• Title/Summary/Keyword: $G^2$ continuity

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Assumed strain quadrilateral C0 laminated plate element based on third-order shear deformation theory

  • Shi, G.;Lam, K.Y.;Tay, T.E.;Reddy, J.N.
    • Structural Engineering and Mechanics
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    • 제8권6호
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    • pp.623-637
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    • 1999
  • This paper presents a four-noded quadrilateral $C^0$ strain plate element for the analysis of thick laminated composite plates. The element formulation is based on: 1) the third-order shear deformation theory; 2) assumed strain element formulation; and 3) interrelated edge displacements and rotations along element boundaries. Unlike the existing displacement-type composite plate elements based on the third-order theory, which rely on the $C^1$-continuity formulation, the present plate element is of $C^0$-continuity, and its element stiffness matrix is evaluated explicitly. Because of the third-order expansion of the in-plane displacements through the thickness, the resulting theory and hence elements do not need shear correction factors. The explicit element stiffness matrix makes the present element more computationally efficient than the composite plate elements using numerical integration for the analysis of thick layered composite plates.

COMMON FIXED POINTS UNDER LIPSCHITZ TYPE CONDITION

  • Pant, Vyomesh
    • Bulletin of the Korean Mathematical Society
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    • 제45권3호
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    • pp.467-475
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    • 2008
  • The aim of the present paper is three fold. Firstly, we obtain common fixed point theorems for a pair of selfmaps satisfying nonexpansive or Lipschitz type condition by using the notion of pointwise R-weak commutativity but without assuming the completeness of the space or continuity of the mappings involved (Theorem 1, Theorem 2 and Theorem 3). Secondly, we generalize the results obtained in first three theorems for four mappings by replacing the condition of noncompatibility of maps with the property (E.A) and using the R-weak commutativity of type $(A_g)$ (Theorem 4). Thirdly, in Theorem 5, we show that if the aspect of noncompatibility is taken in place of the property (E.A), the maps become discontinuous at their common fixed point. We, thus, provide one more answer to the problem posed by Rhoades [11] regarding the existence of contractive definition which is strong enough to generate fixed point but does not forces the maps to become continuous.

ON CONSISTENCY OF SOME NONPARAMETRIC BAYES ESTIMATORS WITH RESPECT TO A BETA PROCESS BASED ON INCOMPLETE DATA

  • Hong, Jee-Chang;Jung, In-Ha
    • The Pure and Applied Mathematics
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    • 제5권2호
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    • pp.123-132
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    • 1998
  • Let F and G denote the distribution functions of the failure times and the censoring variables in a random censorship model. Susarla and Van Ryzin(1978) verified consistency of $F_{\alpha}$, he NPBE of F with respect to the Dirichlet process prior D($\alpha$), in which they assumed F and G are continuous. Assuming that A, the cumulative hazard function, is distributed according to a beta process with parameters c, $\alpha$, Hjort(1990) obtained the Bayes estimator $A_{c,\alpha}$ of A under a squared error loss function. By the theory of product-integral developed by Gill and Johansen(1990), the Bayes estimator $F_{c,\alpha}$ is recovered from $A_{c,\alpha}$. Continuity assumption on F and G is removed in our proof of the consistency of $A_{c,\alpha}$ and $F_{c,\alpha}$. Our result extends Susarla and Van Ryzin(1978) since a particular transform of a beta process is a Dirichlet process and the class of beta processes forms a much larger class than the class of Dirichlet processes.

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Study of the semi-segregation algorithms of the incompressible Navier-Stokes equations using P2P1 finite element formulation (P2P1 유한요소 공식을 이용한 비압축성 Navier-Stokes 방정식의 반-분리 해법에 관한 연구)

  • Cho, Myung-H.;Choi, Hyoung-G.;Yoo, Jung-Y.;Park, Jae-I.
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2006년 제4회 한국유체공학학술대회 논문집
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    • pp.349-352
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    • 2006
  • The conventional segregated finite element formulation produces a small and simple matrix at each step than in an integrated formulation. And the memory and cost requirements of computations are significantly reduced because the pressure equation for the mass conservation of the Navier-Stokes equations is constructed only once if the mesh is fixed. However, segregated finite element formulation solves Poisson equation of elliptic type so that it always needs a pressure boundary condition along a boundary even when physical information on pressure is not provided. On the other hand, the conventional integrated finite element formulation in which the governing equations are simultaneously treated has an advantage over a segregated formulation in the sense that it can give a more robust convergence behavior because all variables are implicitly combined. Further it needs a very small number of iterations to achieve convergence. However, the saddle-paint-type matrix (SPTM) in the integrated formulation is assembled and preconditioned every time step, so that it needs a large memory and computing time. Therefore, we newly proposed the P2PI semi-segregation formulation. In order to utilize the fact that the pressure equation is assembled and preconditioned only once in the segregated finite element formulation, a fixed symmetric SPTM has been obtained for the continuity constraint of the present semi-segregation finite element formulation. The momentum equation in the semi-segregation finite element formulation will be separated from the continuity equation so that the saddle-point-type matrix is assembled and preconditioned only once during the whole computation as long as the mesh does not change. For a comparison of the CPU time, accuracy and condition number between the two methods, they have been applied to the well-known benchmark problem. It is shown that the newly proposed semi-segregation finite element formulation performs better than the conventional integrated finite element formulation in terms of the computation time.

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ULTRASTRUCTURAL STUDY ON THE EFFECTS OF INDOMETHACIN ON 4-NITROQUINOLINE 1-OXIDE (4NQO) INDUCED PALATAL CARCINOMA OF ALBINO RAT. (Indomethacin이 백서의 4-nitroquinoline 1-oxide (4NQO) 유도 구개암 발암과정에서 미세구조에 미치는 영향에 관한 연구)

  • Kim, Hai-Keun
    • Maxillofacial Plastic and Reconstructive Surgery
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    • 제11권1호
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    • pp.171-186
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    • 1989
  • This study was undertaken to investigate the effects of indomethacin on 4-nitroquinoline 1-oxide (4NQO) induced palatal carcinoma of albino rats. Sixty albino rats about 100 gms of body weight, 6 weeks old-were used classifying as 1) six albino rats of normal group received no treatment, 2) six albino rats of control group treated with propane 1, 2-diol 3 times a week, 3) twenty four albino rats of experimental group I treated with 0.5% 4NQO in propane 1, 2-diol 3 times a week, 4) twenty four albino rats of experimental group II treated with 0.5% of 4NQO in propane 1, 2-diol 3 times a week and administrated 20${\mu}g/ml$ indomethacin in drinking water ad lib. The animals of normal and control groups were sacrificed 7th, 11th, 15th, 19th, 23rd and 27th week, while those of experimental group I and II were sacrificed 7th, 9th, 11th, 13th, 15th, 17th, 19th, 21st, 23rd, 25th, 27th and 29th week after the experiment. The palatal mucosa was excised and examined grossly, light-microscopically and electron-microscopically. Following results were obtained. 1. In control group, there was no specific difference from normal tissue histopathologically. 2. In group I, hyperkeratosis mild acantosis and dyskeratosis in in 7th week, dysplasia in 11th week and severe acantosis in 19th week were observed, but squamous cell carcinoma not observed until 29th week on light-microscope. 3. In group II, hyperkeratosis, mild acantosis in 9th week, dyskeratosis and dysplasia in 21st week, severe acantosis in 27th week and squamous cell carcinoma in 29th week were observed on light-microscope. 4. In group I, widening of intercellular space in 7th week, increasing of desmosome, giant desmosome and tonofilament in cytoplasm in 9th week, severe widening of intercellular space, increasing of mitochondria and vascular degeneration in 11th week, irregular pattern of cell feature and nucleus and prominent nucleoli in 19th week, and continuity of basal lamina in 29th week were observed on electron-microscope. 5. In group II, mild widening of intercellular space in 9th week, increasing of mitochondria, vascular degeneration and tonofilament in cytoplasm in 13th week, increasing of desmosome and giant desmosome in 15th week, irregular pattern of cell surface and nucleus and prominent nucleoli, and in 21st week continuity of basal lamina were observed on electron-microscope which phenomenon occurred little later than group I. After 21st week, however, severe widening of intercellular space, vascular degeneration and continuity of basal lamina were observed as in group I.

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Enhancement of Seismic Stacking Energy with Crossdip Correction for Crooked Survey Lines

  • Kim, Ji Soo;Lee, Sun Jung;Seo, Yong Seok;Ju, Hyeon Tae
    • The Journal of Engineering Geology
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    • 제24권2호
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    • pp.171-178
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    • 2014
  • In seismic reflection data processing, the crossdip correction effectively focuses the stacking energy near the sharp bends of a crooked survey line. Additionally, approximate 3-D information on the reflector (e.g., true crossdip angle and lateral continuity) are locally investigated as a by-product of the crossdip correction procedure. Improvement of the signal-to-noise ratio and estimation of reflector crossdip attitude are tested, in terms of both common midpoint bin direction and processing-line type, using synthetic seismic reflection data. To effectively image the reflection energy near bends in seismic survey lines, straight-line binning is preferred to slalom-line binning.

Modeling and Simulation of an EPPR Valve Coupled with a Spool Valve

  • Khan, Haroon Ahmad;Yun, So-Nam
    • Journal of Drive and Control
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    • 제16권2호
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    • pp.30-35
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    • 2019
  • EPPR (Electro-hydraulic Proportional Pressure Reducing) valves are pressure control valves. In this study, an independent metering valve (IMV), which is a combination of a spool valve opened and closed with the help of an EPPR valve, was discussed. The overall performance of the valve (IMV) was obtained by the respective modeling and simulation of the system. The valve investigated in this study is to be used for independent metering of hydraulic excavator actuator e.g. boom, arm, bucket etc. To design the model, continuity equations and force balance equations were used. The set of differential equations were then simulated in Simulink using ODE45 option in the configuration toolbox. The valve has to be able to control the flow rate going in and out of the cylinder separately, which is why the particular configuration was needed and selected.

Effect of Arachidonic Acid-enriched Oil Diet Supplementation on the Taste of Broiler Meat

  • Takahashi, H.;Rikimaru, K.;Kiyohara, R.;Yamaguchi, S.
    • Asian-Australasian Journal of Animal Sciences
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    • 제25권6호
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    • pp.845-851
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    • 2012
  • To elucidate the relationship between the arachidonic acid (AA) content and the taste of broiler meat, the effects of AA-enriched oil (AAO) supplements on the fatty acid content and sensory perceptions of thigh meat were evaluated. Four types of oil, including corn oil (CO), a 1:1 mixture of AAO and palm oil (PO) (1/2 AAO), a 1:3 mixture of AAO and PO (1/4 AAO), and a 1:7 mixture of AAO and PO (1/8 AAO) were prepared. Each type of oil was mixed with silicate at a ratio of 7:3, and added to the diet at a final proportion of 5% of fresh matter. Broiler chickens were fed these diets for 1 wk before slaughter. In thigh meat, the AA content of the 1/2 and 1/4 AAO groups was significantly higher than that of the CO group. The AA content in thigh meat (y, mg/g) increased linearly with increasing dietary AAO content (x, g/100 g of diet), according to the equation y = 0.5674+0.4596x ($r^2$ = 0.8454). The content of other fatty acids was not significantly different among the 4 diet groups. Sensory evaluation showed that the flavor intensity, umami (L-glutamate taste), kokumi (continuity, mouthfulness, and thickness), and aftertaste of the 1/2 and 1/4 AAO groups were significantly higher than that of the CO group. There were significant positive correlations between AA content in thigh meat and the flavor intensity, total taste intensity, umami, and aftertaste. These data suggest that the taste of broiler meat can be improved by the amount of dietary AA supplementation.

A MULTISCALE MORTAR MIXED FINITE ELEMENT METHOD FOR SLIGHTLY COMPRESSIBLE FLOWS IN POROUS MEDIA

  • Kim, Mi-Young;Park, Eun-Jae;Thomas, Sunil G.;Wheeler, Mary F.
    • Journal of the Korean Mathematical Society
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    • 제44권5호
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    • pp.1103-1119
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    • 2007
  • We consider multiscale mortar mixed finite element discretizations for slightly compressible Darcy flows in porous media. This paper is an extension of the formulation introduced by Arbogast et al. for the incompressible problem [2]. In this method, flux continuity is imposed via a mortar finite element space on a coarse grid scale, while the equations in the coarse elements (or subdomains) are discretized on a fine grid scale. Optimal fine scale convergence is obtained by an appropriate choice of mortar grid and polynomial degree of approximation. Parallel numerical simulations on some multiscale benchmark problems are given to show the efficiency and effectiveness of the method.

Performance Analysis of Fuel Cell by Controlling Active Layer Thickness of Catalyst (촉매 활성층 두께 제어를 통한 연료전지 성능 해석)

  • Kim, H.G.
    • Transactions of the Korean Society of Machine Tool Engineers
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    • 제16권3호
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    • pp.133-140
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    • 2007
  • A 2-D model of fluid flow, mass transport and electrochemistry is analysed to examine the effect of current density at the current collector depending on active layer thickness of catlyst in polymer elecrolyte fuel cells. The finite element method is used to solve the continuity, potential and Maxwell-Stefan equations in the flow channel and gas diffusion electrode regions. For the material behavior of electrode reactions in the active catalyst layers, the agglomerate model is implemented to solve the diffusion-reaction problem. The calculated model results are described and compared with the different thickness of active catalyst layers. The significance of the results is discussed in the viewpoint of the current collecting capabilities as well as mass transportation phenomena, which is inferred that the mass transport of reactants dictates the efficiency of the electrode in the present analysis.