• 제목/요약/키워드: propagation equation

검색결과 555건 처리시간 0.02초

Monte Carlo burnup and its uncertainty propagation analyses for VERA depletion benchmarks by McCARD

  • Park, Ho Jin;Lee, Dong Hyuk;Jeon, Byoung Kyu;Shim, Hyung Jin
    • Nuclear Engineering and Technology
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    • 제50권7호
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    • pp.1043-1050
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    • 2018
  • For an efficient Monte Carlo (MC) burnup analysis, an accurate high-order depletion scheme to consider the nonlinear flux variation in a coarse burnup-step interval is crucial accompanied with an accurate depletion equation solver. In a Seoul National University MC code, McCARD, the high-order depletion schemes of the quadratic depletion method (QDM) and the linear extrapolation/quadratic interpolation (LEQI) method and a depletion equation solver by the Chebyshev rational approximation method (CRAM) have been newly implemented in addition to the existing constant extrapolation/backward extrapolation (CEBE) method using the matrix exponential method (MEM) solver with substeps. In this paper, the quadratic extrapolation/quadratic interpolation (QEQI) method is proposed as a new high-order depletion scheme. In order to examine the effectiveness of the newly-implemented depletion modules in McCARD, four problems in the VERA depletion benchmarks are solved by CEBE/MEM, CEBE/CRAM, LEQI/MEM, QEQI/MEM, and QDM for gadolinium isotopes. From the comparisons, it is shown that the QEQI/MEM predicts ${k_{inf}}^{\prime}s$ most accurately among the test cases. In addition, statistical uncertainty propagation analyses for a VERA pin cell problem are conducted by the sensitivity and uncertainty and the stochastic sampling methods.

유연한 구조물의 공간전파에 관한 해석적 해법 (Analytic Solution to the Spatial Propagation of the Flexible Structures)

  • 석진영;정은태;김유단
    • 대한기계학회논문집A
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    • 제25권12호
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    • pp.2040-2047
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    • 2001
  • In this paper, a singularity problem of the state transition matrix is investigated in the spatial propagation when the spatial matrix differential equation is constructed via time finite element analysis. A parametric study shows that the degree of singularity of the state transition matrix depends on the degree of flexibility of the structures. As an alternative to avoid the numerical problems due to the singularity, an analytic solution fur spatial propagation of the flexible structures is proposed. In the proposed method, the spatial properties of the structure are analytically expressed by a combination of transcendental functions. The analytic solution serves fast and accurate results by eliminating the possibility of the error accumulation caused by the boundary condition. Several numerical examples are shown to validate the effectiveness of the proposed methods.

Ti 합금의 피로 특성 고찰 (Study for Fatigue Crack Propagation Behavior of Ti-alloy)

  • 정화일;조규종
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 추계학술대회 논문집
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    • pp.786-789
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    • 1997
  • Ti-6Al-4V has been used widely in biomedical field. But because of its toxicity, the ${\beta}$ stabilizing element, V, in Ti-6Al-4V has been replaced by Nb, Ta. Ti-10Ta-10Nb has been developed for biomedical applications. The fatigue crack propagation behavior of Ti-alloy(Ti-10Ta-10Nb) was investigated, in comparison with that of pure Ti. In order to better understand the fundamental fatigue behavior of Ti-10Ta-10Nb, rotating bending fatigue tests have been carried out. Ti-10Ta-10Nb has a better fatigue strength than pure Ti. In this paper, fatigue life has been predicted with Nisitani's equation of the fatigue crack propagation that can be established by measuring fatigue crack growth rates.

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Theoretical analysis of overlay resisting crack propagation in old cement concrete pavement

  • Pan, Baofeng;Gao, Yuanyuan;Zhong, Yang
    • Structural Engineering and Mechanics
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    • 제52권4호
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    • pp.829-841
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    • 2014
  • The main purpose of this study is to determine the effect of overlay on the crack propagation. In order to simplify the problem, a cement concrete pavement is modeled as an elastic plate on Winkler foundation. To derive the singular integral equations, the Fourier transform and dislocation density function are used. Lobatto-Chebyshev integration formula, as a numerical method, is used to solve the singular integral equations. The numerical solution of stress intensity factor at the crack tip is derived. In order to examine the effect of overlay for resisting crack propagation, numerical analyses are carried out for a cement concrete pavement with an embedded crack and a concrete pavement with an asphalt overlay. Results show the significant factors that influence the crack propagation.

微小格子 를 利용한 304스테인레스鋼 의 피勞 크랙 進展擧動 에 관한 硏究 (Fatigue-crack propagation behavior of 304 stainless steel by Moire grating)

  • 옹장우;임용호
    • 대한기계학회논문집
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    • 제6권3호
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    • pp.197-203
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    • 1982
  • The fatigue crack propagation behavior or non-heat-treatment and thermally aged type 304 stainless steel was investigated on the basis of linear elastic fracture mechanics. This Study was concentrated on the relations between the crack propagation rate and the stress intensity factor range. The following results are obtained : The precision measurement and observation of fatigue crack propagation behavior is studied with moire grating. The effect of thermally aged type 304 stainless steel is investigated under small load. In the equation da/dN=c(.DELTA. k)/SUP m/, factor m of thermally aged steel is a little higher than non-heat-treatmented steel and its limit is m=1.35-4.2.

매우 빠르게 움직이는 열원 주위의 온도분포에 관한 연구 (A Study on the temperature Distributions at the Vicinity of a Very Fast Moving Heat Source)

  • 조창주;정우남;이용호
    • 한국정밀공학회지
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    • 제16권8호
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    • pp.162-169
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    • 1999
  • Fourier heat conduction law becomes invalid for the situations involving extremely short time heating, very low temperatures and fast moving heat source(or crack), since the wave nature of heat propagation becomes dominant. For these conditions, the modified heat conduction equation with the finite propagation speed of heat in the medium could be applied to predict heat flux and temperature distributions. In this study, temperature distributions at the vicinity of a very fast moving heat source are investigated numerically. Thermal fields are characterized by thermal Mach numbers(M) defined as the ratio of moving heat source speed to heat propagation speed in the solid. In the transonic and supersonic ranges($M{\ge}1$), thermal shocks are shown, which separate the heat affected zone from the thermally undisturbed zone.

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Wave propagation of a functionally graded beam in thermal environments

  • Akbas, Seref Doguscan
    • Steel and Composite Structures
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    • 제19권6호
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    • pp.1421-1447
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    • 2015
  • In this paper, the effect of material-temperature dependent on the wave propagation of a cantilever beam composed of functionally graded material (FGM) under the effect of an impact force is investigated. The beam is excited by a transverse triangular force impulse modulated by a harmonic motion. Material properties of the beam are temperature-dependent and change in the thickness direction. The Kelvin-Voigt model for the material of the beam is used. The considered problem is investigated within the Euler-Bernoulli beam theory by using energy based finite element method. The system of equations of motion is derived by using Lagrange's equations. The obtained system of linear differential equations is reduced to a linear algebraic equation system and solved in the time domain and frequency domain by using Newmark average acceleration method. In order to establish the accuracy of the present formulation and results, the comparison study is performed with the published results available in the literature. Good agreement is observed. In the study, the effects of material distributions and temperature rising on the wave propagation of the FGM beam are investigated in detail.

가공경화지수가 피로균열 지연거동에 끼치는 영향 (Effects of Strain Hardening Exponents on the Retardation of Fatigue Crack Propagation)

  • 김상철;강동명
    • 대한기계학회논문집
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    • 제14권5호
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    • pp.1193-1199
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    • 1990
  • 본 연구에서는 가공경화지수 (n)가 서로 다른 몇가지 재료를 선택하고 과대하 중의 비 (%PL)를 달리하는 단일 과대하중 피로 시험을 행하여 재료의 가공경화지수가 피로 균열 진파의 지연거동에 미치는 영향과 아울러 균열닫힘현상과의 관계를 구명하였다.

비선형 증폭 루프에서의 평균 솔리톤의 안정성 (Stability of average soliton propagation in a nonlinear amplifying loop mirror)

  • 심숙이;이성서;김광훈;김기옥
    • 한국광학회지
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    • 제12권6호
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    • pp.507-510
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    • 2001
  • 간단한 비선형 증폭 루프에서의 평균 솔리톤 전송의 안정성을 비선형 Schroedinger방정식에 기초한 수치해석법을 이용하여 솔리톤 주기에 대한 증폭 주기의 비율과 루프에서의 erbium doped광섬유의 길이 비율을 변화시켜가며 계산하고 그 결과를 분석하였다. 계산 결과 루프에서의 erbium doped광섬유의 길이 비율이 작을 경우 증폭 주기가 솔리톤 주기에 비해 많이 작아야 한다는 기존의 평균 솔리톤 형성 조건이 완화됨을 알 수 있었다.

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HTS 케이블용 은시스 Bi-2223 테이프 및 원통형 적층 도체의 상전도 영역전파 특성 (Normal Zone Propagation Properties of Ag Sheathed Bi-2223 Tape for HTS Cable and Cylindrical Stacked Conductor)

  • 이병성;김영석;장현만;백승명;김상현
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2000년도 추계학술대회 논문집
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    • pp.448-451
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    • 2000
  • Normal zone propagation(NZP) characteristics were investigated on Ag sheathed Bi-2223 tape and cylindrical stacked conductor. Normal zone propagation(N2P) experiments with tape were conducted with refrigerator in temperature from 45 K to 77 K, 0 T. Cylindrical stacked conductor was molding with epoxy and experiments were conducted with adiabatic condition in $LN_2$. NZP velocities of tape with two condition of DC and AC were almost same at each temperature. NZP velocities of cylindrical stacked conductor were 1.9-2.4 cdsec in $LN_2$. Numerical analysis was carried out by a one-dimensional heat balance equation. As a result, simulated results of NZP velocity with Bi-2223 tape were similar to experimental results in DC.

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