 텍스쳐링하여 3차원 메쉬를 생성한다.

• The Journal of the Acoustical Society of Korea
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• v.12 no.2
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• pp.28-36
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• 1993

임의의 형상을 갖는 진동체에 의한 방사 음장해석은 경계요소법에 의하여 이미 많은 해석이 시도되었다. 그러나, 진동체의 형상이 매우 복잡한 경우에는 겉표면의 요소수가 크게 증가할 뿐만 아니라 각 요소에서의 경계조건을 모두 알아내어야 하므로, 저주파에 국한된 해석일지라도 엄청난 시간과 노력이 필요하게 된다. 이러한 어려움을 극복하기 위하여 경계요소법을 사용하되, 복잡한 형상의 진동체를 둘러싸는 가상적인 표면을 매우 간단하게 설정한 후 그 표면상의 경계조건인 음압을 측정한다. 임의의 형상에 대한 파수 영역에서의 감쇠파의여파작업을 위하여 특이값 분리를 사용하였다. 특이값 분리에 의하여 음압분포를 측정위치에서 설정된 일반 좌표계에서의 고유모드로 분해한다. 각 고유모드의 원거리 음장의 기여도에 해당하는 각 특이벡터에 대한 특이값의 크기를 비교하여, 유한개의 고유모드만을 포함시킴으로써 원거리 음장을 예측한다. 몇 개의 예제를 통하여 해석적 방법의 기존의 경계요소법에 의한 결과를 본 연구 방법의 결과와 비교하여 잘 일치함을 확인하였다.

• Computational Structural Engineering
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• v.8 no.3
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• pp.75-78
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• 1995

The boundary element analysis has been attempted for investigating the singular stress at the interface edge of infinitely layered structure. The subdomain technique has been employed and the analysis model has been divided into two subdomains, which are respectively homogeneous elastic zones. The boundary element equation has been formulated using the equilibrium and continuity conditions at the common interface. The numerical results of example problem has been presented.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.30 no.4
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• pp.335-341
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• 2017

In this paper, beam finite elements with higher-order derivatives' continuity are formulated and evaluated for various boundary conditions. All the beam elements are based on Euler-Bernoulli beam theory. These higher-order beam elements are often required to analyze structures by using newly developed higher-order beam theories and/or non-classical beam theories based on nonlocal elasticity. It is however rare to assess the performance of such elements in terms of boundary and loading conditions. To this end, two higher-order beam elements are formulated, in which $C^2$ and $C^3$ continuities of the deflection are enforced, respectively. Three different boundary conditions are then applied to solve beam structures, such as cantilever, simply-support and clamped-hinge conditions. In addition to conventional Euler-Bernoulli beam boundary conditions, the effect of higher-order boundary conditions is investigated. Depending on the boundary conditions, the oscillatory behavior of deflections is observed. Especially the geometric boundary conditions are problematic, which trigger unstable solutions when higher-order deflections are prescribed. It is expected that the results obtained herein serve as a guideline for higher-order derivatives' continuous finite elements.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.13 no.2
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• pp.100-108
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• 2001

Along the shoreline a special treatment is required to simulate movement of periodic waves such as tsunami and tide because of continuous movement of shoreline as waves rise and recede. A moving boundary treatment is first proposed to track the movement of shoreline in this study. The treatment is then employed to obtain a maximum inundation area to be used for mitigation of coastal flooding. The obtained maximum inundation zone for a specific location is compared to that of available observed data. A reasonable agreement is observed.

• Nuclear Engineering and Technology
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• v.14 no.4
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• pp.178-185
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• 1982

Albedo-type boundary condition is incorporated into the finite element formulation of the cubic Hermite polynomials for the two-dimensional solution of the two-group diffusion problem. Two modifications are introduced with respect to the conventional expression for the weak form of the group diffusion equation with the zero flux or zero current boundary condition and the cubic element functions over the boundary nodes. The finite element formulations obtained from those modifications are tested with the two-dimensional ZION problem. The numerical effectiveness of the modifications are examined.

• Journal of the KSME
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• v.26 no.2
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• pp.114-118
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• 1986

유한요소법은 경계치(boundary value)문제에 대한 근사해를 구하는 한 방법으로 공학문제 해결의 강력한 도구로서 그 적용분야가 확장되고 있으며, 아울러 유한요소법 자체의 제한점을 축소시 키기 위한 연구가 응용수학자나 공학자에 의해 활발히 진행되고 있다. 본 글에서는 일반적인 유한요소법의 개념을 자연스럽게 확장시켜 공학문제에서 자주 취급되는 제한조건식을 포함한 미분방정식의 처리와 연립미분방정식 및 4계 경계치 문제에 적용시키는 방법을 구체적으로 소 개하고자 한다. 이러한 문제는 최근 에너지 확보와 관련하여 연구가 활발히 진행되고 있는 해 저송유관 설계 및 부설, 시추선 상승관(riser)의 응력해석, 해저광물채집(ocean mining)등의 해 양공학분야에서 크게 대두되고 있다. 해저송유관의 수학적 모델을 통하여 제약조건식을 갖는 연립 4계 경계치 문제를 소개하고 유한요소법의 적용을 설명하고자 한다.