• Title/Summary/Keyword: 경로적분

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Fracture Mechanics Analysis of a Crack in the Weld using the J-integral (J-적분을 이용한 용접접합부 균열의 파괴 역학적 해석)

  • Chang, Kyong Ho;Lee, Chin Hyung
    • Journal of Korean Society of Steel Construction
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    • v.17 no.2 s.75
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    • pp.243-251
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    • 2005
  • The fracture mechanics analysis of a crack in a weld must consider residual stress generated during welding. The standard definition of the J-integral requires a path dependent value in the presence of a residual stress field. Therefore, it is necessary to develop a path independent J-integral definition for a crack in a residual stress field. This paper addresses the modification of the Rice-J-integral to produce a path- independent J-integral when residual stresses and external forces are present. The residual stress problem is treated as an initial strain problem and the J-integral proposed for this type of problems is used. A program which can evaluate the J-integral for a crack in a weld is developed using the proposed J-integral definition. The situation when only residual stress is present is examined as is the case when mechanical stresses are applied in conjunction with a residual stress.

Plane buoyant jet in cross flow (가로흐름에 방류되는 평면부력젤)

  • Han, Mun-U;Yoon, Tae-Hun
    • Proceedings of the Korea Water Resources Association Conference
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    • 1987.07a
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    • pp.89-97
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    • 1987
  • 가로흐름에 방류되는 연직평면부력젤의 젤중심선경로와 온도분포를 실험자료와 기본방정식으로부터 유도된 적분식에 의하여 해석한다. 기본방정식으로부터 적분식의 유도는 상사법칙과 특성길이를 도입하여 연직상향 및 수평방향흐름영역에 대한 차원해석을 하였고, 실험은 속도비(R=Wo/Ua)와 방류밀도Froude수를 변화시키면서 각각에 따른 젤중심선경로와 온도분포를 획득하였다. 속도비 R과 방류밀도Froude수 Fo에 따라 부력젤의 흐름특성은 달라지게 되며, 초기조건(운동량및 부력)에관계없이 부력젤은 항상 운동량지배영역이 존재함을 알 수 있었고 적분식에 의한 역법칙(power law)과 실험 자료는 대체로 일치된결과를 나타내었다.

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Application of p-Version Crack Model Based on J-integral Method in LEFM Analysis (선형탄성 파괴역학해석에서 J-적분법에 의한 p-Version 균열모델의 적용)

  • 이채규;우광성;김영인
    • Computational Structural Engineering
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    • v.8 no.4
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    • pp.137-148
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    • 1995
  • A new path independent contour integral formulus for the distinct calculation of mode I stress intensity factors in two dimensional linear elastic fracture mechanics problems is presented. This method is based on p-convergence concepts and can be easily appended to existing finite element computer codes. In this study, the stress state at crack tip has been investigated and the path independence of J-integral values has been tested with respect to different contours expressed by normalized distance apart from the crack tip. Numerical results by p-convergence for the problems such as centrally cracked panels, single and double edged cracks in rectangular panels have been compared with those by the conventional h-convergence. The comparison demonstrates the accuracy and stability of the proposed method.

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Fracture Mechanics Analysis of a Interface Crack in the Weld of Dissimilar Steels using the J-integral (J-적분을 이용한 이종강재 용접접합부 계면균열의 파괴역학적 해석)

  • Lee Chin-Hyung;Chang Kyong-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.4
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    • pp.423-431
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    • 2004
  • For the fracture mechanics analysis of cracks in welds of dissimilar steels, residual stress analysis and fracture analysis must be performed simultaneously. The standard definition of the J -integral leads to a path dependent value in the presence of a residual stress field. And unlike cracks in homogeneous materials, a bimaterial interface crack always induces both opening and shearing modes of stress in the vicinity of the crack tip. Therefore, it is necessary to develope a path independent J-integral definition for a crack in a residual stress field generated by welding of dissimilar steels. This paper addresses the modification of the Rice-J-integral to produce a path independent J -integral when residual stresses due to welding of dissimilar steels and external forces are present. The residual stress problem is treated as an initial strain problem and the J-integral proposed for this class of problems is used. And a program which can evaluate the J -integral for a crack in a weld of dissimialr steels is developed using proposed J integral definition.

The Calculation of Stress Intensity Factors in the Orthotropic Elastic Plate with the Cracked Circular-hole using a Contour Integral Method (경로적분법에 의한 원공크랙이 있는 직교이방성 탄성평판의 응력 확대계수 계산)

  • Kim, Jin-Woo
    • Journal of the Korea Institute of Military Science and Technology
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    • v.8 no.4 s.23
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    • pp.136-145
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    • 2005
  • 특이응력해석을 위한 일반화된 가역상반일 경계적분식이 섬유강화복합재를 모형화한 직교 이방성 크랙평판의 수치해를 위하여 발전시켰다. 이 적분방정식은 평판경계에서의 탄성변위와 트랙션의 변수로 구성된 경계적분식의 형태로 하중이 없다는 두 크랙면의 경계조건과 유한의 탄성변형에너지의 개념에서 경계적분식에 필요한 특성해를 규정하고 대응되는 보조해를 계산하였다. 대칭모우드 I형의 중앙원공크랙평판 및 복합모우드형의 반원편측크랙 일단고정평판의 응력확대계수가 임의의 섬유방향각에 따라서 계산되었다.

A Fuzzy Evaluation Method of Traveler's Path Choice in Transportation Network (퍼지평가방법을 이용한 교통노선 결정)

  • 이상훈;김덕영;김성환
    • Journal of Korean Society of Transportation
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    • v.20 no.1
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    • pp.65-76
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    • 2002
  • This study is realized using fuzzy evaluation and AHP(the analytic hierarchy process) for the optimum search of traffic route and estimated by the quantitative analysis in the vague subjective judgement. It is different from classical route search and noticed thinking method of human. Appraisal element, weight, appraisal value of route is extracted from basic of the opinion gathering fur the driving expert and example of route model was used for the finding of practice utility. Model assessment was performed attribute membership function making of estimate element, estimate value setting, weight define by the AHP, non additive presentation of weight according to $\lambda$-fuzzy measure, Choquet fuzzy integral.

On Computation of the Stress Intensity Factors in the V-Notched Plates using a contour integral method (경로적분법 을 이용한 V-노치 평판 의 응력확대계수 계산)

  • 김진우;김선덕;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.8 no.3
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    • pp.232-240
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    • 1984
  • The plane elastostatic boundary value problem with the sharp V-notched singularity is formulated by a contour integral method for determining numerically the stress intensity factors. The integral formula is based on Somigliana type of reciprocal work in terms of displacement and traction vectors on the plate boundary. The characteristic singular solutions can be identified on the basis of traction free boundary conditions of two radial notch edges. Two numerical example examples are treated in detail; a symmetric mode-I type of notched plate with various interior angles and a mixed mode type of cantilever subjected to end shear.

Fracture Analysis of Welded Plates using the J-integral (J-적분을 이용한 용접구조물의 파괴해석)

  • 심용래
    • Computational Structural Engineering
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    • v.9 no.4
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    • pp.173-179
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    • 1996
  • Study of weldment fracture behavior includes thermal analysis, residual stress analysis, and fracture analysis. The J-integral loses its path-independency in a residual stress field. Therefore, it is necessary to develop a program to calculate the J-integral in a welded plate. In this study, theoretical formulation and program were developed for the evaluation of the J-integral at the crack tip of weldments. To verify equations and program, welded thin plate and thick plate were used to calculate residual stress and the J-integral.

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탄성-소성파괴 매개변수와 크리이프파괴 매개변수에 관하여

  • 이강용
    • Journal of the KSME
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    • v.27 no.2
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    • pp.132-136
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    • 1987
  • 최근 저자는 혼합모우드에 대한 Budiansky와 Rice의 $J_k$ 적분에 모순이 있음을 지적한 바 있다. 그러나, Kishimoto등은 파괴진행영역을 고려한 경로 독립적분J/^/을 제시하여 주목을 끌고 있다. Landes등은 Rice의 J적분을 정상상태 크리이프에까지 연장 적용하기 위한 $C^*$적분을 소개하였다. 그후 크리이프파괴에 대한 매개변수로서 Liu등에 의한 $C_{gk}{\;}^*$, Brust등에 의한 $T_k{\}^*$등이 소개되어 계속 연구중이다. 여기에서는 이러한 매개변수들에 대해 개괄적으로 서술하고자 한다.

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CUDA programming environment을 활용한 Path-Integral Monte Carlo Simulation의 구현

  • Lee, Hwa-Young;Im, Eun-Jin
    • Proceedings of the Korea Society for Industrial Systems Conference
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    • 2009.05a
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    • pp.196-199
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    • 2009
  • 높아지는 Graphic Processing Unit (GPU)의 연산 성능과 GPU에서의 범용 프로그래밍을 위한 개발 환경의 개발, 보급으로 인해 GPU를 일반연산에 활용하는 연구가 활발히 진행되고 있다. 이와같이 일반 연산에 활용되고 있는 GPU로 nVidia Tesla와 AMD/ATI의 FireStream 들이 있다. 특수목적 연산 장치인 GPU를 일반 연산을 위해 프로그래밍하기 위해서는 그에 맞는 프로그램 개발 환경이 필요한데 nVidia에서 개발한 CUDA (Compute Unified Device Architecture) 환경은 자사의 GPU 프로그램 개발을 위해 제공되는 개발 환경이다. CUDA 개발 환경은 nVidia GPU 프로그래밍 뿐만 아니라 차세대 이종 병렬 프로그램 개발 환경의 공개 표준으로 논의되고 있는 OpenCL (Open Computing Language) 와 유사한 특징을 보일 것으로 예상되기 때문에 그 중요성은 특정 GPU 에만 국한되지 않는다. 본 논문에서는 경로 적분 몬테 카를로 (Path Integral Monte Carlo) 방법을 CUDA 개발 환경을 사용하여 nVidia GPU 상에서 병렬화한 결과를 제시하였다.

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