• 제목/요약/키워드: finite dimensional continuous

검색결과 116건 처리시간 0.027초

횡하중을 받는 SiC/Ti-15-3 MMC 복합재 계면영역에서의 탄소성 응력장분포거동(I) (Elastic-Plastic Stress Distributions Behavior in the Interface of SiC/Ti-15-3 MMC under Transverse Loading(I))

  • 강지웅;김상태;권오헌
    • 한국안전학회지
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    • 제19권4호
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    • pp.25-30
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    • 2004
  • Unidirectional fiber-metal matrix composites have superior mechanical properties along the longitudinal direction. However, the applicability of continuous fiber reinforced MMCs is somewhat limited due to their relatively poor transverse properties. Therefore, the transverse properties of MMCs are significantly influenced by the properties of the fiber/matrix interface. In this study, the interfacial stress states of transversely loaded unidirectional fiber reinforced metal matrix composites investigated by using elastic-plastic finite element analysis. Different fiber volume fractions $(5-60\%)$ were studied numerically. The interface was treated as thin layer (with different properties) with a finite thickness between the fiber and the matrix. The fiber is modeled as transversely isotropic linear-elastic, and the matrix as isotropic elastic-plastic material. The analyses were based on a two-dimensional generalized plane strain model of a cross-section of an unidirectional composite by the ANSYS finite element analysis code.

격자 정방형화 방법을 이용한 박판 성형해석의 효율개선 (Efficiency enhancement of sheet metal forming analysis with a mesh regularization method)

  • 윤종헌;허훈
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2003년도 춘계학술대회논문집
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    • pp.339-342
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    • 2003
  • This paper newly proposes a mesh regularization method for the enhancement of the efficiency in sheet metal forming analysis. The regularization method searches for distorted elements with appropriate searching criteria and constructs patches including the elements to be modified. Each patch is then extended to a three-dimensional surface in order to obtain the information of the continuous coordinates. In constructing the surface enclosing each patch, NURBS(Non-Uniform Rational B-Spline) surface is employed to describe a three-dimensional free surface. On the basis of the constructed surface, each node is properly arranged to form unit elements as close as to a square. The analysis results with the proposed method are compared to the results from the direct forming analysis without mesh regularization in order to confirm the validity of the method.

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INVARIANCE OF DOMAIN THEOREM FOR DEMICONTINUOUS MAPPINGS OF TYPE ( $S_+$)

  • Park, Jong-An
    • 대한수학회보
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    • 제29권1호
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    • pp.81-87
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    • 1992
  • Wellknown invariance of domain theorems are Brower's invariance of domain theorem for continuous mappings defined on a finite dimensional space and Schauder-Leray's invariance of domain theorem for the class of mappings I+C defined on a infinite dimensional Banach space with I the identity and C compact. The two classical invariance of domain theorems were proved by applying the homotopy invariance of Brower's degree and Leray-Schauder's degree respectively. Degree theory for some class of mappings is a useful tool for mapping theorems. And mapping theorems (or surjectivity theorems of mappings) are closely related with invariance of domain theorems for mappings. In[4, 5], Browder and Petryshyn constructed a multi-valued degree theory for A-proper mappings. From this degree Petryshyn [9] obtained some invariance of domain theorems for locally A-proper mappings. Recently Browder [6] has developed a degree theory for demicontinuous mapings of type ( $S_{+}$) from a reflexive Banach space X to its dual $X^{*}$. By applying this degree we obtain some invariance of domain theorems for demicontinuous mappings of type ( $S_{+}$). ( $S_{+}$).

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격자 정방형화 방법을 이용한 박판 성형해석의 효율개선 (Efficiency Enhancement in Sheet Metal Forming Analysis with a Mesh Regularization Method)

  • 윤종헌;허훈
    • 소성∙가공
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    • 제12권4호
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    • pp.401-407
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    • 2003
  • This paper newly proposes a mesh regularization method for the enhancement of the efficiency in sheet metal forming analysis. The regularization method searches for distorted elements with appropriate searching criteria and constructs patches including the elements to be modified. Each patch is then extended to a three-dimensional surface in order to obtain the information of the continuous coordinates. In constructing the surface enclosing each patch, NURBS(Non-Uniform Rational B-Spline) surface is employed to describe a three-dimensional free surface. On the basis of the constructed surface, each node is properly arranged to form unit elements as close as to a square. The state variables calculated from its original mesh geometry are mapped into the new mesh geometry for the next stage or incremental step of a forming analysis. The analysis results with the proposed method are compared to the results from the direct forming analysis without mesh regularization in order to confirm the validity of the method.

Improvements to the analysis of floorbeams with additional web cutouts for orthotropic plated decks with closed continuous ribs

  • De Corte, Wouter;Van Bogaert, Philippe
    • Steel and Composite Structures
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    • 제7권1호
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    • pp.1-18
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    • 2007
  • Additional cutouts in the floorbeam webs of orthotropic plated bridge decks relieve the highly stressed lower flange of the ribs passing through these floorbeam webs from possible fatigue damage. Conversely, the floorbeam webs themselves suffer from high stress concentrations, especially along the free edges of the additional cutouts. These stresses result from a combination of direct introduction of vertical traffic loads in the weakened web and from the truss action of the floorbeam. The latter differs from a simple beam action due to the presence of the openings and corresponds more to the behaviour of a Vierendeel truss. Close assessment of the appearing stresses, highly relevant for fatigue resistance, requires the use of elaborate finite element modelling. However, a full finite element analysis merely provides the results of total stresses, leaving the researcher or designer the difficult task of finding the origin of these stress components. This paper presents a calculation method for cutout stresses based on a combination of a framework analysis and a two dimensional finite element analysis of much smaller parts of the floorbeam. This method provides more insight in the origin of the stress components, as well as it simplifies any comparison of different additional cutout geometries, independent of the floorbeam topology.

내부 열용량을 고려한 수직 지중열교환기의 3차원 수치 모델 개발 (Development of a Three-Dimensional Numerical Model of the Vertical Ground-Coupled Heat Exchanger Considering the Effects of the Thermal Capacity)

  • 김의종
    • 설비공학논문집
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    • 제28권7호
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    • pp.293-298
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    • 2016
  • A three-dimensional (3D) numerical model of the vertical ground-coupled heat exchanger is useful for analyzing the modern ground source heat pump system. Furthermore, a detailed description of the inner side of the exchanger allows to account for the effects of the thermal capacity. Thus, both methods are included in the proposed numerical model. For the ground portion, a FDM (Finite Difference Method) scheme has been applied using the Cartesian coordinate system. Cylindrical grids are applied for the borehole portion, and the U-tube configuration is adjusted at the grid, keeping the area and distance unchanged. Two sub-models are numerically coupled at each time-step using an iterative method for convergence. The model is validated by a reference 3D model under a continuous heat injection case. The results from a periodic heat injection input show that the proposed thermal capacity model reacts more slowly to the changes, resulting in lower borehole wall temperatures, when compared with a thermal resistance model. This implies that thermal capacity effects may be important factors for system controls.

연성포장의 3차원 유한요소해석을 위한 최적 경계조건 분석 (Appropriate Boundary Conditions for Three Dimensional Finite Element Implicit Dynamic Analysis of Flexible Pavement)

  • 유평준;;김연복
    • 한국도로학회논문집
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    • 제10권4호
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    • pp.213-224
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    • 2008
  • 트럭 축하중에 의한 도로포장체의 응력과 변형은 대부분 다층 탄성 이론에 의해 예측된다. 대부분의 다층 탄성 이론에 의한 이론적 계산값이 연성 포장 재료의 점탄성적 거동특성, 동적 트럭 축하중, 비균등 타이어 접지압 및 형상등을 해석에 고려하지 못하므로, 계측값에 비해 매우 작은 값을 예측하므로서 도로 포장 두께설계가 과소 설계될 우려가 크다. 이와 같은 도로 포장체 구조해석시 이용되는 중요한 변동요소를 포장 재료의 물성 모델 측면, 비균등 접지압 및 형상 측면, 동적 유한요소해석 측면에서 분석하여 이용 가능한 모델을 본 논문에서 제안하였다. 경계조건 및 민감도 분석을 수행을 통한 효과적인 3차원 연성포장의 유한요소해석모델을 결정하는 방법론을 제안하였으며, 최적 유한요소모델 분석결과와 현장에서 취득한 결과와의 상호비교를 통하여 모델의 유의성을 검증하였으며, 동적 접지하중조건, 점탄성물성 모델 등을 3차원 유한요소 모델에 접목하고, 최적 경계조건을 결정하였다.

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헴트 소자의 해석적 직류 모델 (An Analytical DC Model for HEMT's)

  • 김영민
    • 대한전자공학회논문지
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    • 제26권6호
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    • pp.38-47
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    • 1989
  • 헴트(HEMT) 소자의 순수 해석적 DC모델이 2차원 전하제어 시뮬레이션 결과[4]에 기초하여 제작되었다. 이 모델에서는 2-DEG 채널의 전자 운송 역학에 확산 효과를 추가하였다. 이 확산효과는 기존 1차원 DC모델에서 사용하는 전자 이동도 및 문턱전압을 증가시키는 효과를 가졌음을 보였다. 또한 2-DEG 농도분포함수를 piecewise 선형화하여 HEMT 소자의 subthreshold 특성의 해석적 모델을 추가하였고, 따라서 2-DEG의 채널 두께 및 게이트 용량을 게이트 전압의 함수로 나타내었다. I-V curve의 전류포화영역에서의 기울기를 모델하는데는 gate 밑의 전자포화채널 지역에서의 전자채널두께와 채널길이 변조현상을 함께 고려하였다. Troffimenkoff형의 전장의존 전자이동도를 사용하여 I-V곡선의 포화현상을 모델하였다. 또한 기존 1차원 모델에서 감안되지 않은 2차원 효과가 실제 전류특성곡선에서 매우 중요한 역할을 하며, 이 효과가 효과적으로 1개의 보정상수f로 보상됨을 보였고, 물리적으로 이 상수가 채널 GCA 지역과 채널포화지역 사이에 형성되는 채널천이지역의 전자농도와 관계됨을 보였다.

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다양한 차량주행에 의한 박스형 장대교량의 동적 응답에 관한 실험적 연구 (Experimental Study on the Dynamic Response of Box Girder Long-Span Bridges under Various Travelling Vehicles)

  • 이래철;이상열;임성순
    • 한국구조물진단유지관리공학회 논문집
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    • 제8권1호
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    • pp.129-138
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    • 2004
  • 본 연구는 현장 계측 실험에 의하여 주행 차량하중을 받는 2경간 P.S.C. 박스형 교량의 동적 해석을 수행하였다. 본 연구에서 적용한 이동하중은 차량 속도의 증가에 대해 주행하중, 급제동하중, 연행하중, 역주행하중, 역 주행 충격하중 등으로 분류하여 실험을 행하였다. 각 주행 하중에 대해 박스 거더 단면에서의 계측위치를 달리하여 동적 거동의 변화 및 특성을 살펴보았으며, 절점당 6개의 자유도를 갖는 4절점 쉘요소를 이용한 유한요소 해석 프로그램을 개발하고 수치해석을 하여 실험결과와 비교 분석하였다. 박스 거더의 동적 거동은 주행하중에 의한 응답보다 급제동이나 역주행 충격하중에 의한 응답이 더 크게 나왔으며 수치해석 결과는 기존의 1차원 보요소를 사용하여 해석한 결과보다 실험값에 근접함을 보였다.

Strengthening of perforated walls in cable-stayed bridge pylons with double cable planes

  • Cheng, Bin;Wu, Jie;Wang, Jianlei
    • Steel and Composite Structures
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    • 제18권4호
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    • pp.811-831
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    • 2015
  • This paper focuses on the strengthening methods used for improving the compression behaviors of perforated box-section walls as provided in the anchorage zones of steel pylons. Rectangular plates containing double-row continuous elliptical holes are investigated by employing the boundary condition of simple supporting on four edges in the out-of-plane direction of plate. Two types of strengthening stiffeners, named flat stiffener (FS) and longitudinal stiffener (LS), are considered. Uniaxial compression tests are first conducted for 18 specimens, of which 5 are unstrengthened plates and 13 are strengthened plates. The mechanical behaviors such as stress concentration, out-of-plane deformation, failure pattern, and elasto-plastic ultimate strength are experimentally investigated. Finite element (FE) models are also developed to predict the ultimate strengths of plates with various dimensions. The results of FE analysis are validated by test data. The influences of non-dimensional parameters including plate aspect ratio, hole spacing, hole width, stiffener slenderness ratio, as well as stiffener thickness on the ultimate strengths are illustrated on the basis of numerous parametric studies. Comparison of strengthening efficiency shows that the continuous longitudinal stiffener is the best strengthening method for such perforated plates. The simplified formulas used for estimating the compression strengths of strengthened plates are finally proposed.