• Title/Summary/Keyword: Half-Plane

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Development of Random Wave Deformation Model due to Breaking on Arbitrary Beach Profiles (복합단면에 있어서 불규칙파에 의한 쇄파변형 모델의 개발)

  • ;Yoshimi Goda
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.8 no.1
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    • pp.87-94
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    • 1996
  • Random wave breaking is one of the most important phenomena in coastal engineering. For two and half decades, various models have been proposed to predict wave height variations in the surf zone. However, some models are applicable to plane beaches only, some requires clumsy computation for a joint probability density of wave heights and periods, and some others need calibration with individual wave data. The present study aims at formulating a model simple enough but reasonably accurate. The merits of the present model are as follows: It is applicable to any shapes of bottom profiles; It requires the input data of incident wave heights and periods only without necessity of coefficient calibration with field data; and its computation time is minimal because it deals with representative waves directly.

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The preferred orientation and morphology characteristics of AlN thin films prepared by RF power under Room Temperature process (저온공정을 이용한 AlN 박막의 우선배향성과 모폴로지에 관한 연구)

  • Oh, Su-Young;Lee, Tae-Yong;Kim, Eung-Kwon;Kang, Hyun-Il;Song, Joon-Tae
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2007.11a
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    • pp.313-314
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    • 2007
  • AlN is used a wide variety of applications such as electroacoustic devices, blue diode and metal-insulator-semiconductor structures. AlN thin films were deposited on Si substrates by rf sputter technique with low temperature process. The orientation and morphology of AlN thin films at various power in the range from 150 to 300 w was studied. X-ray diffraction (XRD), full width at half-maximum (FWHM) and field emission scanning electron microscopy were employed to characterize the deposited films. The c-axis orientation along (002) Plane at experimental results was enhanced with the increasing of the rf power from 150 to 300 w and the surface morphology of the films showed a homogeneous and nano-sized microstructure.

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Lp-Boundedness for the Littlewood-Paley g-Function Connected with the Riemann-Liouville Operator

  • Rachdi, Lakhdar Tannech;Amri, Besma;Chettaoui, Chirine
    • Kyungpook Mathematical Journal
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    • v.56 no.1
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    • pp.185-220
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    • 2016
  • We study the Gauss and Poisson semigroups connected with the Riemann-Liouville operator defined on the half plane. Next, we establish a principle of maximum for the singular partial differential operator $${\Delta}_{\alpha}={\frac{{\partial}^2}{{\partial}r^2}+{\frac{2{\alpha}+1}{r}{\frac{\partial}{{\partial}r}}+{\frac{{\partial}^2}{{\partial}x^2}}+{\frac{{\partial}^2}{{\partial}t^2}}};\;(r,x,t){\in}]0,+{\infty}[{\times}{\mathbb{R}}{\times}]0,+{\infty}[$$. Later, we define the Littlewood-Paley g-function and using the principle of maximum, we prove that for every $p{\in}]1,+{\infty}[$, there exists a positive constant $C_p$ such that for every $f{\in}L^p(d{\nu}_{\alpha})$, $${\frac{1}{C_p}}{\parallel}f{\parallel}_{p,{\nu}_{\alpha}}{\leqslant}{\parallel}g(f){\parallel}_{p,{\nu}_{\alpha}}{\leqslant}C_p{\parallel}f{\parallel}_{p,{\nu}_{\alpha}}$$.

A Numerical Method for Dispersion of Unsteady Horizontal Line Source in Turbulent Shear Flow (난류전단 흐름에서의 비정상 수평 선오염원의 확산에 관한 수치해법)

  • 전경수
    • Water for future
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    • v.29 no.4
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    • pp.187-198
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    • 1996
  • A numerical model for unsteady dispersion of horizontal line source in turbulent shear flow is developed. A fractional step finite difference method is used which splits the unsteady two-dimensional advective diffusion equation into the longitudinal advection and the vertical diffusion equations, and solves them alternately for half time intervals by the Holly-Preissmann scheme and the Crank-Nicholson scheme, respectively. The developed numerical model is verified using a semi-analytic solution for steady dispersion in turbulent shear flow. Dispersion of an instantaneous plane source in turbulent shear flow is analyzed using the model. The degree of mixing at the same dimensionless time is almost the same regardless of the friction factor, and the travel distance required to reach a certain degree of mixing is inversely proportional to the square root of the friction factor.

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A Study on Fatigue Damage Modeling Using Neural Networks

  • Lee Dong-Woo;Hong Soon-Hyeok;Cho Seok-Swoo;Joo Won-Sik
    • Journal of Mechanical Science and Technology
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    • v.19 no.7
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    • pp.1393-1404
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    • 2005
  • Fatigue crack growth and life have been estimated based on established empirical equations. In this paper, an alternative method using artificial neural network (ANN) -based model developed to predict fatigue damages simultaneously. To learn and generalize the ANN, fatigue crack growth rate and life data were built up using in-plane bending fatigue test results. Single fracture mechanical parameter or nondestructive parameter can't predict fatigue damage accurately but multiple fracture mechanical parameters or nondestructive parameters can. Existing fatigue damage modeling used this merit but limited real-time damage monitoring. Therefore, this study shows fatigue damage model using backpropagation neural networks on the basis of X -ray half breadth ratio B / $B_o$, fractal dimension $D_f$ and fracture mechanical parameters can estimate fatigue crack growth rate da/ dN and cycle ratio N / $N_f$ at the same time within engineering limit error ($5\%$).

Study on the Characteristics of Corrosion Fatigue Crack for Gas Storage Tanks (가스저장탱크의 부식피로균열 특성에 관한 연구)

  • Lim, Uh-Joh;Shin, Jong-Dae
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.34 no.1
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    • pp.30-36
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    • 1998
  • Recently, with rapid increase of gas demand, there occurs much interest their security of safety in the gas storage tanks and pressure vessels etc. In order to solve the problems, the occurrence of corrosion fatigue crack and the propagation behavior must be investigated. Especially the occurrence of corrosion fatigue crack and the propagation behavior in the part which has concentrated stress or defects, must be studied more carefully. In this paper, the high-tensile steel of SPV 50 which is much used for building the LPG storage tanks was tested by the use of a plane bending corrosion fatigue tester under the various marine environments and in the air. These experiments were done to investigate the corrosion fatigue crack propagation behavior, the variation of aspect ratio for part through crack and electro-chemical characteristics of the metal. The main results obtained are as follows ; 1. Comparing the same surface crack length with the crack depth, the crack depth toward the thickness of specimen in air propagated faster than that in corrosion environment. 2. The aspect variation of the half elliptical crack can be estimated as following equation; b/a=i-jb/t where a : surface crack length, b : crack depth, t : specimen thickness, i,j : experimental constants but the slope j is decreased as specific resistance decreases. 3. As the specific resistance of corrosion environment decrease or the corrosion fatigue crack propagates, the corrosion potential become less noble.

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A Fast Volume Rendering Algorithm for Virtual Endoscopy

  • Ra Jong Beom;Kim Sang Hun;Kwon Sung Min
    • Journal of Biomedical Engineering Research
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    • v.26 no.1
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    • pp.23-30
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    • 2005
  • 3D virtual endoscopy has been used as an alternative non-invasive procedure for visualization of hollow organs. However, due to computational complexity, this is a time-consuming procedure. In this paper, we propose a fast volume rendering algorithm based on perspective ray casting for virtual endoscopy. As a pre-processing step, the algorithm divides a volume into hierarchical blocks and classifies them into opaque or transparent blocks. Then, in the first step, we perform ray casting only for sub-sampled pixels on the image plane, and determine their pixel values and depth information. In the next step, by reducing the sub-sampling factor by half, we repeat ray casting for newly added pixels, and their pixel values and depth information are determined. Here, the previously obtained depth information is utilized to reduce the processing time. This step is recursively performed until a full-size rendering image is acquired. Experiments conducted on a PC show that the proposed algorithm can reduce the rendering time by 70- 80% for bronchus and colon endoscopy, compared with the brute-force ray casting scheme. Using the proposed algorithm, interactive volume rendering becomes more realizable in a PC environment without any specific hardware.

Enhancement of thermoelectric properties of MBE grown un-doped ZnO by thermal annealing

  • Khalid, Mahmood;Asghar, Muhammad;Ali, Adnan;Ajaz-Un-Nabi, M.;Arshad, M. Imran;Amin, Nasir;Hasan, M.A.
    • Advances in Energy Research
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    • v.3 no.2
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    • pp.117-124
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    • 2015
  • In this paper, we have reported an enhancement in thermoelectric properties of un-doped zinc oxide (ZnO) grown by molecular beam epitaxy (MBE) on silicon (001) substrate by annealing treatment. The grown ZnO thin films were annealed in oxygen environment at $500^{\circ}C-800^{\circ}C$, keeping a step of $100^{\circ}C$ for one hour. Room temperature Seekbeck measurements showed that Seebeck coefficient and power factor increased from 222 to $510{\mu}V/K$ and $8.8{\times}10^{-6}$ to $2.6{\times}10^{-4}Wm^{-1}K^{-2}$ as annealing temperature increased from 500 to $800^{\circ}C$ respectively. This observation was related with the improvement of crystal structure of grown films with annealing temperature. X-ray diffraction (XRD) results demonstrated that full width half maximum (FWHM) of ZnO (002) plane decreased and crystalline size increased as the annealing temperature increased. Photoluminescence study revealed that the intensity of band edge emission increased and defect emission decreased as annealing temperature increased because the density of oxygen vacancy related donor defects decreased with annealing temperature. This argument was further justified by the Hall measurements which showed a decreasing trend of carrier concentration with annealing temperature.

The Limit of Magnetic Helicity Estimation by a Footpoint Tracking Method during a Flux Emergence

  • Choe, Gwang Son;Yi, Sibaek;Jang, Minhwan;Jun, Hongdal;Song, Inhyuk
    • The Bulletin of The Korean Astronomical Society
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    • v.43 no.2
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    • pp.58.2-58.2
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    • 2018
  • Theoretically, the magnetic helicity transport flux through the solar surface into the upper atmosphere can be estimated indefinitely precisely by magnetic field footpoint tracking if the observational resolution is infinitely fine, even with magnetic flux emergence or submergence. In reality, the temporal and spatial resolutions of observations are limited. When magnetic flux emerging or submerging, the footpoint velocity goes to infinity and the normal magnetic field vanishes at the polarity inversion line. A finite observational resolution thus generates a blackout area in helicity flux estimation near the polarity inversion line. It is questioned how much magnetic helicity is underestimated with a footpoint tracking method due to the absence of information in the blackout area. We adopt the analytical models of Gold-Hoyle and Lundquist force-free flux ropes and let them emerging from below the solar surface. The observation and the helicity integration can start at different emerging stages of the flux rope, i.e., the photospheric plane initially cuts the flux rope at different levels. We calculate the magnetic helicity of the flux rope below the photospheric level, which is eventually to emerge, except the helicity hidden in the region to be swept by the blackout area with different widths. Our calculation suggests that the error in the integrated helicity flux estimate is about half of the real value or even larger when small scale magnetic structures emerge into the solar atmosphere.

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Solving the contact problem of functionally graded layers resting on a HP and pressed with a uniformly distributed load by analytical and numerical methods

  • Yaylaci, Murat;Sabano, Bahar Sengul;Ozdemir, Mehmet Emin;Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • v.82 no.3
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    • pp.401-416
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    • 2022
  • The aim of this study is to examine the frictionless double receding contact problem for two functionally graded (FG) layers pressed with a uniformly distributed load and resting on a homogeneous half plane (HP) using analytical and numerical methods. The FG layers are made of a non-homogeneous material with an isotropic stress-strain law with exponentially varying properties. It is assumed that the contact at the FG layers and FG layer-HP interface is frictionless. The body force of the FG layers and homogeneous HP are ignored in the study. Firstly, an analytical solution for the contact problem has been realized using the theory of elasticity and the Fourier integral transform techniques. Then, the problem modeled and two-dimensional analysis was carried out by using the ANSYS package program based on FEM. Numerical results for contact lengths and contact pressures between FG layers and FG layer-HP were provided for various dimensionless quantities including material inhomogeneity, distributed load width, the shear module ratio, and the heights of the FG layers for both methods. The results obtained using FEM were compared with the results found using the analytical formulation. It was found that the results obtained from analytical formulation were in perfect agreement with the FEM study.