• Title/Summary/Keyword: boundary elements

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Analysis of Multi-Layered Structural Systems Using Nonlinear Finite Elements-Boundary Elements (반무한 다중 구조계의 비선형 유한요소 - 경계요소 해석)

  • 김문겸;장정범;이상도;황학주
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1992.04a
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    • pp.58-64
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    • 1992
  • It is usual that underground structures are constructed within multi-layered medium. In this paper, an efficient numerical model ling of multi-layered structural systems is studied using coupled analysis of finite elements and boundary elements. The finite elements are applied to the area in which the material nonlinearity is dominated, and the boundary elements are applied to the far field area where the nonlinearity is relatively weak. In the boundary element model 1 ins of the multi-layered medium, fundamental solutions are restricted. Thus, methods which can utilize existing Kelvin and Melan solution are sought for the interior multi-layered domain problem and semi infinite domain problem. Interior domain problem which has piecewise homogeneous layers is analyzed using boundary elements with Kelvin solution; by discretizing each homogeneous subregion and applying compatibility and equilibrium conditions between interfaces. Semi-infinite domain problem is analyzed using boundary elements with Melan solution, by superposing unit stiffness matrices which are obtained for each layer by enemy method. Each methodology is verified by comparing its results which the results from the finite element analysis and it is concluded that coupled analysis using boundary elements and finite elements can be reasonable and efficient if the superposition technique is applied for the multi-layered semi-infinite domain problems.

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Triangular Mesh Generation Algorithm for Generating Nodes and Triangular Elements Concurrently (절점과 요소의 동시 생성을 위한 삼각 요소 알고리즘)

  • 천재홍;양현익
    • Korean Journal of Computational Design and Engineering
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    • v.5 no.3
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    • pp.207-214
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    • 2000
  • For last 20 years, a number of researches and developments on finite element mesh generation has been carried out and most of them are comported of node generation part and node generation part. However these algorithms are inefficient in mesh veneration process and difficult to control the shape of elements when comparing with the generation of nodes and elements concurrently. In this study, therefore, an algorithm it proposed to generate nodes and elements concurrently for various two-dimensional objects having multiple holes. Inner node generation is performed by choosing three consecutive boundary nodes and comparing them with other close boundary nodes. As soon as inner nodes are determined, element generation is conducted based on the comparison of the distances among the generated inner nodes, three consecutive boundary nodes and other close boundary nodes. the generated element nodes become new boundary nodes for further repeated process. The processes are repeated through out each region until three consecutive boundary nodes finally form a tirangular element.

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A Study on the Application of Boundary and Territory in Aspects of the Spatial Organization of Architecture (건축공간구성에 있어서 경계와 영역의 활용에 관한 연구)

  • Kwon, Se-Hoon
    • Journal of The Korean Digital Architecture Interior Association
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    • v.4 no.1
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    • pp.10-16
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    • 2004
  • Territory is determined by physical elements that provide the occupants an obvious boundary in a space. The creation of boundary is a interpersonal process by which a person or group regulates interactions with others. The perception of territory needs boundary regulations that mean the composition of horizontal and vertical elements in architectural space. The perception of territory can be defined as perceptual reaction considering not only visual perception on the physical elements in the architectural space and also various kinds of social activity in architectural environment. To achiever territory in architectural space, visible and invisible boundary regulation should be need. It means that territorial boundary regulation needs visual and audial boundary regulation as well as spatial boundary regulation.

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A Boundary Curve Extraction Method using Triangular Elements of a Lightweight Model (경량 모델의 삼각 요소망으로부터 경계 곡선 추출 방법)

  • Kwon, Ki-Youn
    • Korean Journal of Computational Design and Engineering
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    • v.22 no.1
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    • pp.28-36
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    • 2017
  • Sharing of CAD data plays a key role in the PLM and a lightweight model is widely used for visualizing and sharing a large data. The lightweight model is mainly composed of triangular elements to minimize file size. There is no problem at all to visually confirm the shape based on these triangular elements but there is a limit to numerically calculate the exact position on the curve or surface. In this paper, a boundary curve generation method using triangular elements is proposed to increase the utilization of lightweight models. After matching connectivity of triangular elements, boundary element edges are extracted. Boundary curves are generated by connecting of these boundary element edges. This proposed method has been tested on several models to demonstrate the feasibility.

A Coupling of Finite Elements and Boundary Elements for Half Plane Problems (반무한영역 문제에 대한 유한요소와 경계요소의 조합)

  • 김문겸;임윤묵
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1988.10a
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    • pp.49-54
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    • 1988
  • A procedure which may be useful in dealing with problems of half plane is considered. Boundary elements are combined with finite elements to facilitate their merits. Boundary elements for semi-infinite region are composed using the Melan's solution for half plane. Finite elements are used to model irregurarity or the nonhomogeneity of materials, which is usual in underground structures. In order to verify the procedure, a shallow tunnel under internal pressure is analysed using the finite element method, the boundary element method, and the combined method. It is shown that the developed Procedure is accurate enough compared with other method.

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Capacity design of boundary elements of beam-connected buckling restrained steel plate shear wall

  • Liu, Wen-Yang;Li, Guo-Qiang;Jiang, Jian
    • Steel and Composite Structures
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    • v.29 no.2
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    • pp.231-242
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    • 2018
  • As a lateral load resisting component, buckling restrained steel plate shear walls (BRW) have excellent energy dissipating capacity. Similar to thin steel plate shear walls, the mechanical behavior of BRWs depends on the boundary elements (adjacent beams and columns) which need adequate strength and stiffness to ensure the complete yielding of BRWs and the emergence of expected plastic collapse mechanism of frame. This paper presents a theoretical approach to estimate the design forces for boundary elements of beam-connected BRW (i.e., The BRW is only connected to beams at its top and bottom, without connections to columns) using a fundamental plastic collapse mechanism of frame, a force transferring model of beam-connected BRW and linear beam and column analysis. Furthermore, the design method of boundary beams and columns is presented. The proposed approach does not involve nonlinear analyses, which can be easily and efficiently used to estimate the design forces of beams and columns in a frame with BRWs. The predicted design forces of boundary elements are compared with those from nonlinear finite element analyses, and a good agreement is achieved.

Development of FE Analysis Scheme for Milli-Part Forming Using Grain and Grain Boundary Element (입자요소를 이용한 미세 박판 부품의 유한요소 해석 기법 개발)

  • 구태완;김동진;강범수
    • Transactions of Materials Processing
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    • v.11 no.5
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    • pp.439-446
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    • 2002
  • This study presents a new computational model to analyze the grain deformation in a polycrystalline aggregate in a discrete manner and based directly in the underlying physical micro-mechanisms. When scaling down a metal forming process, the dimensions of the workpiece decrease but the microstructure of the workpiece remains the similar. Since the dimensions of the workpiece are very small, the microstructure especially the grain size will play an important role in micro forming, which is called size effects. As a result, specific characteristics have to be considered for the numerical analysis. The grains and grain boundary elements are introduced to model individual grains and grain boundary facets, respectively, to consider the size effects in the micro forming. The constitutive description of the grain elements accounts for the rigid-plastic and the grain boundary elements for visco-elastic relationships. The capability of the proposed approach is demonstrated through application of grain element and grain boundary element in the micro forming.

Coupled Distinct Element and Boundary Element Analysis of Problems Having Infinite or Semi-infinite Boundaries (개별요소와 경계요소 조합에 의한 무한 및 반무한 영역문제의 해석)

  • Huh, Taik Nyung;Kim, Moon Kyum;Hwang, Hak Joo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.4
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    • pp.81-93
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    • 1992
  • Numerical modeling of problems having infinite and semi-infinite boundaries is studied using a coupled method of distinct elements and boundary elements. The regions which are restricted on stress concentration area of loading points, excavation surface, and geometric discontinuity in the underground structures, are modeled using distinct elements, while the infinite and semi-infinite regions are modeled using linear boundary elements. Linear boundary elements for infinite and semi-infinite region are respectively composed using the Kelvin's and the Melan's solution, respectively. For the completeness, the boundary element method, the distinct element, and the coupled method of distinct elements and boundary elements are studied independently. The coupled method is verified and is applied to underground structures of infinite and semi-infinite regions. Through the comparison of the results, it is concluded that the coupled analysis may be used for discontinuous underground structures in the effective manner.

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Nonlinear Finite Element-Boundary Element Analysis of Multi-Layered Structural Systems (유한요소와 경계요소의 조합에 의한 다층 구조계의 비선형 해석)

  • 김문겸;허택녕;이상도
    • Computational Structural Engineering
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    • v.7 no.4
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    • pp.57-67
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    • 1994
  • It is usual that underground structures are constructed within a multi-layered medium. In this paper, an efficient numerical modelling of multi-layered structural systems is studied using coupled analysis of finite elements and boundary elements. The finite elements are applied to the area in which the material nonlinearity dominates, and the boundary elements are applied to the far field where the nonlinearity is relatively weak. In the boundary element modelling of the multi-layered medium, fundamental solutions are not readily available. Thus, methods which can utilize existing Kelvin solutions are sought for the interior multi-layered domain problem. The interior domain problem which has piecewise homogeneous layers is analyzed using boundary elements with Kelvin solution, by discretizing each homogeneous subdomain and enforcing compatibility and equilibrium conditions between interfaces. Developed methodology is verified by comparing its results with those from the finite element analysis and it is concluded that coupled analysis using boundary elements and finite elements can be reasonable and efficient.

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A Nonlinear Analysis of Half Plane Problems Using Coupling of Finite Elements and Boundary Elements (유한요소와 경계요소의 조합에 의한 반무한 영역 문제의 비선형해석)

  • 김문겸;임윤묵
    • Computational Structural Engineering
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    • v.2 no.1
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    • pp.55-64
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    • 1989
  • A procedure which may be useful in dealing with problems of half plane is considered. Boundary elements are combined with nonlinear finite elements to facilitate their merits. Boundary elements for semi-infinite region are composed using the Melan's solution for half plane. Nonlinear finite elements are used to model irregularity or nonhomogeneity of elasto-plastic materials, which is usual in underground structures. In order to verify the procedure, a shallow tunnel under internal pressure is analysed using the nonlinear finite element method and combined method. It is shown that the developed procedure is accurate enough compared with other method.

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