• 한국지반공학회논문집
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• 제34권12호
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• pp.59-69
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• 2018

한계평형법 이론들을 사용하기 위해서는 극한 파괴 상태에서 나타나는 파괴 전단면을 찾아야 한다. 강도 감소법에서는 유한요소해석의 수치해가 일정 반복 횟수 이내에 수렴하지 못하는 시점을 극한 파괴 상태로 정의한다. 하지만 Coupled Eulerian-Lagrangian (CEL)기법을 유한요소해석에서 사용하면 극한 파괴 상태에 도달하여도 수치해의 비수렴 상황이 발생하지 않으므로 이러한 정의는 사용하기 어렵다. 본 연구에서는 CEL 기법을 이용한 유한요소해석에서 지반의 극한 파괴 상태를 감지할 수 있는 객관적인 물리량 기준을 제시하였다. 비배수 조건의 연약지반이 연속기초 하중을 받는 경우 극한 파괴 상태에 해당하는 이론적 하중에서 소성 소산 에너지의 변화속도가 민감하게 변화함을 찾을 수 있었다.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 1995년도 추계학술대회논문집
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• pp.150-156
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• 1995

In the finite element analysis of metal forming processes, the updated Lagrangian approach has been widely and effectively used to simulate the non-steady state problems. However some difficulties have arisen from abrupt flow change as in extrusion through square dies. In the present work, a ALE(arbitrary Lagrangian-Eulerian) finite element formulation for deformation analysis are presented for rigid viscoplastic materials. The developed finite element program is applied to the analysis of square die extrusion of a square section. The computational results are compared with those from the updated Lagrangian finite element analysis.

• 한국공간구조학회논문집
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• 제5권4호
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• pp.79-90
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• 2005

본 연구의 주 목적은 다양한 요인에 의해 케이블-막구조물에 요소이동이 발생할 때, 당초 해석 시 가정되었던 좌표나 응력상태의 변화에 대해 막과 케이블 사이에 발생하는 요소이동의 방향이나 크기를 산정하고, 요소이동이 발생한 후 응력상태의 변화를 규명하는 것이다. 먼저 케이블 보강 막구조물의 요소이동 문제를 해석하기 위한 이론적 배경인 ALE 유한요소법의 개념을 소개하고, ALE 개념이 도입된 케이블-막구조물에서의 요소이동을 고려한 강성매트릭스를 작성하여 해석 프로그램을 개발한다. 개발된 프로그램의 타당성을 검증하기 위해 다양한 예제 해석을 수행한다.

• 한국공간구조학회논문집
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• 제8권5호
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• pp.95-105
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• 2008

본 논문에서는 케이블-막구조의 요소이동을 고려한 해석 기법을 제시하기 위하여 초기평형형상해석 및 응력해석과 요소이동성을 고려한 해석으로 구분하여 연구함으로서 이론적인 접근을 통해 요소이동성을 평가하였으며, 요소이동을 고려한 해석으로 ALE(Arbitrary Lagrangian-Eulerian) 유한요소법을 이용하여 작성된 알고리즘을 제시하여 다양한 예제의 검증을 통해 제안방법을 평가하였다.

• 소성∙가공
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• 제10권7호
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• pp.579-583
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• 2001

Shape changes of a workpiece in an Eulerian Finite Element analysis for the steady state, three-roll-stand shape rolling are modelled. Although an Eulerian analysis has many advantages for the steady state rolling problems, it necessitates an assumption about the unknown shape of the control volume. In almost all cases, the assumed control volume does not match the final shape and the control volume should be updated. This update can be accomplished by performing a free surface correction. The final shape of a material point, which has a spherical shape at the inlet, can be also predicted by integrating a deformation gradient along a stream line. Analyses of three-roll-stand shape rolling are performed and the results are discussed in detail.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2001년도 춘계학술대회 논문집
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• pp.328-331
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• 2001

Shape changes of a workpiece in an Eulerian Finite Element analysis for the steady state. three-roll-stand shape rolling are modelled. Although an Eulerian analysis has many advantages for the steady state rolling problems, it necessitates an assumption about the unknown shape of the control volume. In almost all cases. the assumed control volume does not match the final shape and the control volume should be updated. This update can be accomplished by performing a free surface correction. The final shape of a material point, which has a spherical shape at the inlet, can be also predicted by integrating a deformation gradient along a stream line. Analyses of three-roll-stand shape rolling is in detail examined.

• 한국산업융합학회 논문집
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• 제3권4호
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• pp.329-336
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• 2000

A geometric and material nonlinear finite element analysis is developed for the layered elastomeric bearings. In this study, a mixed variational approach with separate variables is used to describe the displacement and volume change of rubber. To represent finely deformed behavior, Kirchoff stress tensors are used and converted Eulerian stress tensors to describe real physical meanings. Newton's method is utilized to solve the governing nonlinear finite element equations. Numerical test are performed in the case of compression and shear to verify the theory and to illustrate the application of this analysis. And the results of this study were compared to the results of Moore's discrete finite element analysis.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 추계학술대회논문집B
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• pp.551-556
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• 2001

The filling pattern technique based on the finite element method and Eulerian mesh advancement approach has been developed to analyze incompressible transient viscous flow with free surfaces. The governing equation for flow analysis is Navier-Stokes equation including inertia and gravity effects. The penalty and predictor-corrector methods are used effectively for finite element formulation. The flow front surface and the volume inflow rate are calculated using the filling pattern technique to select an adequate pattern among four filling patterns at each triangular control volume. Using the proposed numerical technique, the collapse of a dam has been analyzed to predict flow phenomenon of fluid and the predicted front positions versus time have been compared with the reported experimental result.

• 한국해양공학회지
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• 제11권4호
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• pp.7-22
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• 1997

A finite element analysis is performed for lateral buckling problems on the basis of a geometrically nonlinear formulation for a beam with small elastic strain but with possibly large rotations. The total Lagrangian formulation for a general large deformation, which involves finite rotations, is chosen and the exponential map is used to treat finite rotations from the Eulerian point of view. For lateral buckling, the point of vanishing determinant of the resulting unsymmetric tangent stiffness is traced to examine its relationship to bifurcation points. It is found that the points of vanishing determinant is not corresponding to bifurcation points for large deformations in general, which suggests that the present unsymmetric tangent stiffness is not an exact first derivative of internal forces with respect to displacement. This is illustrated through several numerical examples and followed by appropriate discussion.

• 대한기계학회논문집A
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• 제21권11호
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• pp.1912-1920
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• 1997

In the analysis of metal forming process, ALE(Arbitrary Lagrangian Eulerian) finite element methods have been increasingly used for the capability to control mesh independently from material flow. The methods can be divided into two groups i.e., coupled and split formulations. In the present work, the split ALE formulation is used for computational efficiency. A split ALE finite element method developed for rigid-viscoplastic materials and applied to the analysis of hot square die extrusion. Since thermal state greatly affects the product quality, an ALE scheme for temperature analysis is also presented. As computational examples, profile shapes as square and cross-like sections are chosen.