• 제목/요약/키워드: Tensor permeability

검색결과 19건 처리시간 0.026초

평직에 대한 투과율 계수의 균질화 (Asymptotic Expansion Homogenization of Permeability Tensor for Plain Woven Fabrics)

  • 송영석;윤재륜
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 춘계학술발표대회 논문집
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    • pp.134-136
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    • 2005
  • Homogenization method is adopted to predict the permeability tenor for glass fiber plain woven fabrics. Calculating the permeability tensor numerically is an encouraging task because the permeability tensor is a key parameter in resin transfer molding (RTM). Based on multi-scale approach of the homogenization method, the permeability for the micro-unit cell within fiber tow is computed and compared with that obtained from flow analysis for the same micro-unit cell. It is found that they are in good agreement. In order to calculate the permeability tensor of macro-unit cell for the plain woven fabrics, the Stokes and Brinkman equations which describe inter-tow and intra-tow flow respectively are employed as governing equations. The effective permeabilities homogenized by considering intra-tow flow are compared with those obtained experimentally. Control volume finite element method (CVFEM) is used as a numerical method. It is shown that the asymptotic expansion homogenization method is an attractive method to predict the effective permeability for heterogeneous media.

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브레이드 프리폼의 투과율 계수 예측 (Prediction of Permeability for Braided Preform)

  • Youngseok Song;Youn, Jae-Roun
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2003년도 춘계학술발표대회 논문집
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    • pp.184-187
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    • 2003
  • Complete prediction of second order permeability tensor for three dimensional circular braided preform is critical to understand the resin transfer molding process of composites. The permeability can be predicted by considering resin flow through the multi-axial fiber structure. In this study, permeability tensor for a 3-D circular braided preform is calculated by solving a boundary problem of a periodic unit cell. Flow field through the unit cell is obtained by using a 3-D finite volume method (FVM) and Darcy's law is utilized to obtain permeability tensor. Flow analysis for two cases that a fiber tow is regarded as impermeable solid and permeable porous medium is carried out respectively. It is found that the flow within the intra-tow region of the braided preform is negligible if inter-tow porosity is relatively high but the flow through the tow must be considered when the porosity is low. To avoid checkerboard pressure field and improve the efficiency of numerical computation, a new interpolation function for velocity variation is proposed on the basis of analytic solutions. Permeability of the braided preform is measured through a radial flow experiment and compared with the permeability predicted numerically.

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유한 요소법과 이차원 텐서를 이용한 회전자계의 특성 해석 (Analysis of the Rotational Magnetic Field using the FEM and the 2-Dimensional Permeability Tensor)

  • 이창환;김홍규;정현교;홍선기
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1996년도 하계학술대회 논문집 A
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    • pp.169-171
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    • 1996
  • Recently, the finite element analysis(FEM) using two dimensional magnetic permeability tensor was introduced to calculate the magnetic field considering the rotational hysteresis. We obtain the tensor matrix from the measured data using two-dimensional magnetic measuring apparatus. We calculate the induced magnetic flux density and the rotational hysteresis loss under the model with the same condition with the measuring apparatus. Therefore we show that FEM with tensor can be used to calculate the magnetic flux density and the rotational hysteresis loss in the arbitrary rotational magnetic field.

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시추공 텔리뷰어 및 BIPS의 영상자료 해석을 통한 파쇄매질의 투수율텐서 계산 프로그램 개발 및 현장 적용성 평가 (Program Development to Evaluate Permeability Tensor of Fractured Media Using Borehole Televiewer and BIPS Images and an Assessment of Feasibility of the Program on Field Sites)

  • 구민호;이동우;원경식
    • 지질공학
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    • 제9권3호
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    • pp.187-206
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    • 1999
  • 시추공 텔리뷰어 및 BIPS의 공내 검층자료를 이용하여 파쇄매질이 나타내는 투수율텐서를 수치적으로 계산하는 프로그램을 개발하였다. 본 프로그램은 검층자료의 분석을 통해 제공되는 불연속면의 방향과 두께등의 기하학적인 정보를 입력자료로 사용하며, EPM 모델에 근거한 관계식을 적용하여 투수율텐서를 구성하는 9개 성분의 상대적인 값을 계산한다. 거제시 일운면에 위치하는 연구지역 시추공을 대상으로 수리간섭 시험을 실시하여 암반의 이방성을 추정하였으며 BIPS 검층자료로부터 프로그램에 의하여 산정된 이론값과 비교, 분석하여 프로그램의 현장 적용성을 평가하였다. 수리간섭시험을 통하여 추정한 연구지역 암반의 수평적인 이방성비와 주축방향은 2.8 및 $N77^{\circ}CE$인 반면, 프로그램을 적용하여 산정한 값은 3.0 및 $N63^{\circ}CE$로 나타냈다. 두 결과가 불일치한 이유로는 수리간섭시험 해석결과의 신뢰성, EPM모델 및 3승법칙의 현장 적용성, 프로그램에서 가정한 단열의 크기-두께 관계식의 단순화 등의 문제점을 들 수 있다. 개발된 프로그램은 투수율텐서를 계산하는 초기모델로서 단열면의 거칠기, 충전물질의 충전정도 및 수리특성을 반영하는 수리인자의 적용을 통한 개선이 요구되며, 암반의 투수성이 양호하며 시추공 간의 거리가 가까운 연구지역에서 시추공간 수압시험을 실시할 때 3차원의 현장적용성 평가가 가능할 것으로 판단된다.

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유한요소법과 투자율 텐서를 이용한 고조파 회전자계 계산 (Harmonic Rotational Magnetic Field Calculation with the Finite Element Method and the Permeability Tensor)

  • 이창환;김홍규;정현교;손대락
    • 한국자기학회지
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    • 제7권3호
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    • pp.159-165
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    • 1997
  • 최근에 자계시스템을 해석함에 있어서 서로 다른 위상을 갖는 자속밀도와 자계의 세기간의 벡터적인 관계를 고려하는 것이중요시 되고 있으며 그 방법에 관한 연구도 많이 이루어지고 있다. 본 연구에서는 유한요소법과 이차원 투자율 텐서를 이용하여 자속밀도와 자계의 세기를 계산하였다. 특히 이 방법으로 회전이력현상을 정확하게 고려하여 회전자속밀도와 회전 자계의 세기를 계산할 수 있음을 보였으며 또한 기본파 성분만을 가진 자속 뿐만 아니라 고조파를 포함하고 있는 자속의 계산을 위한 방법을 제시하고 게산결과와 실험결과의 비교를 통해서 제안된 방법의 타당성을 제시한다.

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검사체적 유한요소법을 이용한 다축 브레이드 프리폼의 투과율 계수 예측 (Prediction of Permeability for Multi-axial Braided Preform by Using CVFEM)

  • Y. S. Song;K. Chung;T. J. Kang;J. R. Youn
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2002년도 추계학술발표대회 논문집
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    • pp.68-70
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    • 2002
  • Prediction of 3-D permeability tensor for multi-axial preform is critical to model and design the manufacturing process of composites by considering resin flow through the multi-axial fiber structure. In this study, the in-plane and transverse permeabilities for braided preform are predicted numerically. The flow analyses are calculated by using 3-D CVFEM(control volume finite element method) for macro-unit cells. To avoid checker-board pressure field and improve the efficiency of numerical computation, a new interpolation function for velocity is proposed on the basis of analytic solutions. Permeability of a braided preform is measured through unidirectional flow experiment and compared with the permeability calculated numerically. Unlike other studies, the current study is based on more realistic unit cell and prediction of permeability is improved.

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수지 이송 성형에서 투과율 계수의 수치적 계산 (Numerical Calculation of Permeability in Resin Transfer Molding)

  • Song, Young-Seok;Youn, Jae-Roun
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2003년도 추계학술발표대회 논문집
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    • pp.83-86
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    • 2003
  • Complete prediction of second order permeability tensor for three dimensional preform such as plain woven fabric and braided preform is critical to understand the resin transfer molding process of composites. The permeability can be obtained by various methods such as analytic, numerical, and experimental methods. For several decades, the permeability has studied numerically to avoid practical difficulty of many experiments. However, the predicted permeabilities are a bit wrong compared with experimentally measured data. In this study, numerical calculation of permeability was conducted for two kinds of preforms i.e., plain woven fabric and circular braided preform. In order to consider intra-tow flow in the unit cell of preform the proposed flow coupled model was used for plain woven fabric and the Brinkman equation was solved in the case of the braided preform.

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Transverse permeability measurement of a circular braided preform in liquid composite molding

  • Chae, Hee-Sook;Song, Young-Seok;Youn, Jae-Ryoun
    • Korea-Australia Rheology Journal
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    • 제19권1호
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    • pp.17-25
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    • 2007
  • In liquid composite molding (LCM), composites are produced by impregnation of a dry preform with liquid resin. The resin flow through the preform is usually described by Darcy's law and the permeability tensor must be obtained for filling analysis. While the resin flow in the thickness direction can be neglected for thin parts, the resin flow in the transverse direction is important for thicker parts. However, the transverse permeability of the preform has not been investigated frequently. In this study, the transverse permeability was measured experimentally for five different fiber preforms. In order to verify the experimental results, the measured transverse permeability was compared with numerical results. Five different fiber mats were used in this study: glass fiber woven fabric, aramid fiber woven fabric, glass fiber random mat, glass fiber braided preform, and glass/aramid hybrid braided preform. The anisotropic braided preforms were manufactured by using a three dimensional braiding machine. The pressure was measured at the inlet and outlet positions with pressure transducers.

FINITE ELEMENT ANALYSIS OF ROTATIONAL HYSTERESIS LOSS USING TWO DIMENSIONAL PERMEABILITY TENSOR

  • Lee, Hak-Yong;Jung, Hyun-Kyo;Hahn, Song-Yop;Park, Gwan-Soo
    • 한국자기학회지
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    • 제5권5호
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    • pp.837-840
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    • 1995
  • Finite element analysis using two dimensional magnetic permeabillity tensor that can represents phase lag between magnetic field intensity and flux density under rotational flux is examined. Considered problem is confined to two dimensional magnetostatic case. And we applied proposed method to calculate the core loss of the test model and compare the result with that of experiment.

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