• Title/Summary/Keyword: 선형혼합법칙

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Comparative Numerical Analysis of Homogenized and Discrete-Micromechanics Models for Functionally Graded Materials (기능경사재를 위한 균질화와 이산화-미시역학 모델에 대한 비교 수치해석)

  • Ha, Dae-Yul;Lee, Hong-Woo;Cho, Jin-Rae
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.399-404
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    • 2000
  • Functionally graded materials(FGMs) involve dual-phase graded layers in which two different constituents are mixed continuously and functionally according to a given volume fraction. For the analysis of their thermo-mechanical response, conventional homogenized methods have been widely employed in order to estimate equivalent material properties of the graded layer. However, such overall estimations are insufficient to accurately predict the local behavior. In this paper, we compare the thermo-elastic behaviors predicted by several overall material-property estimation techniques with those obtained by discrete analysis models utilizing the finite element method, for various volume fractions and loading conditions.

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Review of Mixed-Effect Models (혼합효과모형의 리뷰)

  • Lee, Youngjo
    • The Korean Journal of Applied Statistics
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    • v.28 no.2
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    • pp.123-136
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    • 2015
  • Science has developed with great achievements after Galileo's discovery of the law depicting a relationship between observable variables. However, many natural phenomena have been better explained by models including unobservable random effects. A mixed effect model was the first statistical model that included unobservable random effects. The importance of the mixed effect models is growing along with the advancement of computational technologies to infer complicated phenomena; subsequently mixed effect models have extended to various statistical models such as hierarchical generalized linear models. Hierarchical likelihood has been suggested to estimate unobservable random effects. Our special issue about mixed effect models shows how they can be used in statistical problems as well as discusses important needs for future developments. Frequentist and Bayesian approaches are also investigated.

A Study on the Surface Flashover Characteristics in Gap change of Different Insulation Source (이종절연재하의 갭 변화에 따른 연면방전 특성)

  • Lee, J.H.;Choi, Y.K.;Yoon, D.H.;Choi, S.T.;Pack, W.Z.;Lee, K.S.
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2009.05a
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    • pp.273-276
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    • 2009
  • 본 연구는 Knife형 전극을 사용하여 이종절연재하의 갭 변화에 따른 연면방전 특성을 연구할 목적으로 교류고전압 인가 시 압력(P), 전극간거리(d) 및 사용된 가스의 변화에 따른 절연파괴특성을 연구하였다. 본 연구를 통해 챔버 내의 P와 d가 증가할수록 $SF_6$, I-Air, Dry-Air 및 순수 $N_2$는 파센의 법칙에 일치하여 절연파괴특성이 비례 증가하는 것을 확인했다. 그리고 $N_2:O_2$혼합가스 중 특정 비율에서는 P에 대해선 비선형적으로, d에 대해선 선형적으로 증가함을 확인했다.

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Numerical Analysis for the Characteristic Investigation of Homogenization Techniques Used for Equivalent Material Properties of Functionally Graded Material (기능경사 소재 등가 물성치 예측을 위한 균질화 기법의 특성분석을 위한 수치해석)

  • Cho, Jin-Rae;Choi, Joo-Hyoung;Shin, Dae-Sub
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.1
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    • pp.13-20
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    • 2008
  • Graded layers in which two different constituent particles are mixed are inserted into functionally graded material such that the volume fractions of constituent particles vary continuously and functionally over the entire material domain. The material properties of this dual-phase graded region, which is essential for the numerical analysis of the thermo-mechanical behavior of FGM, have been predicted by traditional homogenization methods. But, these methods are limited to predict the global equivalent material properties of FGMs because the detailed geometry information such as the particel shape and the dispersion structure is not considered. In this context, this study intends to investigate the characteristics of these homogenization methods through the finite element analysis utilizing the discrete micromechanics models of the graded layer, for various volume fractions and external loading conditions.

Sensitivity Analysis of Infiltration using a Mass Conservative Numerical Solution of Richards Equation (Richairds 방정식의 질량보존적 수치해석 해법에 의한 침투량의 민감도분석)

  • Choi, Hyun Il
    • Journal of Korean Society on Water Environment
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    • v.23 no.5
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    • pp.683-688
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    • 2007
  • Water flow into unsaturated soils is most often modeled by Richards equation consisting of the mass conservation law and Darcy's law. Three standard forms of Richards equation are presented as the head (${\Psi}$)-based form, the moisture content (${\theta}$) based form, and the mixed form. Numerical solutions of these partial differential equations with highly nonlinear terms can cause poor results along with significant mass balance errors. The numerical solution based on the mixed form of Richards equation is known that the mass is perfectly conserved without any additional computational efforts. The aim of this study is to develop fully implicit numerical scheme of Richards equation for one-dimensional vertical unsaturated flow in homogeneous soils using the finite difference approximation, and then to perform sensitivity analysis of infiltration to the variations in the unsaturated soil properties and to different soil types.

Mixed Control of Agile Missile with Aerodynamic Fin and Thrust Vectoring Control (공력 및 추력을 이용한 유도탄의 혼합제어기 설계(I))

  • 이호철;최용석;최재원;송택렬;송찬호
    • Journal of the Korea Institute of Military Science and Technology
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    • v.6 no.3
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    • pp.122-130
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    • 2003
  • This paper is concerned with a control allocation strategy using the dynamic inversion and the pseudo inverse control which generates the nominal control input trajectories, and autopilot design using time-varying control technique which is time-varying version of pole placement of linear time-invariant system for an agile missile with aerodynamic fin and thrust vectoring control. Control allocation of this paper is capable of extracting the maximum performance from each control effector, aerodynamic fin and thrust vectoring control, by combining the action of them. Time-varying control technique for autopilot design enhance the robustness of the tracking performance for a reference command. The main results are validated through the nonlinear simulation.

Breakdown Characteristics of Teflon by N2-O2 Mixture gas (N2-O2 혼합가스에 따른 Teflon의 절연파괴특성)

  • Choi, Eun-Hyeok;Choi, Byoung-Sook;Park, Sung-Gyu
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.1
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    • pp.69-74
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    • 2018
  • With the increasing development of industrial society and the availability of high quality electrical energy, the simplification of operation and maintenance procedures is required, in order to ensure the reliability and safety of electrical systems. In this paper, the dielectric breakdown characteristics of $N_2-O_2$ mixed gas solid insulation, which is used as an alternative to SF6 in various electric power facilities, are verified. When the gas mixture has a composition ratio similar to that of the atmosphere, the dielectric breakdown characteristics are relatively stabilized. It was confirmed that the breakdown voltage of the gas in the electrode near an equal electric field increased with increasing pressure according to Paschen's rule. The breakdown voltage of the surface increased linearly with increasing pressure, and the difference was caused by the mixing ratio of $O_2$ gas. This change in the surface insulation breakdown voltage was caused by the influence of the electrically negative $O_2$ gas and the intermolecular collision distance. In this study, the influence of the intermolecular impact distance was larger (than that in the absence of the electrically negative $O_2$ gas). The breakdown voltage relation applicable to Teflon according to the surface insulation characteristics was calculated. The characteristics of the surface insulation properties of Teflon, which is used as a solid insulation material, were derived as a function of pressure. It is thought that these results can be used as the basic data for the insulation design of electric power facilities.

Fracture and Hygrothermal Effects in Composite Materials (복합재의 파괴와 hygrothermal 효과에 관한 연구)

  • Kook-Chan Ahn;Nam-Kyung Kim
    • Journal of the Korean Society of Safety
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    • v.11 no.4
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    • pp.143-150
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    • 1996
  • This is an explicit-Implicit, finite element analysis for linear as well as nonlinear hygrothermal stress problems. Additional features, such as moisture diffusion equation, crack element and virtual crack extension(VCE ) method for evaluating J-integral are implemented in this program. The Linear Elastic Fracture Mechanics(LEFM) Theory is employed to estimate the crack driving force under the transient condition for and existing crack. Pores in materials are assumed to be saturated with moisture in the liquid form at the room temperature, which may vaporize as the temperature increases. The vaporization effects on the crack driving force are also studied. The Ideal gas equation is employed to estimate the thermodynamic pressure due to vaporization at each time step after solving basic nodal values. A set of field equations governing the time dependent response of porous media are derived from balance laws based on the mixture theory Darcy's law Is assumed for the fluid flow through the porous media. Perzyna's viscoplastic model incorporating the Von-Mises yield criterion are implemented. The Green-Naghdi stress rate is used for the invariant of stress tensor under superposed rigid body motion. Isotropic elements are used for the spatial discretization and an iterative scheme based on the full newton-Raphson method is used for solving the nonlinear governing equations.

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The Proposal for Friction Velocity Formula at Uniform Flow Channel Using the Entropy Concept (엔트로피 컨셉을 이용한 등류수로 마찰속도식 제안)

  • Choo, Tai-Ho;Son, Hee-Sam;Yun, Gwan-Seon;Noh, Hyun-Seok;Ko, Hyun-Soo
    • The Journal of the Korea Contents Association
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    • v.15 no.2
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    • pp.499-506
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    • 2015
  • The friction velocity is a quantity with the dimensions of velocity defined by the friction stress and density of a wall surface at near wall of flow condition. Also, the friction velocity is the hydraulic parameter describing shear force at the bottom flow. Moreover, it is a very important factor in designing open channel and essential to determine the mixing coefficient in the main flow direction. The estimation of the friction velocity are such as methods using channel slope, linear law of the mean velocity at viscous sub-layer and direct measurement of wall shear stress, etc. In the present study, we propose a friction velocity equation that has been optimized by combining the concept of entropy, which is used in stochastic method, and to verify the proposed equation, the experimental data measured by Song was used. The R squared for friction velocities between proposed equation and friction velocity formula analyzed 0.999 to 1.000 in a very good agreement with each equation.

The Effect of Fiber Volume Fraction Non-uniformity in Thickness Direction on the Buckling Load of Cylindrical Composite Lattice Structures (두께 방향 섬유체적비 불균일이 원통형 복합재 격자 구조 좌굴하중에 미치는 영향)

  • Kong, Seung-Taek;Jeon, Min-Hyeok;Kim, In-Gul;Lee, Sang-Woo
    • Composites Research
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    • v.34 no.2
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    • pp.129-135
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    • 2021
  • In this paper, in order to examine the effect of fiber volume fraction non-uniformity in thickness direction on the buckling load of cylindrical composite lattice structures, we modified the equation of buckling load of the cylindrical composite lattice structures proposed by Vasiliev. The thickness of each layer of the rib was varied by fiber volume fraction, and material properties were applied differently by using the rule of mixture. Also, we performed linear buckling analysis by varying the structure size, thickness, and average value of the fiber volume fraction of finite element model. Finally, by comparing the calculation results of the buckling load of the equivalent model using the modified buckling load equation and the results of the finite element analysis, we found that the fiber volume fraction non-uniformity in thickness direction can reduce the buckling load of the cylindrical composite lattice structure.