• Title/Summary/Keyword: density function theory

검색결과 196건 처리시간 0.028초

타원균열에 작용하는 일반적인 하중에서의 응력확대계수 계산 (Determination of $k_1$in Elliptic Crack under General Ioading Conditions)

  • 안득만
    • 대한기계학회논문집A
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    • 제21권2호
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    • pp.232-244
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    • 1997
  • In this paper weight function theory is extended to the determination of the stress intensity factors for the mode I in elliptic crack. For the calculation of the fundamental fields Poisson's theorem and Ferrers's method were employed. Fundamental fields are constructed by single layer potentials with surface density of crack harmonic fundamental polynimials. Crack harmonic fundamental polynimials up to order four were given explicitly. As an example of the application of the weight function theory the stress intensity factors along crack tips in nearly penny-shaped elliptic crack are calculated.

재난변동풍하중을 받는 고층건물의 평균자승응해석 (Mean Square Response Analysis of the Tall Building to Hazard Fluctuating Wind Loads)

  • 오종섭;황의진;류지협
    • 한국방재안전학회논문집
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    • 제6권3호
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    • pp.1-8
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    • 2013
  • 시간과 공간에 따라 변화하는 난류성분의 변동풍하중을 받는 고층건물의 경량화 및 연성화 현상은 고유진동수와 감쇠비를 적게함으로서 동적으로 매우 불리한 진동문제을 발생하게 되어, 변동풍하중을 받는 도심의 고층건물에 대한 동적해석의 중요성이 인식되고 있다. 본 논문에서는 돌풍과 같이 짧은 시간동안에 통계적 성질이 변화하는 변동풍하중을 나타내기 위하여 정상불규칙 풍하중에 시간에 따라 변화하는 결정적함수(A(t) = 1-exp($-{\beta}t$))를 곱하여 나타냈고, 이러한 변동풍하중을 받는 고층건물에 대한 평균류방향의 동적변위응답해석은 진동이론으로부터 Time-dependent Response Spectral Density함수를 나타냈고, 진동함수를 포함하여 나타내는 Time-dependent Response Spectral Density의 진동수영역에 대한 적분의 해로부터 동적응답을 해석적으로 구하기 위하여 Contour적분에서 Cauchy의 적분정리와 잔유치 정리(residue theorem)에 의한 잔유치 적분으로부터 해석함수를 구했다. 해석 예에서 본 논문에서 구한 해석함수와 기존의 수치해석방법에 따른 결과를 비교 검토했고, 고층건물의 동적 특성에 따른 해석결과도 비교 검토했다.

Thomson Effect in Magneto-Thermoelastic Material with Hyperbolic two temperature and Modified Couple Stress Theory

  • Iqbal, Kaur;Kulvinder, Singh
    • Steel and Composite Structures
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    • 제45권6호
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    • pp.851-863
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    • 2022
  • This research deals with the study of the Thomson heating effect in magneto-thermoelastic homogeneous isotropic rotating medium, influenced by linearly distributed load and as a result of modified couple stress theory. The charge density is taken as a function of the time of the induced electric current. The heat conduction equation with energy dissipation and with hyperbolic two-temperature (H2T) is used to formulate the model of the problem. Laplace and Fourier transforms are used to solve this mathematical model. Various components of displacement, temperature change, and axial stress as well as couple stress are obtained from the transformed domain. To get the solution in physical domain, numerical inversion techniques have been employed. The Thomson effect with GN (Green-Nagdhi) -III theory and Modified Couple Stress Theory (MCST) is shown graphically on the physical quantities.

Partition Function of Electrons in Liquid Metals

  • Zhang, Hwe-Ik
    • Nuclear Engineering and Technology
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    • 제5권2호
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    • pp.77-82
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    • 1973
  • Fermi통계를 도입한 새로운 밀도행렬을 정의함으로써 전자들의 Partition 함수를 구하는 방법이 마련되었다. 새 밀도행렬에 대응하는 Bloch방정식이 형성되었고 약한 Potential에 대하여 이것을 푸는 방법이 얻어겼다. 이 이론은 액체금속의 모델이 될 수 있는 구조적 불규칙계에 적용되었다.

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Wigner 함수 모델을 이용한 양자전송의 시뮬레이션 (Simulation of Quantum transport using wigner function model)

  • 김경염;이병호
    • 전자공학회논문지D
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    • 제34D권3호
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    • pp.93-104
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    • 1997
  • Steady-state I-V characteristics of a resonant tunneling diode (RTD) is calculated by numerical analysis using quantum liouville equation based on wigner function which is derived from density operator. Modifications to the conventional discrete model are made to calculate more accurate quantum correlations. It is pointed out that we must include inelastic processes and the resistivity of the contacting layers to get a much more credible potential which can be theoretically obtained from the simple screening theory. The effects of spatially-varying effective mass is also checked briefly.

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Electrostatic Properties of N-Acetyl-Cysteine-Coated Gold Surfaces Interacting with ZrO2 Surfaces

  • Park, Jin-Won
    • Bulletin of the Korean Chemical Society
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    • 제33권9호
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    • pp.2855-2860
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    • 2012
  • The coating N-acetyl cysteine (NAC) on gold surfaces may be used to design the distribution of either gold particle adsorbed to the $ZrO_2$ surface or vice versa by adjusting the electrostatic interactions. In this study, it was performed to find out electrostatic properties of the NAC-coated-gold surface and the $ZrO_2$ surface. The surface forces between the surfaces were measured as a function of the salt concentration and pH value using the AFM. By applying the Derjaguin-Landau-Verwey-Overbeek (DLVO) theory to the surface forces, the surface potential and charge density of the surfaces were quantitatively acquired for each salt concentration and each pH value. The dependence of the potential and charge density on the concentration was explained with the law of mass action, and the pH dependence was with the ionizable groups on the surface.

전위이론에 의한 열충격하의 균열거동에 관한 연구 (Study on the Behavior of a Center Crack under Thermal Impact by the Dislocation Theory)

  • 조종두;안수익
    • 대한기계학회논문집A
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    • 제20권10호
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    • pp.3408-3414
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    • 1996
  • This paper investigated plane strain stress intensity factors caused by thermal impact on a center-crack strip. The crack was aligned perpendicularly to the strip boundary. The problem was analysed by determining the dislocation density function in the singular integral equations formulated by the dislocation theory. Under the abrupt temperature change along the edge, the center crack behaved as a mode I crack due to the symmetric geometry. The value of maximum stress intensity factor monotonically increased until the ratio of dimensionless crack length approached to about 0.3, followed by gradual decrease. As a result, a critical corresponding crack length was determined.

Electrostatic Properties of N-Acetyl-Cysteine-Coated Gold Surfaces Interacting with TiO2 Surfaces

  • Park, Jin-Won
    • Bulletin of the Korean Chemical Society
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    • 제30권4호
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    • pp.902-906
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    • 2009
  • It is found that that the coating N-acetyl cysteine (NAC) on gold surfaces may be used to design the distribution of either gold particle adsorbed to the $TiO_2$ surface or vice versa by adjusting the electrostatic interactions. In this study, we investigated electrostatic properties of the NAC-coated-gold surface and the $TiO_2$ surface. The surface forces between the surfaces were measured as a function of the salt concentration and pH value using the AFM. By applying the Derjaguin-Landau-Verwey-Overbeek (DLVO) theory to the surface forces, the surface potential and charge density of the surfaces were quantitatively acquired for each salt concentration and each pH value. The surface potential and charge density dependence on the salt concentration was explained with the law of mass action, and the pH dependence was with the ionizable groups on the surface.

Low-energy band structure very sensitive to the interlayer distance in Bernal-stacked tetralayer graphene

  • Lee, Kyu Won;Lee, Cheol Eui
    • Current Applied Physics
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    • 제18권11호
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    • pp.1393-1398
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    • 2018
  • We have investigated Bernal-stacked tetralayer graphene as a function of interlayer distance and perpendicular electric field by using density functional theory calculations. The low-energy band structure was found to be very sensitive to the interlayer distance, undergoing a metal-insulator transition. It can be attributed to the nearest-layer coupling that is more sensitive to the interlayer distance than are the next-nearest-layer couplings. Under a perpendicular electric field above a critical field, six electric-field-induced Dirac cones with mass gaps predicted in tight-binding models were confirmed, however, our density functional theory calculations demonstrate a phase transition to a quantum valley Hall insulator, contrasting to the tight-binding model prediction of an ordinary insulator.

Electron Emission Theory for LCD Backlight

  • Kim, Hee-Tae;Lee, Dong-Chin;Nam, Seok-Hyun;Jang, Tae-Seok
    • 한국정보디스플레이학회:학술대회논문집
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    • 한국정보디스플레이학회 2008년도 International Meeting on Information Display
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    • pp.1602-1605
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    • 2008
  • We considered most general electron emission caused by temperature as well as electric field with a free electron gas model. The total electron emission current density comes from field emission effect where electron energy is lower than vacuum and from thermionic emission effect where electron energy is higher than vacuum. The total electron emission current density is shown as a function of temperature for constant electric field, and as a function of electric field for constant temperature.

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