• 제목/요약/키워드: Singularity Distribution

검색결과 59건 처리시간 0.023초

집중특이점분포법을 이용한 선형자유표면문제의 해석 (Solution of the Liner Free Surface Problem by a Discrete Singularity Method)

  • 강창구;양승일;이창섭
    • 한국기계연구소 소보
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    • 제4권1호
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    • pp.29-42
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    • 1981
  • In this paper, it is demonstrated that, with the distribution of lowestorder concentrated (discrete) singularities of delta function nature, the solution to the linear free surface problem can be obtaianed with a remarkable degree of accuracy. The linearized bounday valve problem is formulated subject to boundary conditions for the determination of strengths of singularities; the simple sources above (not on) the free surface and the vortices on the body surface. Three sample calculations were performed; the flow about a submerged vortex of known strength, the flow past a submerged circular cylinder, and the flow around a hydrofoil section. The convergence of the numerical procedure is achieved with a relatively small number of elements, The final results are compared with those of the publi¬shed works, and are considered very satisfactory.

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유한요소 교호법을 이용한 임의 형상의 삼차원 균열의 피로균열 성장 해석 (Fatigue Crack Growth Simulation of Arbitrarily Shaped Three Dimensional Cracks Using Finite Element Alternating Method)

  • 박재학;김태순
    • 한국안전학회지
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    • 제21권1호
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    • pp.15-20
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    • 2006
  • The finite element alternating method is a convenient and efficient method to analyze three-dimensional cracks embedded in an infinite or a finite body because the method has the property that the uncracked body and cracks can be modeled independently. In this paper the method was applied for fatigue crack growth simulation. A surface crack in a cylinder was considered as an initial crack and the crack configurations and stress intensity factors during the crack growth were obtained. In this paper the finite element alternating method proposed by Nikishkov, Park and Atluri was used after modification. In the method, as the required solution for a crack in an infinite body, the symmetric Galerkin boundary element method formulated by Li and Mear was used. And a crack was modeled as distribution of displacement discontinuities, and the governing equation was formulated as singularity-reduced integral equations.

선체주위(船體周圍)의 유선계산법(流線計算法)에 관(關)한 연구(硏究) (A Study on the Stream Lines Calculation around a Ship's Hull)

  • 조규종;홍성완;박찬원
    • 대한조선학회지
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    • 제14권2호
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    • pp.1-9
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    • 1977
  • Streamlines around a ship's hull can be calculated by using streamline tracing method replacing the ship section with distribution of singularity. The influence of frame lines on the stream surrounding a hull surface, however, can not be found. Jinnaka studied on streamlines for Lewis form by applying the slender body theory. The influence of frame lines on stream surrounding a hull surface is well found in Jinnaka's method. In this paper streamline calculation method for chine type has been developed by using conformal transformation and applying slender body theory as Jinnaka did. Three kinds of model-one of series 62 for chine type, V.L.C.C. and high speed craft built in Korea for Lewis form-were used for streamline calculation;

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Exact and complete fundamental solutions for penny-shaped crack in an infinite transversely isotropic thermoporoelastic medium: mode I problem

  • LI, Xiang-Yu;Wu, J.;Chen, W.Q.;Wang, Hui-Ying;Zhou, Z.Q.
    • Structural Engineering and Mechanics
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    • 제42권3호
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    • pp.313-334
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    • 2012
  • This paper examines the problem of a penny-shaped crack in a thermoporoelastic body. On the basis of the recently developed general solutions for thermoporoelasticity, appropriate potentials are suggested and the governing equations are solved in view of the similarity to those for pure elasticity. Exact and closed form fundamental solutions are expressed in terms of elementary functions. The singularity behavior is then discussed. The present solutions are compared with those in literature and an excellent agreement is achieved. Numerical calculations are performed to show the influence of the material parameters upon the distribution of the thermoporoelastic field. Due to its ideal property, the present solution is a natural benchmark to various numerical codes and simplified analyses.

입계기공의 확산성장 모델을 이용한 고온 기기의 크립균열전파해석(3)

  • 전재영
    • 대한기계학회논문집A
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    • 제20권4호
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    • pp.1194-1201
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    • 1996
  • For the case of creep-fatigue interaction, the damage zone developed in front of the growing crack-tip during creep regime is important because it can affect the damage mechanism to be occured by the following fatigue load. These are studied in theis paper through proper consideration of the cavitiy-size dependent sintering stress which is approximated by polynomials. It is shown that the inclination of reversed damage zone size with respect to the applied load parameter can be explained by considering realistic sintering stress distribution. However, the resultant stress field has $r^{1/2+\theta}$ singularity, regardliss of the profile of variable sintering stress, which is the same to that case solved for constant sintering stress.

유한수심(有限水深)에서의 선형계획(線型計劃) (A Study on the Characteristics of wave Resistance and Hull Form obtained at Finte Water Depth)

  • 김효철;서정천
    • 대한조선학회지
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    • 제17권1호
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    • pp.19-24
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    • 1980
  • From the singularity distribution which obtained by minimum wave resistance condition, optimum hull form is obtained by stream line trancing method as Inui and Pien did. Thus obtained hull form has a extruded bottom along a keel line. Therefore the hull form must be modified to have flat bottom. This modification process is conducted by putting a fictitious bottom. It is found out that the wave resistance does not significantly alter at design speed even though the hull form has remarkably changed at the bottom. Therefore flattening the bottom by the effect of depth may be more rational for practical hull form design than ordinary manual hull-form modification.

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규칙파중(規則波中)에서의 쌍동선(雙胴船)의 수직운동성능계산(垂直運動性能計算) (The Vertical Motion Calculation of a Catamaran in Regular Waves)

  • 윤길수;최항순;이기표
    • 대한조선학회지
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    • 제19권4호
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    • pp.47-52
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    • 1982
  • The present paper gives numerical results of 2-D hydrodynamic forces on twin cylinders oscillating on a free surface in a deep water. The singularity distribution method is applied to determine a stream function. Based on the 2-D results the vertical motion responses of a catamaran model(ASR 5061) moving in regular head seas are estimated by using Ordinary Strip Method(O.S.M.). Numerical results show in general good agreements with Jones' theoretical and experimental results except those the resonance frequency.

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집중특이점분포법(集中特異點分布法)을 이용(利用)한 선형자유표면문제(線型自由表面問題)의 해석(解析) (Solution of the Linear Free Surface Problem by a Discrete Singularity Method)

  • 강창구;양승일;이창섭
    • 대한조선학회지
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    • 제18권3호
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    • pp.1-9
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    • 1981
  • In this paper, it is demonstrated that, with the distribution of lowest order concentrated(discrete) singularities of delta function nature, the solution to the linear free surface problem can be obtained with a remarkable degree of accuracy. The linear boundary value problem is formulated subject to boundary conditions for the determination of strengths of singularities; the simple sources above(not on) the free surface and the vortices on the body surface. Three sample calculation were performed` the flow about a submerged vortex of known strength, the flow past a submerged circular cylinder, and the flow around a hydrofoil section. The convergence of the numerical procedure is achieved with a relatively small number of elements. The final results are compared with those of the published works, and are considered very satisfactory.

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대칭 Galerkin 경계요소법을 이용한 유한체 내에 존재하는 임의의 삼차원 균열의 해석 (Analysis of Arbitrary Three Dimensional Cracks in the Finite Body Using the Symmetric Galerkin Boundary Element Method)

  • 박재학;김태순
    • 한국안전학회지
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    • 제19권1호
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    • pp.38-43
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    • 2004
  • Many analysis methods, including finite element method, have been suggested and used for assessing the integrity of cracked structures. In the paper, in order to analyze arbitrary three dimensional cracks, the finite element alternating method is extended. The crack is modeled by the symmetric Galerkin boundary element method as a distribution of displacement discontinuities, which is formulated as singularity-reduced integral equations. And the finite element method is used to calculate the stress values for the uncracked body only. Applied the proposed method to several example problems for planner cracks in finite bodies, the accuracy and efficiency of the method were demonstrated.

입계기공의 확산성장 모델을 이용한 고온기기의 크립균열전파해석(1)-응력장 및 균열전파속도에 미치는 입계기공의 영향- (Analysis of Creep Crack Growth at High-Temperature Components by Diffusive Growth Model of Grain Boundary Cavities (I)-Effect of Grain Boundary Cavitation on Stress Field and Crack Growth Rate-)

  • 전재영
    • 대한기계학회논문집A
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    • 제20권4호
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    • pp.1177-1185
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    • 1996
  • The crack growth under creep condition is one of the major damage mechanisms which determines remaining life of the component operating at high temperatures. In this paper, the creep crack growth by grain boundary cavitation is studied, which is frequently observed failure mechanism for creep brittle materials. As a result of diffusive growth of creep cavities, it is shown that the crack-tip stress field is modified from the original stress distribution by the amount of singularity attenuation parameter which is function of crack growth rate and material properties. Also, the stress relaxation at crack-tip results in the extension of cavitating area by the load dump effect to meet the macroscopic force equilibrium conditdion.