• Title/Summary/Keyword: Non cubic

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A first-principles theoretical investigation of the structural, electronic and magnetic properties of cubic thorium carbonitrides ThCxN(1-x)

  • Siddique, Muhammad;Rahman, Amin Ur;Iqbal, Azmat;Azam, Sikander
    • Nuclear Engineering and Technology
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    • v.51 no.5
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    • pp.1373-1380
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    • 2019
  • Besides promising implications as fertile nuclear materials, thorium carbonitrides are of great interest owing to their peculiar physical and chemical properties, such as high density, high melting point, good thermal conductivity. This paper reports first-principles simulation results on the structural, electronic and magnetic properties of cubic thorium carbonitrides $ThC_xN_{(1-x)}$ (X = 0.03125, 0.0625, 0.09375, 0.125, 0.15625) employing formalism of density-functional-theory. For the simulation of physical properties, we incorporated full-potential linearized augmented plane-wave (FPLAPW) method while the exchange-correlation potential terms in Kohn-Sham Equation (KSE) are treated within Generalized-Gradient-Approximation (GGA) in conjunction with Perdew-Bruke-Ernzerhof (PBE) correction. The structural parameters were calculated by fitting total energy into the Murnaghan's equation of state. The lattice constants, bulk moduli, total energy, electronic band structure and spin magnetic moments of the compounds show dependence on the C/N concentration ratio. The electronic and magnetic properties have revealed non-magnetic but metallic character of the compounds. The main contribution to density of states at the Fermi level stems from the comparable spectral intensity of Th (6d+5f) and (C+N) 2p states. In comparison with spin magnetic moments of ThSb and ThBi calculated earlier with LDA+U approach, we observed an enhancement in the spin magnetic moments after carbon-doping into ThN monopnictide.

THE NUMBER OF POINTS ON ELLIPTIC CURVES E0a3:y2=x3+a3 OVER Fp MOD 24

  • You, Soon-Ho;Park, Hwa-Sin;Kim, Hyun
    • Honam Mathematical Journal
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    • v.31 no.3
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    • pp.437-449
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    • 2009
  • In this paper, we calculate the number of points on elliptic curves $E^{a^3}_0:y^2=x^3+a^3$ over ${\mathbb{F}}_p$ mod 24 and $E^b_0:y^2=x^3+b$ over ${\mathbb{F}}_p$ mod 6, where b is cubic non-residue in ${\mathbb{F}}^*_p$. For example, if p ${\equiv}$ 1 (mod 12) is a prime, and a and a(2t - 3) are quadratic residues modulo p with $3t^2{\equiv}1$ (mod p), then the number of points in $E^{a^3}_0:y^2=x^3+a^3$ is congruent to 0 modulo 24.

FE Analysis of Three Dimensional Backward Extrusion Using the ALE description (ALE 묘사에 왜한 3차원 후방압출 해석)

  • 정상원;정용호;김규하;조규종
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.628-631
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    • 2002
  • This paper has executed FE-analysis to review the feasibility for developing the process, which produces the narrow-cubic type cans, using the Backward Impact Extrusion process instead of using current process, multi-stage deep drawing. Proposes an analysis method by applying ALE(Arbitrary Lagrangian-Eulerian) description to non-axisymmetric extrusion. which is appreciated as one of good solution to mesh distortion in case of the large deformation plasticity process that has mass flux, and considers the factors which affects forming-loads related to punch velocity and fulid status of material.

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Kinematic Modeling and Analysis of Silicon Wafer Grinding Process (실리콘 웨이퍼 연삭 가공의 기구학적 모델링과 해석)

  • 김상철;이상직;정해도
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.42-45
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    • 2002
  • General wheel mark in mono-crystalline silicon wafer finding is able to be expected because it depends on radius ratio and angular velocity ratio of wafer and wheel. The pattern is predominantly determined by the contour of abrasive grits resulting from a relative motion. Although such a wheel mark is made uniform pattern if the process parameters are fixed, sub-surface defect is expected to be distributed non-uniformly because of characteristic of mono-crystalline silicon wafer that has diamond cubic crystal. Consequently it is considered that this phenomenon affects the following process. This paper focused on kinematic analysis of wafer grinding process and simulation program was developed to verify the effect of process variables on wheel mark. And finally, we were able to predict sub-surface defect distribution that considered characteristic of mono-crystalline silicon wafer

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Spatial Free Vibration and Stability Analysis of Thin-Walled Arches with Variable Curvature (곡률이 변하는 박벽 아치의 3차원 자유진동 및 좌굴해석)

  • 서광진;민병철;김문영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.04a
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    • pp.169-176
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    • 1999
  • An improved formulation for spatial stability md free vibration of thin-walled curved beams with variable curvature and non-symmetric cross sections are presented based on the displacement field considering the second order terms of finite semitangential rotations. By introducing Vlasov's assumptions, the total potential energy is derived from the principle of linearized virtual work for a continuum. In this formulation, all displacement parameters and the warping function are defined at the centroid axis so that the coupled terms of bending and torsion are added to the elastic strain energy. Also, the potential energy due to initial stress resultants is consistently derived corresponding to the semitangential rotation and moment. The cubic Hermitian polynomials are utilized as shape functions for development of the curved thin-walled beam element having eight degrees of freedom. In order to illustrate the accuracy and practical usefulness of this study, . numerical solutions for free vibration of arches are presented and compared with resells of other researchers and solutions analyzed by the ABAQUS's shell element.

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A Method for Distinguishing the Two Candidate Elliptic Curves in the Complex Multiplication Method

  • Nogami, Yasuyuki;Obara, Mayumi;Morikawa, Yoshitaka
    • ETRI Journal
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    • v.28 no.6
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    • pp.745-760
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    • 2006
  • In this paper, we particularly deal with no $F_p$-rational two-torsion elliptic curves, where $F_p$ is the prime field of the characteristic p. First we introduce a shift product-based polynomial transform. Then, we show that the parities of (#E - 1)/2 and (#E' - 1)/2 are reciprocal to each other, where #E and #E' are the orders of the two candidate curves obtained at the last step of complex multiplication (CM)-based algorithm. Based on this property, we propose a method to check the parity by using the shift product-based polynomial transform. For a 160 bits prime number as the characteristic, the proposed method carries out the parity check 25 or more times faster than the conventional checking method when 4 divides the characteristic minus 1. Finally, this paper shows that the proposed method can make CM-based algorithm that looks up a table of precomputed class polynomials more than 10 percent faster.

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Development of a Holographic Interferometric Tomography System and Its Application to Three-Dimensional Natural Convection (홀로그래피 간섭 토모그래피 개발 및 3차원 자연대류 열전달에의 적용)

  • Lee, Soo-Man;Kang, Min-Gu;Cha, Dong-Jin;Joo, Won-Jong;Kang, Bo-Seon
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.1609-1614
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    • 2003
  • In this study, a practical holographic interferometric tomography system, which is instantaneous and non-contact for measuring three dimensional flow field, was developed. The system consists of holographic recording/reconstruction system, fringe analysis code and computational tomography code and it is developed with Gill environment for general users. The developed system was applied to three-dimensional natural convection from a discrete flush-mounted circular heat source on the bottom of a cubic enclosure. The heat source was located at the off-center of the bottom plate so that three-dimensional temperature field can be achieved. A set of multi-directional holographic interferograms was recorded by employing a double-reference beam, double-exposure holographic technique. Optical pathlength data were extracted from the recorded interferometric data and finally three dimensional temperature field inside the cube was reconstructed.

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Vibration analysis of a shear deformed anti-symmetric angle-ply conical shells with varying sinusoidal thickness

  • Javed, Saira;Viswanathan, K.K.;Aziz, Z.A.;Lee, J.H.
    • Structural Engineering and Mechanics
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    • v.58 no.6
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    • pp.1001-1020
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    • 2016
  • The study is to investigate the free vibration of antisymmetric angle-ply conical shells having non-uniform sinusoidal thickness variation. The arbitrarily varying thickness is considered in the axial direction of the shell. The vibrational behavior of shear deformable conical shells is analyzed for three different support conditions. The coupled differential equations in terms displacement and rotational functions are obtained. These displacement and rotational functions are invariantly approximated using cubic spline. A generalized eigenvalue problem is obtained and solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. The vibration characteristic of the shells is examined for cone angle, aspect ratio, sinusoidal thickness variation, layer number, stacking sequence, and boundary conditions.

A Study on the Architectural Manifesto and Design Works Characteristics of Walter Gropius (월터 그로피우스의 건축선언과 작품특성에 관한 연구)

  • 이용재
    • Korean Institute of Interior Design Journal
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    • no.41
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    • pp.29-35
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    • 2003
  • The purpose of this study is to analyze the architectural manifesto and design works characteristics of Walter Gropius. He was the director of Weimar Bauhaus that one of the advanced artificial movements in the early modern period. The almost of the early modern movements was related to the radical ideology and the manifesto. Especially Bauhaus originated from manifesto of artists teaching group with architect Walter Gropius. Therefore, the category of the study pitch upon Bauhaus architectural manifesto - Bauhaus Manifesto and Programme(1919) - and the representative works of Walter Gropius - Fagus Factory(1911-14), Dessau Bauhaus Building(1925-26), Siedlung Berlin-Siemensstadt(1929-30) and Harvard Graduate Center(1949). The conclusions of the study as per the above mentioned pill pose are the dynamic integration by non-symmetry in cubic form (formal characteristics) and organic continuity by reciprocality in transparent space (spatial characteristics).

A Numerical Study of Smoke Movement by Fire In Atrium Space (화재 발생시 연기 거동에 대한 수치해석적 연구 - 아트리움 공간을 중심으로 -)

  • 노재성;유홍선;정연태
    • Journal of the Korean Society of Safety
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    • v.13 no.1
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    • pp.70-76
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    • 1998
  • The smoke filling process for the atrium space containing a fire source is simulated using two types of deterministic fire models : Zone model and Field model. The zone model used is the CFAST(version 1.6) model developed at the Building and Fire Research Laboratories, NIST in the USA. The field model is a self-developed fire field model based on Computational Fluid Dynamics(CFD) theories. This article is focused on finding out the smoke movement and temperature distribution in atrium space which is cubic in shape. A computational procedure for predicting velocity and temperature distribution in fire-induced flow is based on the solution, in finite volume method and non-staggered grid system, of 3-dimensional equations for the conservation of mass, momentum, energy, species and so forth. The fire model i. e. Zone model and Field model predicted similar results for the clear height and the smoke layer temperature.

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