• 제목/요약/키워드: mixed finite element

검색결과 314건 처리시간 0.025초

A sectorial element based on Reissner plate theory

  • Akoz, A. Yalcin;Eratli, Nihal
    • Structural Engineering and Mechanics
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    • 제9권6호
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    • pp.519-540
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    • 2000
  • In this study, a new functional based on the Reissner theory, for thick plates on a Winkler foundation is obtained. This functional has geometric and dynamic boundary conditions. In deriving the new functional, the $G{\hat{a}}teaux$ differential is used. This functional which is in polar coordinates is also transformable into the classical potential energy equation. Bending and torsional moments, transverse shear forces, rotations and displacements are the basic unknowns of the functional. Two different sectorial elements are developed with $3{\times}8$ degrees of freedom (SEC24) and $4{\times}8$ degrees of freedom (SEC32). The accuracy of the SEC24 and SEC32 elements together are verified by applying the method to some problems taken from literature.

On the kinematic coupling of 1D and 3D finite elements: a structural model

  • Yue, Jianguang;Fafitis, Apostolos;Qian, Jiang
    • Interaction and multiscale mechanics
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    • 제3권2호
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    • pp.192-211
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    • 2010
  • In most framed structures the nonlinearities and the damages are localized, extending over a limited length of the structural member. In order to capture the details of the local damage, the segments of a member that have entered the nonlinear range may need to be analyzed using the three-dimensional element (3D) model whereas the rest of the member can be analyzed using the simpler one-dimensional (1D) element model with fewer degrees of freedom. An Element-Coupling model was proposed to couple the small scale solid 3D elements with the large scale 1D beam elements. The mixed dimensional coupling is performed imposing the kinematic coupling hypothesis of the 1D model on the interfaces of the 3D model. The analysis results are compared with test results of a reinforced concrete pipe column and a structure consisting of reinforced concrete columns and a steel space truss subjected to static and dynamic loading. This structure is a reduced scale model of a direct air-cooled condenser support platform built in a thermal power plant. The reduction scale for the column as well as for the structure was 1:8. The same structures are also analyzed using 3D solid elements for the entire structure to demonstrate the validity of the Element-Coupling model. A comparison of the accuracy and the computational effort indicates that by the proposed Element-Coupling method the accuracy is almost the same but the computational effort is significantly reduced.

고강도 콘크리트 디스크를 이용한 혼합모드 균열전파 (Mixed Mode Crack Propagation using the High Strength Concrete Disk)

  • 진치섭;김희성;박현재;김민철
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2000년도 가을 학술발표회논문집(I)
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    • pp.733-738
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    • 2000
  • It is difficult to obtain accurate fracture toughness values by RILEM committees proposed three point bend test(TPB) because the shape of load-deflection curve is irregular and final crack propagation occurs after some slow stable cracking. However, for disk test, fracture toughness is easily obtained from crack initial load. We examined the cracked high strength concrete disk and the experimental results were compared with the results by finite element analysis(FEA). Also we compared experimental fracture locus with theoretical fracture locus.

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A DOMAIN DECOMPOSITION PRECONDITIONER FOR STEADY GROUNDWATER FLOW IN POROUS MEDIA

  • Ghahreman, N.;Kerayechian, A.
    • Journal of applied mathematics & informatics
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    • 제7권3호
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    • pp.773-785
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    • 2000
  • In this paper an algorithm is presented based on the additive Schwarz method for steady groundwater flow in a porous medium. The subproblems in the algorithm correspond to the problem on a coarse grid and some overlapping subdomains. It will be shown that the rate of convergence is independent of the mesh parameters and discontinuities of the coefficients, and depends on the overlap ratio.

변태잠열을 고려한 담금과정의 열전도 해석 (Heat Distribution Analysis of an End-Quenching Process Considering Latent Heat of Transformation)

    • 한국생산제조학회지
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    • 제7권3호
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    • pp.79-84
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    • 1998
  • It is very difficult to analyze the transient temperature distribution during quenching of the steel because of coupled effects among temperature, structures and stresses. In this paper, using Inoue's equation of evolution and mixture rule, transient temperature distribution is calculated by the finite element method considering latent heat of transformation structure and temperature dependence of physical and mechanical prperties for the 0.45% carbon cylindrical steel bar with 40mm diameter and 20mm height during end-quenching.

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다중세포로 구성된 박벽 타원형 단면 복합재료 블레이드의 구조해석 (Structural Analysis of Thin-Walled, Multi-Celled Composite Blades with Elliptic Cross-Sections)

  • 박일주;정성남
    • Composites Research
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    • 제17권4호
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    • pp.25-31
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    • 2004
  • 본 연구에서는 다중세포로 구성된 타원형 단면 복합재료 블레이드의 정밀 1차원 보 해석모델을 개발하였다. 보의 정식화를 위하여 Reissner의 반보족에너지 함수를 이용하였으며, 고전적인 강성도 및 유연도법을 결합한 혼합보 이론 체계를 구축하였다. 타원단면의 특성계수들을 구하기 위해 단면의 외곽선을 유한개의 선분으로 분할하고 여기에 Gauss 적분을 수행하였다. 또한, 단면을 구성하는 각 세포에 대해 4개의 연속방정식이 충족되도록 구성하였다. 개발된 보 이론을 단일 및 이중세포로 구성된 타원형 복합재료 블레이드에 적용하였으며, 다차원 정밀 유한요소 해석 결과와 비교하여 그 타당성을 확보하였다.

비압축성 점성 유동의 수치적 해석을 위한 사각형-삼각형 혼합 격자계 (Quadrilateral-Triangular Mixed Grid System for Numerical Analysis of Incompressible Viscous Flow)

  • 심은보;박종천;류하상
    • 한국CDE학회논문집
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    • 제1권1호
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    • pp.56-64
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    • 1996
  • A quadrilateral-triangular mixed grid method for the solution of incompressible viscous flow is presented. The solution domain near the body surface is meshed using elliptic grid geneator to acculately simulate the viscous flow. On the other hand, we used unstructured triangular grid system generated by advancing front technique of a simple automatic grid generation algorithm in the rest of the computational domain. The present method thus is capable of not only handling complex geometries but providing accurate solutions near body surface. The numerical technique adopted here is PISO type finite element method which was developed by the present author. Investigations have been made of two-dimensional unsteady flow of Re=550 past a circular cylinder. In the case of use of the unstructured grid only, there exists a considerable amount of difference with the existing results in drag coefficient and vorticity at the cylinder surface; this may be because of the lack of the grid clustering to the surface that is a inevitable requirement to resolve the viscous flow. However, numerical results on the mixed grid show good agreements with the earlier computations and experimental data.

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혼합모드(Mode I+II)구현을 위한 2축 피로시험 JIG 설계 (Design of 2 Axles Fatigue Test JIG for the Materialization of Mixed Mode (Mode I+II))

  • 최성대;정선환;김기만;김잠규;최명수;김우재
    • 한국산업융합학회 논문집
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    • 제11권2호
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    • pp.59-64
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    • 2008
  • Elements of a mechanical structure are getting from multi-axles stress. so fatigue characteristic experiment Shall execute in multi-axles stress state. it is very hard to apply according to forms of a testing machine and implementation. In this study, 2 axles fatigue testing machine did a design and Development. a new JIG developed to realize a mixed mode. a stress state in mixed mode of a specimen had each other comparison using the Finite element method to examine propriety of a new JIG.

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혼합모드상태에서의 Al 5052-H32 셀프 피어싱 리벳 접합부의 피로강도 평가 (Fatigue Strength Evaluation of Self-Piercing Riveted Al 5052-H32 Joints under Mixed Mode Loading Conditions)

  • 곽진구;강세형;김호경
    • 한국안전학회지
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    • 제31권3호
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    • pp.1-7
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    • 2016
  • In this study, static and fatigue tests on the self-piercing riveted (SPR) joint were conducted using cross-shaped specimens with aluminum alloy (Al-5052) sheets. Mixed mode loading was achieved by changing the loading angles of 0, 45, and 90 degrees using a special fixture to evaluate the static and fatigue strengths of the SPR joints under mixed mode loading conditions. Simulations of the specimens at three loading angles were carried out using the finite element code ABAQUS. The fatigue specimens failed in an interfacial mode where a crack initiated at the upper sheet and propagated along the longitudinal direction and finally fractured Maximum principal stress, von-Mises effective stress failed to correlate the fatigue lifetimes at three loading angles. However, the equivalent stress intensity factor was found to be appropriate to correlate the fatigue lifetimes at three loading angles.

가중함수법과 유한요소해석에 의한 기계적 체결부에 존재하는 타원형 모서리균열의 임계 경사각 해석 (Critical Angle Analysis of Elliptical Corner Cracks in Mechanical Joints by Weight Function Method and Finite Element Analysis)

  • 허성필;양원호;고명훈
    • 한국항공우주학회지
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    • 제30권4호
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    • pp.1-9
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    • 2002
  • 항공기 동체에 널리 사용되고 있는 기계적 체결은 응력집중 및 접촉압력 등으로 인해 체결부로부터의 균열발생 가능성이 상대적으로 높다. 본 연구에서는 가중함수법을 적용하여 기계적 체결부에 존재하는 경사진 타원형 모서리균열의 표면점과 최심점에서의 혼합모드 응력확대계수 해석을 수행하였다. 가중함수에 포함된 미정계수들은 기준하중에 대한 유한 요소해석으로부터 구하였다. 경사각에 따른 응력확대계수의 변화를 해석하여 모드 I 응력 확대계수가 최대가 되는 임계 경사각을 결정하였고, 간극의 크기와 균열깊이가 임계 경사각에 미치는 영향을 조사하였다.