• Title/Summary/Keyword: Technology Elements

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The patch tests and convergence for nonconforming Mindlin plate bending elements

  • Park, Yong-Myung;Choi, Chang-Koon
    • Structural Engineering and Mechanics
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    • v.5 no.4
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    • pp.471-490
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    • 1997
  • In this paper, the classical Irons' patch tests which have been generally accepted for the convergence proof of a finite element are performed for Mindlin plate bending elements with a special emphasis on the nonconforming elements. The elements considered are 4-node and 8-node quadrilateral isoparametric elements which have been dominantly used for the analyses of plate bending problems. It was recognized from the patch tests that some nonconforming Mindlin plate elements pass all the cases of patch tests even though nonconforming elements do not preserve conformity. Then, the clues for the Mindlin plate element to pass the Irons' patch tests are investigated. Also, the convergent characteristics of some nonconforming Mindlin plate elements that do not pass the Irons' patch tests are examined by weak patch tests. The convergence tests are performed on the benchmark numerical problems for both nonconforming elements which pass the patch tests and which do not. Some conclusions on the relationship between the patch test and convergence of nonconforming Mindlin plate elements are drawn.

Strain-smoothed polygonal finite elements

  • Hoontae Jung;Chaemin Lee;Phill-Seung Lee
    • Structural Engineering and Mechanics
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    • v.86 no.3
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    • pp.311-324
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    • 2023
  • Herein, we present effective polygonal finite elements to which the strain-smoothed element (SSE) method is applied. Recently, the SSE method has been developed for conventional triangular and quadrilateral finite elements; furthermore, it has been shown to improve the performance of finite elements. Polygonal elements enable various applications through flexible mesh handling; however, further development is still required to use them more effectively in engineering practice. In this study, piecewise linear shape functions are adopted, the SSE method is applied through the triangulation of polygonal elements, and a smoothed strain field is constructed within the element. The strain-smoothed polygonal elements pass basic tests and show improved convergence behaviors in various numerical problems.

Vibration of elastic and viscoelastic multilayered spaces

  • Karasudhi, P.;Liu, Y.C.
    • Structural Engineering and Mechanics
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    • v.1 no.1
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    • pp.103-118
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    • 1993
  • The near field is discretized into finite elements, and the far field into infinite elements. Closed form far-field solutions to three fundamental problems are used as the shape functions of the infinite elements. Such infinite elements are capable of transmitting all surface and body waves. An efficient scheme to integrate numerically the stiffness and mass matrices of these elements in presented. Results agree closely with those obtained by others.

Two-dimensional nonconforming finite elements: A state-of-the-art

  • Choi, Chang-Koon;Kim, Sun-Hoon;Park, Young-Myung;Chung, Keun-Young
    • Structural Engineering and Mechanics
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    • v.6 no.1
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    • pp.41-61
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    • 1998
  • A state-of-the-art report on the new finite elements formulated by the addition of nonconforming displacement modes has been presented. The development of a series improved nonconforming finite elements for the analysis of plate and shell structures is described in the first part of this paper. These new plate and shell finite elements are established by the combined use of different improvement schemes such as; the addition of nonconforming modes, the reduced (or selective) integration, and the construction of the substitute shear strain fields. The improvement achieved may be attributable to the fact that the merits of these improvement techniques are merged into the formation of the new elements in a complementary manner. It is shown that the results obtained by the new elements give significantly improved solutions without any serious defects such as; the shear locking, spurious zero energy mode for the linear as well as nonlinear benchmark problems. Recent developments in the transition elements that have a variable number of mid-side nodes and can be effectively used in the adaptive mesh refinement are presented in the second part. Finally, the nonconforming transition flat shell elements with drilling degrees of freedom are also presented.

(4+n)-noded Moving Least Square(MLS)-based finite elements for mesh gradation

  • Lim, Jae Hyuk;Im, Seyoung
    • Structural Engineering and Mechanics
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    • v.25 no.1
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    • pp.91-106
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    • 2007
  • A new class of finite elements is described for dealing with mesh gradation. The approach employs the moving least square (MLS) scheme to devise a class of elements with an arbitrary number of nodal points on the parental domain. This approach generally leads to elements with rational shape functions, which significantly extends the function space of the conventional finite element method. With a special choice of the nodal points and the base functions, the method results in useful elements with polynomial shape functions for which the $C^1$ continuity breaks down across the boundaries between the subdomains comprising one element. Among those, (4 + n)-noded MLS based finite elements possess the generality to be connected with an arbitrary number of linear elements at a side of a given element. It enables us to connect one finite element with a few finite elements without complex remeshing. The effectiveness of the new elements is demonstrated via appropriate numerical examples.

ON SOME TYPE ELEMENTS OF ZERO-SYMMETRIC NEAR-RING OF POLYNOMIALS

  • Hashemi, Ebrahim;Shokuhifar, Fatemeh
    • Journal of the Korean Mathematical Society
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    • v.56 no.1
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    • pp.183-195
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    • 2019
  • Let R be a commutative ring with unity. In this paper, we characterize the unit elements, the regular elements, the ${\pi}$-regular elements and the clean elements of zero-symmetric near-ring of polynomials $R_0[x]$, when $nil(R)^2=0$. Moreover, it is shown that the set of ${\pi}$-regular elements of $R_0[x]$ forms a semigroup. These results are somewhat surprising since, in contrast to the polynomial ring case, the near-ring of polynomials has substitution for its "multiplication" operation.

Crystal Structures of the Vessel Elements and the Wood Fibers of Quercus variabilis BLUME (굴참나무재의 목섬유 및 도관 cellulose의 결정구조)

  • Kim, Nam-Hun;Lee, Woon-Yong
    • Journal of the Korean Wood Science and Technology
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    • v.21 no.1
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    • pp.15-20
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    • 1993
  • X-ray diffractograms of the vessel elements and the wood fibers of Quercus variabilis BLUME were recorded and resolved into characteristic reflections of cellulose I. Some differences were observed in the ratio of integrated intensity and crystallinity index between vessel elements and wood fibers. Present results suggest that cellulose crystal structure in the hardwood species was varied with the elements of wood.

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A Study the Elements of Technological Specific Expression in Research Institute Architecture -Focused on the Contemporary Research Institutes- (연구소 건축 계획의 테크놀로지 특성 표현 요소에 관한 연구 - 현대 연구소 건축을 중심으로 -)

  • Kim Hwan-Sik;Lee Jeong-Soo;Song Yong-Ho
    • Korean Institute of Interior Design Journal
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    • v.14 no.6 s.53
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    • pp.168-176
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    • 2005
  • This study is a understanding on technological specific expression to reflect of a research institute in modern architecture. For this study, it separately reduce space program, plan program, design elements of elevation, structural system, mechanical system, building material program to its expressional elements of research institute. Also, it's arranged about a specificity that is expressed for technology each plan elements of a research institute. As a result, elements what is expressive of technology on research institute are influenced an aesthetic expression, expression of an arrangement system, structural expression, expression of architectural organization, and it influences more getting feels technological specificity expressed an aesthetic, structural system, architectural composition, mechanical distribution system in order of their magnitude. This is offered suggestion what must be an achievable complex both a simply technological expression and aesthetic expression.

SIPPING TEST: CHECKING FOR FAILURE OF FUEL ELEMENTS AT THE OPAL REACTOR

  • Smith, Michael Leslie;Bignell, Lindsey Jorden;Alexiev, Dimitri;Mo, Li
    • Nuclear Engineering and Technology
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    • v.42 no.1
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    • pp.125-130
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    • 2010
  • Sipping measurements were implemented at the Open Pool Australian Light water reactor (OPAL) to test for failure in reactor fuel elements. Fission product released by the fuel element into the pool water was measured using both High Purity Germanium (HPGe) detection via samples and a NaI(Tl) detection in-situ with the sipping device. Results from two fuel elements are presented.

Process Study of Direct Laser Lithographic System for Fabricating Diffractive Optical Elements with Various Patterns (다중 패턴의 회절광학소자 제작을 위한 레이저 직접 노광시스템의 공정 연구)

  • Kim, Young-Gwang;Rhee, Hyug-Gyo;Ghim, Young-Sik;Lee, Yun-Woo
    • Journal of the Semiconductor & Display Technology
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    • v.18 no.2
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    • pp.58-62
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    • 2019
  • Diffractive Optical Elements(DOEs) diffracts incident light using the diffraction phenomenon of light to generate a desired diffraction image. In recent years, the use of diffraction optics, which can replace existing refractive optical elements with flat plates, has been increased by implementing various optical functions that could not be implemented in refractive optical devices and by becoming miniaturized and compacted optical elements. Direct laser lithography is typically used to effectively fabrication such a diffractive optical element in a large area with a low process cost. In this study, the process conditions for fabricating patterns of diffractive optical elements in various shapes were found using direct laser lithographic system, and optical performance evaluation was performed through fabrication.