• Title/Summary/Keyword: Contour Integral

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Analysis of Stress Intensity Factors for Circular arc Cracks by Boundary Element Method (경계요소법에 의한 아크균열의 응력확대계수 해석)

  • 백열선;이장규;우창기
    • Journal of the Korean Society of Safety
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    • v.14 no.4
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    • pp.28-36
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    • 1999
  • In this paper, A circular arc crackered plate in biaxially stretched sheets was investigated in the boundary element method. The applications of fracture mechanics have traditionally concentrated on crack problems under an mode I, straight crack. However, many service failures occur from growth of cracks subjected to mixed mode loadings. A rectangular plate with arc crack or slanted central crack, under biaxial tensile loading, was treated analytically and also solved numerically. The Results from BEM applying different loading conditions, crack length (a/W), arc angle($\alpha$) are presented and discussed. The stress intensity factors are evaluated by the techniques of the J-integral. The decomposition method, used to decouple the stress intensity factors in mixed mode problems, is implemented by a considering a small circular contour path around each crack tip. The BIE method was successfully applied to a circular arc crackerd plate problem, also slanted centre cracked plate under mixed mode.

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Some general properties in the degenerate scale problem of antiplane elasticity or Laplace equation

  • Chen, Y.Z.
    • Structural Engineering and Mechanics
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    • v.64 no.6
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    • pp.695-701
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    • 2017
  • This paper investigates some general properties in the degenerate scale problem of antiplane elasticity or Laplace equation. For a given configuration, the degenerate scale problem is solved by using conformal mapping technique, or by using the null field BIE (boundary integral equation) numerically. After solving the problem, we can define and evaluate the degenerate area which is defined by the area enclosed by the contour in the degenerate configuration. It is found that the degenerate area is an important parameter in the problem. After using the conformal mapping, the degenerate area can be easily evaluated. The degenerate area for many configurations, from triangle, quadrilles and N-gon configuration are evaluated numerically. Most properties studied can only be found by numerical computation. The investigated properties provide a deeper understanding for the degenerate scale problem.

Investigation on Electric Field Optimization Algorithm of Spacer in Gas Insulated System (가스절연 원통형 관로 내의 스페이서 전계 최적화 알고리즘에 관한 연구)

  • Kim, Ung-Sik;Min, Seok-Won
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.51 no.3
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    • pp.115-120
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    • 2002
  • This Paper describes an algorithm for the design of axi-symmetrical spacer under specified field conditions. The electric field alas been calculated by combination method of Integral Equation Method(IEM) and Charge Simulation Method(CSM). The contour of spacer is represented with NURB(Non-Uniform Rational B-spline) curve of which effectiveness has been proved. This algorithm introduces a design process in the aspect of electrical field, when a spacer in airtight cylinder is designed. Also various field conditions for obtaining optical shapes have been proposed. Due to the algorithm, the entire process shows a stable convergence. Both tangential and total electrical field are taken into consideration as specified field criteria.

The Computation of Stress Intensity Factors in Fiberreinforced Composites using a Contour Integral Method (경로적분법에 의한 섬유강화복합재의 응력확대계수 계산)

  • 김진우;장흥석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.1
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    • pp.109-118
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    • 1985
  • 특이응력해석을 위한 일반화된 가역상반일 경계분식이 섬유강화복합재를 모형화한 직교 이방성 크랙평판의 수치해를 위하여 발전시켰다. 이 적분방정식은 평판경계에서의 탄성변위와 트랙션의 변수로 구성된 경계분식의 형태로 하중이 없다는 두 크랙면의 경계조건과 유한의 탄성변형에너지 의 개념에서 경계적 분식에 필요한 특성해를 규정하고 대응되는 보조해를 계산하였다. 직교이방 도를 달리한 중앙크랙평판의 응력확대계수를 계산하여 기존해와 비교하였다. 또한 대칭모우드 I 형의 양측크랙평판 및 복합모우드형 편측크랙 일단고정 평판의 응력확대계수가 임의의 섬유방향 각에 따라서 계산되었다.

Numerical Simulation of Dendritic Growth of the Multiple Seeds with Fluid Flow (유체 유동을 동반한 다핵 수치상결정의 미세구조성장에 대한 수치해석적 연구)

  • Yoon, Ik-Roh;Shin, Seung-Won
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.7
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    • pp.469-476
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    • 2009
  • Most material of engineering interest undergoes solidification process from liquid state. Identifying the underlying mechanism during solidification process is essential to determine the microstructure of material thus the physical properties of final product. In this paper, effect of fluid convection on the dendrite solidification morphology is studied using Level Contour Reconstruction Method. Sharp interface technique is used to implement correct boundary condition for moving solid interface. The results showed good agreement with exact boundary integral solution and compared well with other numerical techniques. Effects of Peclet number and undercooling on growth of dendrite tip of both single and multiple seeds have been also investigated.

Comparative Molecular Similarity Indices Analysis (CoMSIA) of 8-substituted-2-aryl-5-alkylaminoquinolines as Corticotropin-releasing factor-1 Receptor Antagonists

  • Nagarajan, Santhosh Kumar;Madhavan, Thirumurthy
    • Journal of Integrative Natural Science
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    • v.9 no.4
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    • pp.241-248
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    • 2016
  • Corticotropin-releasing factor receptors (CRFRs) activate the hypothalamic-pituitary-adrenal axis, which is an integral part of the fight or flight response to stress. Increase in CRH level is observed in Alzheimer's disease and major depression and hypoglycemia. Here, we report on the relevant physicochemical parameters required for the CRFR inhibitors. Comparative molecular similarity indices analysis (CoMSIA) was performed with the derivatives of 8-substituted-2-aryl-5-alkylaminoquinolinesas CRFR inhibitors. The best predictions were obtained for the best CoMSIA model with a $q^2$ of 0.576 with 6 components and $r^2$ of 0.977. The statistical parameters from the generated CoMSIA models indicated that the data are well fitted and have high predictive ability. CoMSIA contour maps could be useful in the designing of more potent and novel CRFR derivatives.

Determination of Stress Intensity Factors for Interface Cracks in Dissimilar Materials Using the RWCIM (상반일 등고선 적분법을 이용한 이종재 접합계면 균열의 응력강도계수 결정)

  • 조상봉;정휘원;김진광
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.5
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    • pp.180-185
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    • 2000
  • An interface V-notched crack problem can be formulated as a eigenvalue problem. there are the eigenvalues which give stress singularities at the V-notched crack tip. The RWCIM is a method of calculating the eigenvector coefficients associated with eigenvalues for a V-notched crack problem. Obtaining the stress intensity factors for an interface crack in dissimilar materials is examined by the RWCIM. The results of stress intensity factors for an interface crack are compared with those of the displacement extrapolation method by the BEM

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Correlation between the subjective comfort and elastic body pressure distribution on a bicycle saddel (자전거 안장의 연체압 분포와 주관적 안락도의 상관성에 관한 연구)

  • 최정윤;박경수
    • Proceedings of the ESK Conference
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    • 1993.04a
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    • pp.145-145
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    • 1993
  • In bicycle design, saddle is the major part which effects the subjective comfort of rider. This study examines the correlation between the subjective comfort and elastic body pressure. The elastic body pressure measuring instrument for free-form surface such as saddle is developed by force sensor register, A/D converter and computer. The subjective comfort is measured quantit- atively by 11-point scale method and the elastic body pressure distribution is obtained through 3 different saddles at 4 postures. The pressure distribution is presented by computerized equi- pressure contour. While mean pressure, standard deviation of pressure, maximum pressure are inversely proportional to subjective comfort, the modified saddle-bearing weight which is the surface integral of pressure is directly proportional. Consequently, standard deviation of pressure is most important characteristic which affects variation of subjective comfort.

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An Analysis of Eigenvector Coefficient for V-notched Cracks in Pseudo-isotropic and Anisotropic Dissimilar Materials (유사등방성과 이방성 이종재 V-노치 균열의 고유벡터계수 해석)

  • Kim, Jin-Gwang;Jo, Sang-Bong
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.12
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    • pp.88-94
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    • 2001
  • The V-notched crack problem in dissimilar materials can be formulated as an eigenvalue problem. The RWCIM(Reciprocal Work Contour Integral Method) is applied to the determination of the eigenvector coefficients associated with eigenvalues for V-notched cracks in pseudo-isotropic and anisotropic dissimilar materials. The RWCIM algorithm is programed by the commercial numerical program, MATHEMATICA. The numerical results obtained are shown that the RWCIM is a useful method for determining the eigenvector coefficients of V-notched cracks in pseudo-isotropic and anisotropic dissimilar materials.

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An Analysis of Eigenvalues and Eigenvectors for V-notched Cracks in Pseudo-isotropic Dissimilar Materials (유사등방성 이종재료 내의 V-노치 균열에 대한 고유치와 고유벡터 해석)

  • Kim, Jin-Gwang;Jo, Sang-Bong
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.11
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    • pp.129-139
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    • 2000
  • The problem of eigenvalue and eigenvector is obtained from a V-notched crack in pseudo-isotropic dissimilar materials by the traction free boundary and the perfect bonded interface conditions. The complex stress function is assumed as the two-term William's type. The eigenvalue is solved by a commercial numerical program, MATHEMATICA to discuss stress singularities for V-notched cracks in pseudo-isotropic dissimilar materials. The RWCIM(Reciprocal Work Contour Integral Method) is applied to the determination to eigenvector coefficients associated with eigenvalues. The RWCIM algorithm is also coded by the MATHEMATICA.

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