• Title/Summary/Keyword: 유한요소 해석법

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Analysis of Aggregate Base Behavior Using Layered Elastic and Finite Element Methods (다층탄성해석과 유한요소법을 사용한 골재기층의 거동분석)

  • Kim, Sung-Hee
    • International Journal of Highway Engineering
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    • v.11 no.1
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    • pp.195-201
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    • 2009
  • In this paper, the critical strains for pavement design were calculated from both Layered Elastic Program (LEP) and Finite Element Method (FEM) and the case studies which give similar critical responses were compared. Although FEM has been realized as a superior model, LEP is more favorable to pavement design due to its simplicity and thus, the technique to calculate the correct critical responses using LEP is significant. This study showed that KENLAYER can possibly estimate the critical responses close to ones obtained from TTIPAVE, which considers nonlinear cross-anisotropic behavior of unbound base materials, by adjusting the stress point locations.

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Two-Dimensional Model Analysis for Extended Finite Element Method(XFEM) Verification of General Purpose Finite Element Analysis Program (범용유한요소해석 프로그램의 확장유한요소법 성능 검증을 위한 2차원 모델 해석)

  • Lee, Young Hwan;Kim, Donghwan;Park, Jaegyun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.4
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    • pp.199-206
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    • 2018
  • In this study, numerical analysis is applied to a two - dimensional model for verifying the general finite element program, Abaqus' s extended finite element method(XFEM). The cohesive element model used in the existing research has a limitation in simulating the actual crack because of the disadvantage that the crack path should be predicted and the element should be inserted. For this reason, the extended finite element method(XFEM), which predicts the path of cracks based on the directionality and specificity of stress, is emerging as a new solution in crack analysis. The validity of the XFEM application was confirmed by comparing the cohesive element analysis with the XFEM analysis by applying the crack path to the self - evident two - dimensional model. Numerical analysis confirms stress distribution and stress specificity immediately before crack initiation and compares it with actual crack initiation path. Based on this study, it is expected that cracks can be simulated by performing actual crack propagation analysis of complex models.

Review and Analysis of Boundary Conditions for SPH Particles (SPH 입자의 경계조건 분석 및 해석)

  • Lee, Min-A;Tak, Moon-Ho;Park, Tae-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.756-759
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    • 2011
  • 일반적으로 컴퓨터를 이용한 수치 해석에는 격자 수치 해석 방법인 유한요소법 또는 유한차분법이 주로 사용되어 왔다. 그러나 이러한 방법들은 해석하고자 하는 영역을 요소나 격자 등으로 분할해야 하기 때문에 복잡한 현상들을 다루는 데 어려움을 갖게 된다. 이를 극복하기 위해 개발된 방법이 무요소법(Meshfree Method)이며 본 논문에서는 다양한 무요소법들 중 SPH(Smoothed Particle Hydrodynamics)가 고려되어진다. SPH는 라그랑지안 수치 근사 기법을 사용하는 입자법(Particle Method)으로 SPH를 정확하게 실행하기 위해서는 적절한 경계 처리법이 요구된다. 그러나 기존의 경계 처리법은 유체 입자의 침투현상 및 커널(Kernel) 끊김 현상이 발생하기 때문에 적합하지 않다. 따라서 지금까지 SPH의 경계 처리법을 향상시키기 위해 다양한 접근법들이 제안되었으며 본 논문에서는 이러한 접근법들 중 정반사(Specular Reflection), 재회복(Bounce-back), 재도입(Reintroduce) 방법 및 경계 반발력(Repulsive Force)과 가상 입자(Ghost Particle)의 적용이 분석되고 현상 접목을 통해 적절한 경계 처리법이 제안되어진다.

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Numerical Analysis of EPB TBM Driving using Coupled DEM-FDM Part I : Modeling (개별요소법과 유한차분법 연계 해석을 이용한 EPB TBM 굴진해석 Part I : 모델링)

  • Choi, Soon-wook;Lee, Hyobum;Choi, Hangseok;Chang, Soo-Ho;Kang, Tae-Ho;Lee, Chulho
    • Tunnel and Underground Space
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    • v.30 no.5
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    • pp.484-495
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    • 2020
  • To numerically simulate the advance of EPB TBM, various type of numerical analysis methods have been adopted including discrete element method (DEM), finite element method (FEM), and finite difference method (FDM). In this paper, an EPB TBM driving model was proposed by using coupled DEM-FDM. In the numerical model, DEM was applied in the TBM excavation area, and contact properties of particles were calibrated by a series of triaxial tests. Since the ground around the excavation area was coupled with FDM, the horizontal stress considering the coefficient of earth pressure at rest could be applied. Also, the number of required particles was reduced and the efficiency of the analysis was increased. The proposed model can control the advance rate and rotational speed of the cutter head and screw conveyor, and derive the torque, thrust force, chamber pressure, and discharging during TBM tunnelling.

Adaptive Mesh Refinement and Multigrid FEM by Error Estimation (오차추정에 의한 순응형요소분할과 다단계 유한요소해석)

  • Yang, P.D.C.;Hwang, M.Y.
    • Journal of the Society of Naval Architects of Korea
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    • v.33 no.1
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    • pp.90-97
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    • 1996
  • The optimal mesh refinement has a meaning that error of the every element is within an allowable level and in uniformly distributed. The adaptive mesh generation may be required to achieve the optimal mesh generation. For the purpose of optimal mesh generation, an error estimation and an adaptive mesh refinement are required. Using the adaptive mesh generation the second finite element analysis is performed with the result of the first analysis. In the process the error estimation is required. In this study the adaptive mesh generation program for triangular element is developed, and for a posteriori error estimation the stress projection approach is considered. It has been found the multigrid technique, where the error estimation and the mesh generation are combined in multi-step of analysis, may be used efficiently in the finite element analysis.

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Ship Structural Reliability Analysis by Probabilistic Finite Element Method (확률 유한요소법에 의한 선체 구조 신뢰성해석)

  • S.J. Yim;Y.S. Yang;J.H. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.241-250
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    • 1991
  • The reliability analysis for web frame of tanker is carried out by the probabilistic finite element method combined with the classical reliability method such as MVFOSM and AFOSM which can be used for calculating the probability of failure for the complicated structures in which the limit state equation is implicitly expressed. As random variables external load, elastic modulus, sectional moment of inertia and field stress are chosen and Parkinson's iteration algorithm in AFOSM is used for reliability analysis. By adding only the covariance data of the random variables to the input data set required for conventional finite element method, the present method can easily calculate the probability of failure at every element end as well as the covariances of structural reponses such as displacements at every element end and member forces at every element, even for the complicated ship structure.

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Deformation Characteristics of Diaphragm Wall Induced by Deep Excavation(II) -Numerical Analysis- (대규모 굴착공사에 따른 지중연속벽체의 변형특성(II) -수치해석-)

  • 김동준;이병철;김동수;양구승
    • Journal of the Korean Geotechnical Society
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    • v.17 no.4
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    • pp.107-115
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    • 2001
  • 해성토층 위에 준설매립된 수도권 해안매립지역에서 원형의 대심도 굴착공사로 인하여 발생하는 지중연속벽의 수평변위를 예측하기 위하여 수치해석을 수행하였고, 이러한 수치해석결과와 현장측정값을 비교하여 각각의 수치해석방법의 적용성을 평가하였다. 수치해석법으로는 지반반력해석, 선형 유한요소법 그리고 비선형 유한요소법이 수행되었다. 각각의 방법들에서는 미소변형률에서의 지반거동특성인 비선형성과 굴착으로 인한 구속압감소효과를 고려한 경우와 고려하지 않은 경우에 대하여 수치해석을 수행하여 각각 그 결과들을 비교.분석하였다. 이러한 분석결과 미소변형률에서의 비선형성과 굴착으로 인한 구속압감소 효과를 고려한 비선형 유한요소해석법이 가장 정확하게 수평변위를 예측할 수 있는 방법임을 알 수 있었다.

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A Study on the r-h methods in Finite Element Analysis (유한요소해석에서 r-h형 적응법에 관한 연구)

  • 김동일;유형선
    • Computational Structural Engineering
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    • v.6 no.3
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    • pp.125-137
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    • 1993
  • Recently, many researches are being dealt with the adaptive method for improving the accuracy of finite element solution. This paper deals with rh-methods that are the combination of r and h-method ; r-method is to relocate the nodes for the grid optimization, h-method is to divide the elements with great error into the equal shape. As a results, rh-method has the same error decrease and convergence as h-method in the same degree of freedom, but it has more exact result of finite element in the state of restraining degrees of freedom than h-method alone.

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Comparison of analysis methods of estimating behavior of soil mass above rigid culvert (암거 상부지반의 거동 평가를 위한 해석법 비교)

  • Lee, Seung-Hyun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.8
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    • pp.71-77
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    • 2018
  • In order to estimate behavior of soil mass which is located straight up of reinforced concrete culvert, Ritz method and FEM were applied and arching effects between the soil mass and adjacent soil were considered for the analyses. Analysis results obtained from the Ritz method and finite element method were compared with analytical solution. In the case of estimating nodal forces considered in FEM, caution is needed that shear stress depending on depth from ground surface should be reflected regardless of local coordinate system. Comparing the displacements computed from Ritz method with those of the analytic solution, it is seen that as the power of assumed displacement function increases, differences between the computed displacements and those of analytic solution decreases. It seems that displacements of FEM becomes closer to those of analytical solution as the number of elements are increased. It is seen that stresses computed from the Ritz method don't get closer to those of the analytic solution as the power of assumed displacement function. Stresses from FEM become closer to those of analytic solution as the number of elements are increased. Comparing the analysis results from the Ritz method and FEM with those of analytic solution, it can be seen that FEM is more reliable than Ritz method.