• 제목/요약/키워드: Three-dimensional axisymmetric

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분말단조 공정의 3차원 유한요소해석 (Three Dimensional Finite Element Analysis for Powder Forging Process)

  • 김형섭
    • 한국분말재료학회지
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    • 제3권2호
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    • pp.104-111
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    • 1996
  • In order to obtain homogeneous and high quality products in powder compaction forging process, it is very important to control stress, strain, density and density distributions. Therefore, it is necessary to understand quantitatively the elasto-plastic deformation and densification behaviors of porous metals and metal powders. In this study, elasto-plastic finite element method using Lee-Kim's pressure dependent porous material yield function has been used for the analysis of three dimensional indenting process. The analysis predicts deformed geometry, stress, strain and density distribution and load. The calculated load is in good agreement with experimental one. The calculated results do not show axisymmetric distributions because of the edge effect. The core part which is in contact with the indentor and the outer diagonal edge part are in compressive stress states and the middle part is in tensile stress state. As a results, it can be concluded that three dimensional analysis is more realistic than axisymmetric assumption approach.

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단이 있는 환봉에서 응력집중 부위의 형상 변화에 따른 민감도 해석 (Senstivity analysis according to the geometric change of the stress-concentrated part of round bar with step)

  • 황석환;김진환;정진한
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.854-859
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    • 2000
  • When the round bar with step is twisted and bent, stress concentration is occurred in the irregular geometric parts. Two dimensional axisymmetric stress analysis is carried out according to the geometric change of the stress-concentrated part of round bar with step. Three dimensional cases are also investigated.

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GLOBAL AXISYMMETRIC SOLUTIONS TO THE 3D NAVIER-STOKES-POISSON-NERNST-PLANCK SYSTEM IN THE EXTERIOR OF A CYLINDER

  • Zhao, Jihong
    • 대한수학회보
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    • 제58권3호
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    • pp.729-744
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    • 2021
  • In this paper we prove global existence and uniqueness of axisymmetric strong solutions for the three dimensional electro-hydrodynamic model based on the coupled Navier-Stokes-Poisson-Nernst-Planck system in the exterior of a cylinder. The key ingredient is that we use the axisymmetry of functions to derive the Lp interpolation inequalities, which allows us to establish all kinds of a priori estimates for the velocity field and charged particles via several cancellation laws.

수정 Eshelby등가 개재물 방법을 이용한 단섬유 금속 복합재료의 열적잔류응력의 해석에 관한 연구

  • 손봉진;이준현;김문생
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1993년도 추계학술대회 논문집
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    • pp.660-665
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    • 1993
  • An elastic model is developed to predict the average thermal residual stresses in the matrix and fiber of a misoriented short fiber composite. The thermal residual stresses are induced by the mismatch in the coefficient of the thermal expansion of the matrix and fiber when the composite is subjected to a uniform temperature change. The model considers two special cases of fiber misorientation ; two-dimensional in-plane and three-dimensional axisymmetric. The analytical formulation of the model is based on Eshelby's equivalent inclusion method and is nuque in that it is able to account for interactions among fibers. The model is more general than past models and it is able to treat prior analyses of the simpler composite systems as extram cases. The present model is to investigate the effects of fiber volume fraction, distribution type, distribution cut-off angle, and aspect ratio on thermal residual stress for both in-plane and axisymmetric fiber misorientation. Fiber volum fraction, aspect ratio, and disturbution cut-off angle are shown to have more significant effects on the magnitude of the thermal residual stress than fiber distrubution type for both in-plane and axisymmetric misorientation.

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비축대칭 압출 공정의 유한 요소 해석 (Finite Element Analysis of the Non-axisymmetric Extrusion Process)

  • 신현우
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1992년도 춘계학술대회 논문집 92
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    • pp.27-46
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    • 1992
  • In this study a new simplified three-dimensional numerical method and the associated computer program have been developed to simulate the non-axisymmetric extrusion processes. The two-dimensional rigid-plastic finite element method under the generalized plane-strain condition, is combined with the slab method. To define the die geometry for non-axisymmetric extrusion, area mapping technique was used. Streamlined die surface was used to miniminze the total extrusion pressure. Extrusion of square, hexagonal and "T" section from round billet have been simulated and experimented with a model material. The computed results were in good agreement with the experiments in cross-sectional grid distortion. Computational results will be valuable for designing tool geometries and corresponding processes.

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일차 및 축대칭유동에서 밀도변화가 난류에 미치는 영향 (Effects of Dilatation and Vortex Stretching on Turbulence in One-Dimensional and Axisymmetric Flows)

  • 김진화;유정열;강신형
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2002년도 학술대회지
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    • pp.831-834
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    • 2002
  • An analytic approach is attempted to predict the amplification of turbulence in compressible flows experiencing one-dimensional and axisymmetric bulk dilatation. The variations of vortex radius and vorticity are calculated, and then the amplification of turbulence is obtained from them by tracking three representative vortices. For a one-dimensionally compressed flow, the present analysis slightly underestimates the amplification of velocity fluctuations and turbulent kinetic energy, relative to that of rapid distortion theory in the solenoidal limit. For an axisymmetrically distorted flow, the amplification of velocity fluctuations and turbulent kinetic energy depend not only on the density ratio but also on the ratio of streamwise mean velocities, which represents streamwise vortex contraction/stretching. In all flows considered, the amplification of turbulence is dictated by the mean density ratio. In the axisymmetric flow, streamwise vortex stretching/contraction, however, alters the amplification slightly.

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Analysis of axisymmetric fractional vibration of an isotropic thin disc in finite deformation

  • Fadodun, Odunayo O.
    • Computers and Concrete
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    • 제23권5호
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    • pp.303-309
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    • 2019
  • This study investigates axisymmetric fractional vibration of an isotropic hyperelastic semi-linear thin disc with a view to examine effects of finite deformation associated with the material of the disc and effects of fractional vibration associated with the motion of the disc. The generalized three-dimensional equation of motion is reduced to an equivalent time fraction one-dimensional vibration equation. Using the method of variable separable, the resulting equation is further decomposed into second-order ordinary differential equation in spatial variable and fractional differential equation in temporal variable. The obtained solution of the fractional vibration problem under consideration is described by product of one-parameter Mittag-Leffler and Bessel functions in temporal and spatial variables respectively. The obtained solution reduces to the solution of the free vibration problem in literature. Finally, and amongst other things, the Cauchy's stress distribution in thin disc under finite deformation exhibits nonlinearity with respect to the displacement fields whereas in infinitesimal deformation hypothesis, these stresses exhibit linear relation with the displacement field.

사각형제트와 2차원제트의 거동해석의 비교 평가 (Comparative Evaluation of Behavior Analysis of Rectangular Jet and Two-dimensional Jet)

  • 권석재;조홍연;서일원
    • 대한토목학회논문집
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    • 제26권6B호
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    • pp.641-649
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    • 2006
  • 본 연구에서는 PIV를 이용하여 측정한 평균유속장의 실험결과에 근거하여 10의 종횡비를 갖는 3차원 순수사각형제트의 거동을 고찰하였다. 장축상의 횡분포에서 안장형 분포가 관찰되었다. 점원개념으로부터 유도된 이론적인 중심선유속의 식은 측정된 중심선유속과 잘 일치하였으며 원류핵영역, 2차원영역, 그리고 축대칭영역의 분할을 제시하였다. 이러한 이론적인 중심선유속의 감소에 의해 분할된 2차원영역의 범위가 천이영역에 비해 상대적으로 작게 관찰되었다. 작은 종횡비를 갖는 사각형제트의 거동이나 실제 해양의 깊은 수심에서 다공확산관을 통해 방류되는 하 폐수의 거동을 예측하기 위한 2차원모형의 적용은 2차원영역을 지난 천이영역과 축대칭영역에서 중대한 오차를 야기할 수 있다. 2차원영역에서 가우스 상수가 보존되는 경향을 보였으며 2차원영역의 끝 지점에서 확장률이 감소함을 알 수 있었다. 중심선유속으로 무차원화 된 중심선 난류 강도는 초기에 급격히 증가하였고 높은 레이놀즈수에서 상대적으로 높은 난류강도를 보여주었다.

스프링 힘에 의한 배합부가 단조 공정의 3차원 유한요소해석 (Three-dimensional finite element analysis of forging processes with back pressure exerted by spring force)

  • 장성민;김민철;이민철;전병윤;전만수
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2009년도 추계학술대회 논문집
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    • pp.470-473
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    • 2009
  • In this paper, back pressure forging processes of which back pressures are exerted by mechanical forces including spring reaction are simulated by three-dimensional finite element method. The basic three-dimensional approach extended from two-dimensional approach is accounted for. An axisymmetric backward and forward extrusion process having a back pressing die, which is exposed to oscillation of forming load due to variation of reduction ratios with stroke and its related frequent variation of major deforming region, is simulated by both two and three dimensional approaches to justify the presented approach by their comparison. A three-dimensional forging process having a back pressing die attached to the punch by a mechanical spring is simulated and the results are investigated to reveal accuracy of the presented approach.

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스프링 힘에 의한 배압부가 단조 공정의 3차원 유한요소해석 (Three-Dimensional Finite Element Analysis of Forging Processes with Back Pressure Exerted by Spring Force)

  • 장성민;김민철;이민철;전병윤;전만수
    • 소성∙가공
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    • 제19권5호
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    • pp.273-276
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    • 2010
  • In this paper, back pressure forging processes of which back pressures are exerted by mechanical forces including spring reaction are simulated by three-dimensional finite element method. The basic three-dimensional approach extended from two-dimensional approach is accounted for. An axisymmetric backward and forward extrusion process having a back pressing die, which is exposed to oscillation of forming load due to variation of reduction ratios with stroke and its related frequent variation of major deforming region, is simulated by both two and three dimensional approaches to justify the presented approach by their comparison. A three-dimensional forging process having a back pressing die attached to the punch by a mechanical spring is simulated and the results are investigated to reveal accuracy of the presented approach.