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RISS 인기검색어
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- 주제어 : generalized FEM (검색결과 5 건)
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O'Hara, P.,Duarte, C.A.,Eason, T. Techno-Press 2010 Interaction and multiscale mechanics Vol.3 No.3
This paper investigates the heat equation for domains subjected to an internal source with a sharp spatial gradient. The solution is first approximated using linear finite elements, and sufficiently small time-step sizes to yield stable simulations. The main area of interest is then in the ability to approximate the solution using Generalized Finite Elements, and again explore the time-step limitations required for stable simulations. Both high order elements, as well as elements with special enrichments are used to generate solutions. When compared to linear finite elements, the high order elements deliver better accuracy at a given level of mesh refinement, but do not offer an increase in critical time-step size. When special enrichment functions are used, the solution can be approximated accurately on very coarse meshes, while yielding solutions which are both accurate and computationally efficient. The major conclusion of interest is that the significantly larger element size yields larger allowable time-step sizes while still maintaining stability of the time-stepping algorithm.
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The Application of Built-in Beam Element Method in the Aqueduct Pile Foundation Analysis
Shiyang Pan,Tongchun Li,Xiao Qing Liu,Jian-qun Zhu,Zhen Cui,Zhengyi Wang 대한토목학회 2023 KSCE Journal of Civil Engineering Vol.27 No.7
The solution using built-in beam element method to increase the calculation efficiency of aqueduct pile foundations is studied in this work. The formulations of built-in beam element method based on the normal generalized displacement method of beam element are introduced in this work. Then, the validity of the built-in beam element method is checked by a static problem of a simplified aqueduct model. Furthermore, the solution to increase calculation efficiency by built-in beam element method for aqueduct pile foundations is introduced by studying the features of built-in beam element method and normal generalized displacement method of beam element in models with different grid density and foundation stiffness. Finally, a static problem of an arch aqueduct is solved using the summed solution. The results show that it is feasible to improve efficiency with sufficient accuracy by reasonably selecting the built-in beam element method and normal generalized displacement method in the analysis of aqueduct pile foundation.
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도심지 굴착에 따른 토류구조물 및 인접지반의 유한요소 해석기법
이봉렬,김광진,김학문,Lee, Bong-Ryeol,Kim, Gwang-Jin,Kim, Hak-Mun 한국지반공학회 1997 지반 : 한국지반공학회지 Vol.13 No.5
도심지 지반굴착 해석을 위한 전용 유한요소 프로그램(EM)을 개발하였다. 기존 범용 프로그램과는 달리 사용자가 간단한 입력자료를 작성하고 전.후처리는 자동으로 도화 출력되므로 굴 착해석에 쉽게 사용될 수 있도록 하였다. 특히, 새로 개발된 GDHM재료모델 ((GDHM, General ized Decoupled Hyperbolic Model)은 8면체평면상에서의 응력경로에 따른 강도변화를 고려하였다. 개발된 EM프로그램은 대형 굴착토조모형실험 결과와 비교 검토함으로서 개발된 재료모델과 굴착전용프로그램의 신뢰성을 검증하여 비교적 정확도가 높은 결과를 얻었고, 향후 미비점을 보완, 개선하여야 한다. A finite element computer program is developed for the specific analysis of earth retaining structures in urban excavation. Unlike the existing multi -purpose FEM programs, the newly developed program (EM) consists of very simple and easy data processing system for the urban excavation. A non-linear material model(GDHM, Generalized Decoupled Hyperbolic Models is deviloped and implemented in the program EM. The results of large scale model tests for earth retaining structures are used for the vertification of EM along whit GDHM, and the results were satisfactory, but it was found that the program EM needs minor modification for the improvement of its accuracy.
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범용유한요소해석 프로그램의 확장유한요소법 성능 검증을 위한 2차원 모델 해석
이영환,김동환,박재균 한국전산구조공학회 2018 한국전산구조공학회논문집 Vol.31 No.4
범용유한요소프로그램인 Abaqus의 확장유한요소법(XFEM)의 사용성 검증을 위하여 2차원 모델에 적용하여 수치해석을 수행하였다. 기존의 연구에 많이 사용되었던 응집요소(cohesive element) 모델은 균열 경로를 예측하고 요소를 삽입하여야 하는 단점 때문에 실제 균열을 모사하는데 한계가 있다. 이러한 이유로 응력의 방향성 및 특이성을 바탕으로 균열의 경로를 예측하는 확장유한요소법(XFEM)이 균열 해석에 있어서 더 발전된 방법으로 이용되어 왔다. 이번 연구에서는 균열의 경로가 자명한 2차원 모델에 사용하여 응집요소해석과 XFEM에 응집요소의 물성을 적용한 해석을 비교하고 XFEM 적용의 타당성을 확인하였다. 수치해석으로 균열 발생 직전의 응력분포 및 응력 특이성을 확인하고 실제 균열 발생경로와의 비교를 한다. 본 연구를 바탕으로 몇 가지의 한계를 극복하면 실제 복잡한 모델의 실제 균열진전해석을 수행하여 균열을 모사할 수 있을 것으로 기대된다. 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.
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