• Title/Summary/Keyword: weak form

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A Posteriori Error Estimation Based On The Variation Of Mapping Function For Finite Element Method (사상 함수의 변분을 이용한 유한요소 해석의 오차 분석)

  • 박시형;김지환
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.86-93
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    • 2002
  • A new error estimation method is proposed. This utilizes the variation of energy functional about the mapping function between the global and the master elements. The resultant system of equations is the weak form of the generalized conservation checks. However, This formulation has an important information about the relations between the connected elements. In other words, some relations between the connected elements are obtained and these can be used very usefully to measure it posteriori error. In this paper, the explicit formulations are presented for the 1-dimensional model and the 2-dimensional model problems. Numerical results are provided for first order shear deformation theody of beam model and the plane stress problem.

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The In-situ Dressing of CMP Pad Conditioners with Novel Coating Protection

  • Sung, James-C.;Kan, Ming-Chi
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 2006.09b
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    • pp.1142-1143
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    • 2006
  • Kinik Company pioneered diamond pad conditioners protected by DLC barrier ($DiaShield^{(R)}$ Coating) back in 1999 (Sung & Lin, US Patent 6,368,198). Kink also evaluated Cermet Composite Coating (CCC or $C^3$, patent pending) with a composition that grades from a metallic (e.g. stainless steel) interlayer to a ceramic (e.g. $Al_2O_3$ or SiC) exterior. The metallic interlayer can form metallurgical bond with metallic matrix on the diamond pad conditioner. The ceramic exterior is both wear and corrosion resistant. The gradational design of $C^3$ coating will assure its strong adherence to the substrate because there is no weak boundary between coating and substrate.

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Fabrication of Metallic Tantalum Powder by Magnesium-gas Reduction of Tantalum Oxide (탄탈륨 산화물의 마그네슘 가스환원에 의한 탄탈륨 금속분말 제조)

  • Lee, Dong-Won
    • Journal of Powder Materials
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    • v.25 no.5
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    • pp.390-394
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    • 2018
  • Metallic tantalum powder is manufactured by reducing tantalum oxide ($Ta_2O_5$) with magnesium gas at 1,073-1,223 K in a reactor under argon gas. The high thermodynamic stability of magnesium oxide makes the reduction reaction from tantalum oxide into tantalum powder possible. The microstructure after the reduction reaction has the form of a mixture of tantalum and magnesium oxide, and the latter could be entirely eliminated by dissolving in weak hydrochloric acid. The powder size in SEM microstructure for the tantalum powder increases after acid leaching in the range of 50-300 nm, and its internal crystallite sizes are observed to be 11.5 to 24.7 nm with increasing reduction temperatures. Moreover, the optimized reduction temperature is found to be 1,173 K as the minimum oxygen concentration is approximately 1.3 wt.%.

Prediction of Gain Expansion and Intermodulation Performance of Nonlinear Amplifiers

  • Abuelma'atti, Muhammad Taher
    • ETRI Journal
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    • v.29 no.1
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    • pp.89-94
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    • 2007
  • A mathematical model for the input-output characteristic of an amplifier exhibiting gain expansion and weak and strong nonlinearities is presented. The model, basically a Fourier-series function, can yield closed-form series expressions for the amplitudes of the output components resulting from multisinusoidal input signals to the amplifier. The special case of an equal-amplitude two-tone input signal is considered in detail. The results show that unless the input signal can drive the amplifier into its nonlinear region, no gain expansion or minimum intermodulation performance can be achieved. For sufficiently large input amplitudes that can drive the amplifier into its nonlinear region, gain expansion and minimum intermodulation performance can be achieved. The input amplitudes at which these phenomena are observed are strongly dependent on the amplifier characteristics.

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Template Synthesis, Crystal Structure, and Magnetic Properties of a Dinuclear Copper(II) Complex with Cooperative Hydrogen Bonding

  • Kang, Shin-Geol;Nam, Kwang-Hee;Min, Kil-Sik;Lee, Uk
    • Bulletin of the Korean Chemical Society
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    • v.32 no.3
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    • pp.1037-1040
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    • 2011
  • The dinuclear complex 1 with cooperative hydrogen bonds can be prepared by the metal-directed reaction of Eq. (2). This work shows that the coordinated hydroxyl group trans to the secondary amino group is deprotonated more readily than that trans to the tertiary amino group and acts as the hydrogen-bond accepter. The lattice water molecules in 1 act as bridges between the two mononuclear units through hydrogen bonds. The complex is quite stable as the dimeric form even in various polar solvents. The complex exhibits a weak antiferromagnetic interaction between the metal ions in spite of relatively long Cu$\cdots$Cu distance. This strongly supports the suggestion that the antiferromagnetic behavior is closely related to the cooperative hydrogen bonds.

A Study of the Hull Form of Oil Recovery Vessel by Using Magnetic Fluid (자성유체를 이용한 유회수선박의 선형연구)

  • 이귀주;박영식;김경화;노준혁;장희문
    • Journal of Ocean Engineering and Technology
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    • v.15 no.2
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    • pp.1-5
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    • 2001
  • A study on the new active type oil-water separation system including the oil-water separation system of magnetic film was carried out. Separation system is composed of several active types of circulating oil separation steps and one magnetic film separation step at final stage. At the magnetic separation step, ferrofluid easily forms a weak magnetic mixture with oil, which is from the water by magnetic field gradient. The vessel has been designed to run at the maximum speed of 25 knots. And two typical forms of SWATH and Catamaran have been studied as a new type of oil recovery vessel.

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An Implementation of the Adaptive Ray Tracing Method in the Athena Code

  • Kim, Jeong-Gyu;Kim, Woong-Tae;Ostriker, Eve C.
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.1
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    • pp.50.1-50.1
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    • 2016
  • The incorporation of radiation from massive stars is essential for modeling the dynamics and chemistry of star-forming clouds, yet it is a computationally demanding task for three-dimensional problems. We describe the implementation and tests of radiative transfer module due to point sources on a three-dimensional Cartesian grid in the Eulerian MHD code Athena. To solve the integral form of the radiation transfer equation, we adopt a widely-used long characteristics method with spatially adaptive ray tracing in which rays are split when sampling of cells becomes coarse. We use a completely asynchronous communication pattern between processors to accelerate transport of rays through a computational domain, a major source of performance bottleneck. The results of strong and weak scaling tests show that our code performs well with a large number of processors. We apply our radiation hydrodynamics code to some test problems involving dynamical expansion of HII regions.

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Highly Selective Fluorescent Signaling for Al3+ in Bispyrenyl Polyether

  • Kim, Hyun-Jung;Kim, Su-Ho;Quang, Duong Tuan;Kim, Ja-Hyung;Suh, Il-Hwan;Kim, Jong-Seung
    • Bulletin of the Korean Chemical Society
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    • v.28 no.5
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    • pp.811-815
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    • 2007
  • A series of bispyrenyl-polyether have been synthesized and investigated as a fluorescent chemosensor for metal ions. The results showed that bispyrenyl-polyether system is selective towards Al3+ ion over other ions tested. In free ligand, excited at 343 nm, it displays a strong excimer emission at around 475 nm with a weak monomer emission at 375 nm. A ratiometry of monomer (375 nm) increase and excimer (475 nm) quenching was shown only when Al3+ ion is bound to ligand, because two facing pyrene groups form a less efficient overlap of π?π stacking compared with that of free ligand.

Algorithm for solving fluid-structure interaction problem on a global moving mesh

  • Sy, Soyibou;Murea, Cornel Marius
    • Coupled systems mechanics
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    • v.1 no.1
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    • pp.99-113
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    • 2012
  • We present a monolithic semi-implicit algorithm for solving fluid-structure interaction problem at small structural displacements. The algorithm uses one global mesh for the fluid-structure domain obtained by gluing the fluid and structure meshes which are matching on the interface. The continuity of velocity at the interface is automatically satisfied and the continuity of stress does not appear explicitly in the global weak form due to the action and reaction principle. At each time step, we have to solve a monolithic system of unknowns velocity and pressure defined on the global fluid-structure domain. Numerical results are presented.

Static analysis of FGM cylinders by a mesh-free method

  • Foroutan, M.;Moradi-Dastjerdi, R.;Sotoodeh-Bahreini, R.
    • Steel and Composite Structures
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    • v.12 no.1
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    • pp.1-11
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    • 2012
  • In this paper static analysis of FGM cylinders subjected to internal and external pressure was carried out by a mesh-free method. In this analysis MLS shape functions are used for approximation of displacement field in the weak form of equilibrium equation and essential boundary conditions are imposed by transformation method. Mechanical properties of cylinders were assumed to be variable in the radial direction. Two types of cylinders were analyzed in this work. At first cylinders with infinite length were considered and results obtained for these cylinders were compared with analytical solutions and a very good agreement was seen between them. Then the proposed mesh-free method was used for analysis of cylinders with finite length and two different types of boundary conditions. Results obtained from these analyses were compared with results of finite element analyses and a very good agreement was seen between them.