• Title/Summary/Keyword: $C^{*}$-적분

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[ $C^{\ast}$ ]-integral Based Life Assessment of High Temperature Pipes ($C^{\ast}$-적분에 기초한 고온배관 수명평가)

  • Lee Hyungyil
    • Journal of the Korean Institute of Gas
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    • v.4 no.4 s.12
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    • pp.25-33
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    • 2000
  • In recent years, the subject of remaining life assessment has drawn considerable attention in power plants, where various structural components typically operate at high temperature and pressure. Thus a life prediction methodology accounting for high temperature creep fracture is increasingly needed for the components. Critical defects in such structures are generally found in the form of semi-elliptical surface crack, and the analysis of which is consequently an important problem in engineering fracture mechanics. On this background, we first develop an auto mesh generation program for detailed 3-D finite element analyses of axial and circumferential semi-elliptical surface cracks in a piping system. A high temperature creep fracture parameter $C^{\ast}$-integral is obtained from the finite element analyses of generated 3-D models. Post crack growth module is further appended here to calculate the amount of crack growth. Finally the remaining lives of surface cracked pipes for various analytical parameters are assessed using the developed life assessment program.

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A Complex Velocity Boundary Element Method for Nonlinear Free Surface Problems (복소 경계요소법에 의한 비선형 자유수면문제 연구)

  • Hong, Seok Won
    • Journal of Ocean Engineering and Technology
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    • v.4 no.1
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    • pp.62-70
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    • 1990
  • Cauchy의 적분공식을 복소속도(complex velocity)에 적용하여 포텐시얼 유동을 해석하는 복소경계요소법이 개발되었다. 이 결과로 얻어지는 적분방정식은 경계면에서의 접선속도(tangential velocity)와 법선속도(normal velocity)의 함수로 주어진다. 자유수면에서의 접선속도의 시간변화(evolution of tangential velocity)를 수식화하기 위하여 새로운 비선형 동역학적 자유수면경계조건(nonlinear dynamic free surface boundary condition)을 유도하였다. 복소포텐시얼 대신 복소속도를 이용하는 이 방법은 유장내의 특이점(field singularity)을 용이하게 고려할 수 있으며, 수치미분없이 직접 경계면에서의 유속을 해로서 구하게 된다. 그러나 자유수면이 존재하는 문제의 경우에는, 자유수면에서의 동역학적 경계조건을 만족 시키기 위한 계산과정에 접선 벡타의 변화량을 추정하는 것이 포함되게 되어, 계산과정이 다소 복잡하게 된다.

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A Study on the Characteristic of Declination Forward Action of Digital Temperature Controller using air Cool-Heating (냉난방용 디지털 온도조절계의 편차 정동작 특성에 관한 연구)

  • Wee, Sung-Dong;Gu, Hal-Bon
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2002.08a
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    • pp.41-46
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    • 2002
  • 본 논문은 냉, 난방 디지털 온도 조절계(SPC 50)의 Etl의 편차 정 동작에 관한 구현장치 제작과 비례 미.적분기가 At 및 비 At기능에서 설정온도를 $100^{\circ}C$를 유지하는데 기인된 전압전류 및 전력데이터 획득의 요인과 비례미적분 정수 및 노 개선점을 연구하였다. 설정온도를 유지하는 온도변화는 At기능에서 $96.7^{\circ}C\sim102^{\circ}C$ 이며, 비At 기능에서는 $97.6^{\circ}C\sim100.2^{\circ}C$이었다. 온도유지 전압변동은 At기능에서 2V~217V이며, 비 At기능에서 20V~217V 이었다. At와 비 At 기능에서 설정온도 $100^{\circ}C$을 유지하는데 온도를 냉각시키는 환풍기가 온. 오프 되는 시간차는 20초 정도 발생하였다. 온도차 및 전압차는 두 기능간에 비례 미. 적분값 설정이 자동 및 수동이냐에 따라서 차이를 보여주었다. 두 기능에서 설정된 온도값 유지에 따른 전압전류의 승압과 하강의 변동된 변환 데이터는 설정된 온도가 성취되어지는 시간차 및 설정값 유지의 특성을 요인으로 한 PID값과 노의 개선점에 길잡이가 된다.

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New Engineering Method for Non-Linear Fracture Mechanics Analysis Enhanced Reference Stress Method (비선형 파괴역학 해석을 위한 새로운 기법: 개선된 참조 응력법)

  • Kim, Yun-Jae;Kim, Young-Jin
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.17-25
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    • 2001
  • This paper briefly describes the new engineering method, called the enhanced reference stress method, to estimate J (or $C^*$) for non-linear fracture mechanics analysis of defective components, recently proposed by authors. The proposed method offers significant advantages over existing methods in terms of its accuracy, simplicity and robustness. Examples of application of the proposed method to typical piping integrity problems such as through-wall cracked pipes under combined loading, and surface cracked pipes under internal pressure and bending are given. Excellent agreements between the FE J and $C^*$ results and those of the proposed method provide sufficient confidence in the use of the proposed method. One notable point is that the proposed method can be used to estimate J (or $C^*$) along the crack front of surface cracks. Moreover simplicity of the proposed method makes it easy to extend to more complex problems. Thus the proposed method is attractive to assess the significance of defects under practical situations.

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A method of Determination of Fracture Toughness of Reactor Pressure Vessel Steel by J Integral (J적분을 이용한 원자력 압력용기강의 파괴인성치의 결정)

  • 오세욱;임만배;김진선
    • Journal of Ocean Engineering and Technology
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    • v.9 no.1
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    • pp.111-119
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    • 1995
  • The elastic-plastic fracture toughness($J_{IC}$) and fracture resistance (J-R curve) of SA508-3 alloy steel used for nuclear reactor pressure vessel are investigated by using CT-type specimens. Fracture toughness tests are conducted by unloading compliance method and multiple specimen method at room temperature, -2$0^{\circ}C$ and 20$0^{\circ}C$. The apparent negative crack growth phenomenon which usually arises in partial unloading compliance test is well known. The negative crack growth phenomenon in determining J sub(IC) or J-R cure from partial unloading compliance experiments may be eliminated by the offset technique. In this study, the evaluation of $J_{IC}$ multiple specimen method recommended by the JSME gives the most reliable results by using half-size CT(similar-type) specimens.

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The Measurement Methods of a Large Light Source Using the Integrating Sphere (적분구를 이용한 대형광원의 측정방법)

  • Hwang, Myung-Keun;Lee, Se-Hyun
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.54 no.12
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    • pp.585-587
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    • 2005
  • In this paper, We studied two methods to measure optical characteristics of an electrodeless light source using the integrating sphere(diameter 1.5m). One is to use a center measurement method and the other is to use a side measurement method. As a result of analysis, a side measurement methode without auxiliary lamp is almost similar against a center measurement with auxiliary lamp to reduce a measurement of an error for luminous flux, luminous efficacy and spectral distribution etc. Therefore, Sample which cannot measured by reason of big size and heavy weight can be measured by a side measurement method.

Sound Radiation Analysis at High Frequency Bands by Using the Simplified BIE (간략화 된 경계 적분식에 의한 고주파수 대역 음향방사 해석)

  • Kim Jae-kwon;Ih Jeong-Guon
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.227-230
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    • 2000
  • 본 논문에서는 외부방사 문제에 널리 사용되는 음향경계 요소 법(Acoustic Boundary Element Method)을 확장하여 저주파수 대역은 기존의 방법을 이용하고 고주파수 대역에서는 경계요소의 특성길이에 의한 고주파수 상한을 극복할 수 있는 방법을 제시한다. 밴드를 대표하는 음압 레벨을 직접 계산하도록 상호상관도 가정을 통하여 간략화 하였다. 간단한 음향방사 모델인 배플이 있는 빔과 평판에 대하여 Rayleigh 적분식의 계산결과와 제안된 방법을 비교하여 적용효능성을 검토하였다. 적용을 위한 조건으로는 방사면 진동의 상호상관도가 작아야 하므로, 이를 만족시키기 위한 일반적인 조건식을 제시하여 이로부터 경계요소의 특성길이를 정하는 기준을 제시하였다.

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Method to Determine Elastic Follow-Up Factors to Predict C(t) for Elevated Temperature Structures (이차하중을 받는 고온 구조물의 C(t) 예측을 위한 탄성추종 계수 결정법)

  • Lee, Kuk-Hee;Kim, Yun-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.7
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    • pp.759-768
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    • 2012
  • This paper proposes a method to determine the elastic follow-up factors for the $C(t)$-integral under secondary stress. The rate of creep crack growth for transient creep is correlated with the $C(t)$-integral. Elastic follow-up behavior, which occurs in structures under secondary loading, prevents a relaxation of stress during transient creep. Thus, both the values of $C(t)$ and creep crack growth increase as increasing elastic follow-up. An estimation solution for $C(t)$ was proposed by Ainsworth and Dean based on the reference stress method. To predict the value of $C(t)$ using this solution, an independent method to determine the elastic follow-up factors for cracked bodies is needed. This paper proposed that the elastic follow-up factors for $C(t)$ can be determined by elastic-plastic analyses using the plastic-creep analogy. Finite element analyses were performed to verify this method.

ON THE INTEGRAL THEORY OVER DIFFERENTIABLE MANIFOLDS (I)

  • KWAK, HYO-CHUL
    • Honam Mathematical Journal
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    • v.1 no.1
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    • pp.1-9
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    • 1979
  • Positive Local Coordmate($(x^1,x^2,{\cdots}x^n)$)을 갖는 Oriented Manifold M을 생각한다. M이 Compact Carrier를 갖는 경우, M위의 n차(次) Differential Form ${\phi}^{(n)}$의 적분(積分)을 $${\int}{\phi}^{(n)}=\sum_{\alpha}{\int}_{-{\infty}}^{\infty}{\cdots}{\int}_{-{\infty}}^{\infty}f_{\alpha}{\phi}^{(n)}dx^1{\cdots}dx^n$$로 정의(定義)하며 (정의(定義) 7), M위의 p 차(次)의 Differential form $\beta^{(p)}$와 Differential simplex $S^{(p)}=(S^{(p)},\;{\pi},\;{\varepsilon})$에 대하여 $S^{(p)}$위의 $\beta^{(p)}$의 적분(積分)을 $${\int}_{^{(p)}S}{\beta}^{(p)}={\int}_{S^{(p)}}{\varepsilon}{\pi}^*{\beta}^{(p)}={\int}_{E^p}f{\cdot}{\varepsilon}{\cdot}{\pi}^*{\beta}^{(p)}$$로 정의(定義)한다 (정의(定義) 9). 단(但) $\bar{S}^{(p)}$$S^{(p)}=(p_0{\cdot}p_1{\cdots}p_p)$에 의(依)하여 Spanning 되는 $E^p$의 Subspace이고 f는 $\bar{S}^{(p)}$의 특성함수(特性函數)이다. 이때 (n-1)차(次)의 Differential Form ${\beta}^{(n-1)}$이 Compart인 Carrier를 가지면 ${\int}d{\beta}^{(n-1)}=0$이 됨을 고찰(考察)하며(정리(定理 8), (p-1)차(次) Differential Form ${\beta}^{(p-1)$과 p차(次) Differential Chain $C^{(p)}$에 관(關)하여 $${\int}_{C^{(p)}}d{\beta}^{(p-1)}={\int}_{{\partial}C^{(p)}}{\beta}^{(p-1)}$$이 성립(成立)함을 구명(究明)하려 한다(정리(定理) 10).

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An Eigen Analysis with Out-of-Plane Deformable Ring Element (면외변형 링 요소를 이용한 고유해석)

  • Moon, Won-Joo;Min, Oak-Key;Kim, Yong-Woo
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.7 s.94
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    • pp.1719-1730
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    • 1993
  • This paper presents the theoretical natural frequencies of out-of-plane deformable ring based on the variables such as out-of-plane deflection, torsional rotation and shear rotation. Based on the same variables, a finite element eigen analysis is carried out by using the $C^0$-continuous, isoparametric element which has three nodes per element and three degrees-of-freedom at each node. Numerical experiments are peformed to find the integration scheme which produces accurate natural frequencies, natural modes and correct rigid body motion. The uniformly reduced integration and the selective reduced integration give more accurate numerical frequencies than the uniformly full integration, but the uniformly reduced integration produces incorrect rigid body motion while selective reduced integration does correct one. Therefore, the ring element based on the three variables which employes selective reduced integration is recommended to avoid spurious modes, to alleviate the error due to shear locking and to produce correct rigid body motion, simultaneously.