• Title/Summary/Keyword: triangular element

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The Finite Element Analysis of Fatigue Crack Opening Behavior Using Two Dimensional Eight Node Isoparametric Element (2차원 8절점 등매개요소를 사용한 피로크랙개구거동의 유한요소해석)

  • Song, Sam-Hong;Kim, Hyun
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.2
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    • pp.271-277
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    • 1994
  • The fatigue crack opening behavior is analyzed using finite element method. Because extremely fine mesh subdivision is required when using constant stress constant strain triangular element, this study uses conventional two dimensional eight node isoparametric elements. Since plasitc zone size is similar to crack propagating length per each load cycle because of relatively large element size, a new analysis model that a crack propagates every two load cycle is suggested. the opening load and crack opening displacement can be obtained accurately by this method.

FINITE ELEMENT BASED FORMULATION OF THE LATTICE BOLTZMANN EQUATION

  • Jo, Jong-Chull;Roh, Kyung-Wan;Kwon, Young-W.
    • Nuclear Engineering and Technology
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    • v.41 no.5
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    • pp.649-654
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    • 2009
  • The finite element based lattice Boltzmann method (FELBM) has been developed to model complex fluid domain shapes, which is essential for studying fluid-structure interaction problems in commercial nuclear power systems, for example. The present study addresses a new finite element formulation of the lattice Boltzmann equation using a general weighted residual technique. Among the weighted residual formulations, the collocation method, Galerkin method, and method of moments are used for finite element based Lattice Boltzmann solutions. Different finite element geometries, such as triangular, quadrilateral, and general six-sided solids, were used in this work. Some examples using the FELBM are studied. The results were compared with both analytical and computational fluid dynamics solutions.

SOME STRONGLY NIL CLEAN MATRICES OVER LOCAL RINGS

  • Chen, Huanyin
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.4
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    • pp.759-767
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    • 2011
  • An element of a ring is called strongly nil clean provided that it can be written as the sum of an idempotent and a nilpotent element that commute. A ring is strongly nil clean in case each of its elements is strongly nil clean. We investigate, in this article, the strongly nil cleanness of 2${\times}$2 matrices over local rings. For commutative local rings, we characterize strongly nil cleanness in terms of solvability of quadratic equations. The strongly nil cleanness of a single triangular matrix is studied as well.

A study of Heat Transfer by the Finite Element Method - Around Square Heat Source - (유한요소법에 의한 열전달 연구 -4각열원 주위-)

  • 장재은
    • Journal of the Korean Society of Safety
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    • v.13 no.1
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    • pp.26-33
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    • 1998
  • This paper subdivided the interior solid into triangular shape of equal size to calculate the temperature distribution around the square heat source of it, and compared calculated values with measured ones. The result obtained are as follows. 1) It was found that we can calculate the temperature distribution around the square heat source of interior solid by the variational method of the finite element method as the calculated values were almost accord with the measured ones. 2) The temperature distributed were higher when the distances between heat source were farther and lower when those nearer. 3) Vertical surface temperature distribution is remarkably efficient by thermal conductivities.

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Code Development for Conductive/Convective Heat Transfer on 2D Unstructured Mesh (2차원 비정렬 격자를 이용한 전도 및 대류 열전달 계산 코드 개발)

  • Chae E. .M.;Sah J.-Y.
    • 한국전산유체공학회:학술대회논문집
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    • 1998.05a
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    • pp.123-127
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    • 1998
  • A computer code has been developed for an analysis of conduction and convection heat transfer on a personal computer. FVM based on unstructured mesh has been employed for triangular and quadrilateral element. All variable of p, u, v, T, k and ${\varepsilon}$ has been defined on a node (not on a center of element). The code possesses the pre-and post-processor for itself to provide user-friendly interface.

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EQUIVALENT MATERIAL PROPERTIES OF PERFORATED PLATE WITH TRIANGULAR OR SQUARE PENETRATION PATTERN FOR DYNAMIC ANALYSIS

  • Jhung, Myung-Jo;Jo, Jong-Chull
    • Nuclear Engineering and Technology
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    • v.38 no.7
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    • pp.689-696
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    • 2006
  • For a perforated plate, it is challenging to develop a finite element model due to the necessity of the fine meshing of the plate, especially if it is submerged in fluid. This necessitates the use of a solid plate with equivalent material properties. Unfortunately, the effective elastic constants suggested by the ASME code are deemed not valid for a modal analysis. Therefore, in this study the equivalent material properties of a perforated plate are suggested by performing several finite element analyses with respect to the ligament efficiencies.

STRONG P-CLEANNESS OF TRIVIAL MORITA CONTEXTS

  • Calci, Mete B.;Halicioglu, Sait;Harmanci, Abdullah
    • Communications of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1069-1078
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    • 2019
  • Let R be a ring with identity and P(R) denote the prime radical of R. An element r of a ring R is called strongly P-clean, if there exists an idempotent e such that $r-e=p{\in}P$(R) with ep = pe. In this paper, we determine necessary and sufficient conditions for an element of a trivial Morita context to be strongly P-clean.

Equi-Value Line Program Development for 3-Dimensional Finite Element Models using Personal Computer (개인용 컴퓨터를 이용한 3차원 유한요소 등가곡선 프로그램 개발)

  • Lee, Seok-Soon
    • Journal of the Korean Society for Precision Engineering
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    • v.9 no.1
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    • pp.44-52
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    • 1992
  • A post-processor is developed to be effectively usable in the personal computer. 3-dimensional controur lines are shown on the surface of the finite element model and also on the 3-dimensional cutting plane, using the function linearly interpolated onto the triangular elements which are constructed on the surface or sectional polygons. And these polygons are originated from the finite element model, 3-dimensional model is projected on the plane with hidden line removal by comparision technique[6]. The graphic data file is used to increase the protability of the program. It is easy to use in the other computer system if the graphic routine adopted that computer system is developed. The developed program has wide applications in 3-dimensional finite element analysis.

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Free vibration analysis of gravity dam-reservoir system utilizing 21 node-33 Gauss point triangular elements

  • Ziaolhagh, Seyed Hamid;Goudarzi, Meghdad;Sani, Ahmad Aftabi
    • Coupled systems mechanics
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    • v.5 no.1
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    • pp.59-86
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    • 2016
  • This paper deals with the free vibration analysis of a dynamical coupled system: flexible gravity dam- compressible rectangular reservoir. The finite element method is used to compute the natural frequencies and modal shapes of the system. Firstly, the reservoir and subsequently the dam is modeled by classical 8-node elements and the natural frequencies plus modal shapes are calculated. Afterwards, a new 21-node element is introduced and the same procedure is conducted in which an efficient method is employed to carry out the integration operations. Finally, the coupled dam-reservoir system is modeled by solely one 21-node element and the free vibration of dam-reservoir interaction system is investigated. As an important result, it is clearly concluded that the one high-order element treats more precisely than the eight-node elements, since the first one utilizes fifth-degree polynomials to construct the shape functions and the second implements polynomials of degree two.