• 제목/요약/키워드: moduli space

검색결과 76건 처리시간 0.022초

국내화강석재의 피로변형거동에 관한 연구 (A Study on the fatigue deformation behavior of granitic stone in Korea)

  • 김재동;정윤영;장보안
    • 터널과지하공간
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    • 제6권2호
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    • pp.144-156
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    • 1996
  • The deformation behaviors under uniaxial compressive cyclic loading were investigated for fresh rocks and freeze-thaw cycled samples. The Pocheon granite which is one of the most popular building stone in Korea was selected for tests. 0.5 Hz and 50% of dynamic strength were used as test conditions for frequency and fatigue span, respectively. For freezethaw procedure, sample were frozen for 3 hours under the temperature of -2$0^{\circ}C$ and then followed 3 hours thawing under the temperature of +2$0^{\circ}C$. Twenty seven samples were used as untreated and seventy three for freeze-thaw samples. No failure occurred up to 15000 cycles at the stress level of 60% of dynamic strength, indicating that the lowest strees level for fatigue failure may be around 60% of dynamic strength. Permanent strain and damping capacity curves show that there were three stages when rock behaves like under creep. Young's moduli were increased and Possion's ratios were decreased with the increase of the number of cycles. Possion's ratios varied more rapidly than Young's moduli did with the increase of the number of cycles. This may represent that most microcracks developed by fatigue stress are parallel to the axis of loading. The deformation behavior of freeze-thaw cycled samples were almost the same as that of untreated samples. However, the result of freeze-thaw cycled samples showed lower regression constant, indicating that the physical durability of rock is much lowered because of cyclic temperature variation.

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CRITICAL VIRTUAL MANIFOLDS AND PERVERSE SHEAVES

  • Kiem, Young-Hoon;Li, Jun
    • 대한수학회지
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    • 제55권3호
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    • pp.623-669
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    • 2018
  • In Donaldson-Thomas theory, moduli spaces are locally the critical locus of a holomorphic function defined on a complex manifold. In this paper, we develop a theory of critical virtual manifolds which are the gluing of critical loci of holomorphic functions. We show that a critical virtual manifold X admits a natural semi-perfect obstruction theory and a virtual fundamental class $[X]^{vir}$ whose degree $DT(X)=deg[X]^{vir}$ is the Euler characteristic ${\chi}_{\nu}$(X) weighted by the Behrend function ${\nu}$. We prove that when the critical virtual manifold is orientable, the local perverse sheaves of vanishing cycles glue to a perverse sheaf P whose hypercohomology has Euler characteristic equal to the Donaldson-Thomas type invariant DT(X). In the companion paper, we proved that a moduli space X of simple sheaves on a Calabi-Yau 3-fold Y is a critical virtual manifold whose perverse sheaf categorifies the Donaldson-Thomas invariant of Y and also gives us a mathematical theory of Gopakumar-Vafa invariants.

균열모형을 이용한 암석거동의 수치해석 (Numerical analysis of rock behavior with crack model implementation)

  • 전석원
    • 터널과지하공간
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    • 제9권1호
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    • pp.56-63
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    • 1999
  • 암석은 불연속면들에 의해 다양한 방식의 거동을 보인다. 이러한 암석의 복잡한 파괴와 변형거동을 해석하기 위한이전의 많은 연구들은 균열모델의 개발에 중점을 두었다. 본 연구에서는 석탄과 같은 파쇄 암석에 대해 활주균열모형과 전단균열모형의 타당성을 검토하였고 모델을 수치해석에 적용하였다. 수치해석을 수행하기 위해 여러 방식으로 유한 요소 프로그램을 수정하였다. 2차원 해석에서 횡등방성을 설명하기 위하여 대칭축의 방향에 대해 응력-변형률 관계를 수정하였고, 균열성장에 따른 유효탄성계수의 변화를 계산하였다. 2차원 실내 단축압축시험의 가단한 예를 해석하였으며 해석결과는 실내시험에서 구한 결과와 일치하였다.

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인공위성 카메라 주반사경 지지부에 적용되는 접착제의 전단 특성 연구 (A Study on the Shear Characteristics of Adhesives in Primary Mirror Supports of Satellite Camera)

  • 김현중;서유덕;박상훈;윤성기;이승훈;이덕규;이응식
    • 대한기계학회논문집A
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    • 제31권7호
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    • pp.808-815
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    • 2007
  • The optical performance of the mirror fur satellite camera is highly dependent on the adhesive properties between the mirror and its support. Therefore, in order to design a mirror with high optical performance, the mechanical properties of adhesives should be well defined. In this research, the mechanical properties of three kinds of space adhesives are studied. In case of the materials which show nearly incompressible behavior such as space adhesives, it is important to measure shear modulus which governs deviatoric stress components. Also the experiment should be performed in circumstances similar to real manufacturing process of mirror, because extra factors such as size effects, the adhesion effects of primer and reactions between adhesive and primer affect the properties of adhesive regions. In this research shear moduli of the adhesives are determined by using a single lap adhesively bonded joint. For the shear tests, several temperatures have been selected from $-20^{\circ}C$ to $55^{\circ}C$ which is operating temperature range of the adhesive. In the case of linear behavior materials, shear moduli are calculated through a linear curve fitting. Shear stress-strain relation is obtained by using an exponential curve fitting for material which shows non-linear behavior. The shear modulus of each adhesive is expressed as a function of temperature. Characteristics and adaptability of the adhesives are discussed regarding their temperature sensitivity.

RED GIANT BRANCH OF THE METAL POOR GLOBULAR CLUSTERS: I. BUMP, TIP, AND DISTANCE FROM NEAR INERARED PHOTOMETRY

  • Sohn Y.J.;Kim J.W.;Kang A.
    • Journal of Astronomy and Space Sciences
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    • 제23권2호
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    • pp.91-96
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    • 2006
  • We use near-infrared observations of eight selected Galactic globular clusters to estimate their distances by comparing the observed and theoretically predicted K magnitudes of the red giant branch bumps and tips. The K magnitude levels of the RGB bump and tip have been measured from the luminosity function of the selected RGB stars in the clusters. Theoretical absolute $M_k$ magnitudes of the RGB bump and tip are taken from the Yonsei-Yale isochrones. Comparing the observed apparent K magnitude with the derived absolute $M_k$ magnitude, we calculate the distance moduli of the clusters. We discuss the dependency of the derived distance modulus on the cluster age and the uncertainty of the distance measurement from the near-infrared photometry of the RGB bump and tip.

반복하중하에서 다보결합부의 역학적 특성 (Mechanical Characteristics of Dowel Joints under Cyclic Loads)

  • 장상식
    • Journal of the Korean Wood Science and Technology
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    • 제23권4호
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    • pp.91-97
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    • 1995
  • Cyclic tests were performed with dowel joints which are being widely used for furniture manufacturing in Korea. In this study, effects of various factors-such as species of joint members, diameter and length of dowels, and space between dowels-on stiffness, strength and damping ratio of joints were evaluated and concluded as follows: 1. Under cyclic loads, failure of dowel joints were caused by bending failure of dowels. 2. Dowel joints were evaluated to be stiff but general load carrying capacities were relatively low. 3. Joint moduli and damping ratios of dowel joints decreased as diameter and length of dowels, and space between dowels increased. 4. In dowel joints, properties of dowel itself have greater effects on stiffness and strength of joints than properties of joint members.

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비등방성 멤브레인의 주름 거동 해석 (Analysis of Wrinkling Behavior for Anisotropic Membrane)

  • 우경식;남덕현
    • 한국항공우주학회지
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    • 제33권9호
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    • pp.48-55
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    • 2005
  • 본 논문에서는 비등방성 멤브레인의 주름 거동을 조사하였다. 해석시 멤브레인에 발생하는 주름은 벌칙매개변수법을 사용하여 물성치를 수정하는 방법으로 하였으며, ABAQUS 내 사용자 서브루틴으로 구현하였다. 모서리에 인장하중이 걸린 사각형 멤브레인 문제에 적용하여 주름 거동을 해석한 결과, 핀의 지름이 미치는 영향은 매우 작으며, 잘라낸 모서리의 길이와 전단계수의 크기에 상당한 영향을 받고 있음을 알 수 있었다.

Model-independent Constraints on Type Ia Supernova Light-curve Hyperparameters and Reconstructions of the Expansion History of the Universe

  • Koo, Hanwool;Shafieloo, Arman;Keeley, Ryan E.;L'Huillier, Benjamin
    • 천문학회보
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    • 제45권1호
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    • pp.48.4-49
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    • 2020
  • We reconstruct the expansion history of the universe using type Ia supernovae (SN Ia) in a manner independent of any cosmological model assumptions. To do so, we implement a nonparametric iterative smoothing method on the Joint Light-curve Analysis (JLA) data while exploring the SN Ia light-curve hyperparameter space by Markov Chain Monte Carlo (MCMC) sampling. We test to see how the posteriors of these hyperparameters depend on cosmology, whether using different dark energy models or reconstructions shift these posteriors. Our constraints on the SN Ia light-curve hyperparameters from our model-independent analysis are very consistent with the constraints from using different parameterizations of the equation of state of dark energy, namely the flat ΛCDM cosmology, the Chevallier-Polarski-Linder model, and the Phenomenologically Emergent Dark Energy (PEDE) model. This implies that the distance moduli constructed from the JLA data are mostly independent of the cosmological models. We also studied that the possibility the light-curve parameters evolve with redshift and our results show consistency with no evolution. The reconstructed expansion history of the universe and dark energy properties also seem to be in good agreement with the expectations of the standard ΛCDM model. However, our results also indicate that the data still allow for considerable flexibility in the expansion history of the universe. This work is published in ApJ.

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다층구조계내 터널 거동의 역해석 (A Back-Analysis of Tunnels in Multi-Layered Underground Structures)

  • 전병승;이상도;나경웅;김문겸
    • 터널과지하공간
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    • 제4권1호
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    • pp.17-23
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    • 1994
  • This study consists of two procedures on back analysis and forward analysis which is a basic tool of the former. For a safe and economical construction of underground structures, it is required to identify the structural parameters and analyze the structural behavior as exactly as possible. In this paper, a boundary element method to analyze the behavior of multi-alyered underground structures is studied, in which body forces and initial stresses are considered. That is, each layer is discritized into subregions using infinite fundamental solutions, and terms of body forces and initial stresses are transformed into boundary integral where the applied direct integral method is used. And the system of equations containing body forces and initial stresses are considered. That is, each layer is discritized into subregions using infinite fundamental solutions, and terms of body forces and initial stresses are transformed into boundary integral where the applied direct integral method is used. And the system of equations containing body forces and initial stresses are composed, then the method to solve unknowns is used with applying compatibility and equilibrium conditions between interfaces. As well, the direct search method is applied in back analysis problems. By Powell's method as a technique to search unknown parameters, assuming displacements calculated from boundary element analysis as in-situ displacements, elastic moduli and initial stresses are presumed. As consequences of this study, the results of boundary element analysis of the behavior of multilayered structure considering body forces and initial stresses are agreed with those of finite element analysis. And results of back analysis of elastic moduli and initial stresses in each layers are agreed with exact values with a little difference. Therefore, it is known that this study can be efficiently applied for analyzing the behavior of underground structures including back analysis problems.

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SEJONG OPEN CLUSTER SURVEY. I. NGC 2353

  • Lim, Beom-Du;Sung, Hwan-Kyung;Karimov, R.;Ibrahimov, M.
    • 천문학회지
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    • 제44권2호
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    • pp.39-48
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    • 2011
  • UBV I CCD photometry of NGC 2353 is performed as a part of the "Sejong Open cluster Survey" (SOS). Using photometric membership criteria we select probable members of the cluster. We derive the reddening and distance to the cluster, i.e., E(B - V ) = 0.10 ${\pm}$ 0.02 mag and 1.17 ${\pm}$ 0.04 kpc, respectively. We find that the projected distribution of the probable members on the sky is elliptical in shape rather than circular. The age of the cluster is estimated to be log(age)=8.1 ${\pm}$ 0.1 in years, older than what was found in previous studies. The minimum value of binary fraction is estimated to be about 48 ${\pm}$ 5 percent from a Gaussian function fit to the distribution of the distance moduli of the photometric members. Finally, we also obtain the luminosity function and the initial mass function (IMF) of the probable cluster members. The slope of the IMF is ${\Gamma}=-1.3{\pm}0.2$.