• 제목/요약/키워드: Eshelby's equivalent inclusion Method

검색결과 16건 처리시간 0.019초

입자 강화 복합재의 등가 열전도 계수에 대한 연구 (A Study on Effective Thermal Conductivity of Particulate Reinforced Composite)

  • 이재곤
    • 동력기계공학회지
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    • 제10권4호
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    • pp.133-138
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    • 2006
  • Effective thermal conductivity of particulate reinforced composite has been predicted by Eshelby's equivalent inclusion method modified with Mori-Tanaka's mean field theory. The predicted results are compared with the experimental results from the literature. The model composite is polymer matrix filled with ceramic particles such as silica, alumina, and aluminum nitride. The preliminary examination by Eshelby type model shows that the predicted results are in good agreements with the experimental results for the composite with perfect spherical filler. As the shape of filler deviates from the perfect sphere, the predicted error increases. By using the aspect ratio of the filler deduced from the fixed filler volume fraction of 30%, the predicted results coincide well with the experimental results for filler volume fraction of 40% or less. Beyond this fraction, the predicted error increases rapidly. It can be finally concluded from the study that Eshelby type model can be applied to predict the thermal conductivity of the particulate composite with filler volume fraction less than 40%.

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분산형 복합재료의 강화재 손상 증분형 이론 (Incremental Theory of Reinforcement Damage in Discontinuously-Reinforced Composite)

  • 김홍건
    • 한국마린엔지니어링학회:학술대회논문집
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    • 한국마린엔지니어링학회 2000년도 춘계학술대회 논문집(Proceeding of the KOSME 2000 Spring Annual Meeting)
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    • pp.122-126
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    • 2000
  • In particle or short-fiber reinforced composites cracking of the reinforcements is a significant damage mode because the broken reinformcements lose load carrying capacity . The average stress in the inhomogeneity represents its load carrying capacity and the difference between the average stresses of the intact and broken inhomogeneities indicates the loss of load carrying capacity due to cracking damage. The composite in damage process contains intact and broken reinforcements in a matrix, An incremental constitutive relation of particle or short-fiber reinforced composites including the progressive cracking damage of the reinforcements have been developed based on the Eshelby's equivalent inclusion method and Mori-Tanaka's mean field concept. influence of the cracking damage on the Eshelby's equivalent inclusion method and Mori-Tanaka's mean field concept. Influence of the cracking damage on the stress-strain response of the composites is demonstrated.

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기공을 갖는 형상기억합금의 응력 및 변형률 관계에 대한 이론적 고찰 (Theoretical Investigation on the Stress-Strain Relationship for the Porous Shape Memory Alloy)

  • 이재곤;염영진;최성배
    • Composites Research
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    • 제17권6호
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    • pp.8-13
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    • 2004
  • Eshelby의 등가개재물범과 Mori-Tanaka의 평균장 이론을 이용하여 다공성 형상기억합금에 대한 새로운 3차원 응력-변형률 모델을 제안하였다. 12%의 기공도를 갖는 Ni-Ti 형상기억합금에 대한 압축실험으로부터 구한 응력-변형률 선도와 본 연구에서 제안한 모델링에 의한 응력-변형률 관계를 비교한 결과 잘 일치함을 알 수 있었다. 기존의 다른 연구에서는 대부분 상변태 구간이 선형적으로 예측되었지만 본 연구에서는 비선형으로 예측되어 실험결과를 보다 잘 모사할 수 있었다.

장단비 분포를 갖는 단섬유 복합재의 영계수 예측에 대한 연구 (A Study on Prediction of Young's Modulus of Composite with Aspect Ratio Distribution of Short Fiber)

  • 이재곤
    • 동력기계공학회지
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    • 제10권4호
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    • pp.99-104
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    • 2006
  • Young's modulus of composite has been predicted by Eshelby's equivalent inclusion method modified with Mori-Tanaka's mean field theory, where short fibers of aspect ratio distribution are assumed to be aligned. Young's modulus of the composite is predicted with the smallest class interval for simulating the actual distribution of fiber aspect ratio, which is compared with that computed using different class intervals. Young's modulus of the composite predicted with mean aspect ratio or the largest class interval is overestimated by the maximum 10%. As the class interval of short fibers for predicting Young's modulus decreases, the predicted results show good agreements with those obtained using the actual distribution of fiber aspect ratio. It can be finally concluded from the study that if and only if the class interval of short fiber normalized by the maximum aspect ratio is smaller than 0.1, the predicted results are consistent with those obtained using the actual distribution of aspect ratio.

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형상기억효과에 따른 3차원 잔류응력의 해석 (Analysis of 3-D residual Stresses Due to Shape Memory Effects)

  • 김홍건
    • 한국생산제조학회지
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    • 제8권5호
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    • pp.42-46
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    • 1999
  • The strengthening of a metal matrix composite(MMC) by the shape memory effect(SME) of dispersed TiNi particles was theoretically studied. An analytical model was constructed for the prediction of the average residual stress(<$\delta$>m) on the base of the Eshelby's equivalent inclusion method. The analysis was performed on the TiNi particle/Al metal matrix composites with varying volume fractions and prestrains of the particle. The residual stress caused by the shape memory of predeformed fillers has been predicted to contribute significantly to the strengthening of this composite.

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형상기억합금 강화 복합재의 사전 변형률과 형상기억 효과에 대한 이론적 고찰 (An Analytical Study on Prestrain and Shape Memory Effect of Composite Reinforced with Shape Memory Alloy)

  • 이재곤;김진곤;김기대
    • Composites Research
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    • 제17권5호
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    • pp.54-60
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    • 2004
  • 복합재의 사전변형률과 형상기억합금의 형상기억효과를 유발하는 형상기억합금의 상변화량과의 관계를 예측하기 위하여 Eshelby의 등가개재물법과 Mori-Tanaka의 평균장이론을 이용한 새로운 3차원 모델을 제안하였다. 복합재 모델은 가공경화 현상을 갖는 알루미늄을 모재로, 단섬유 TiNi 형상기억합금을 강화재로 사용하였다. 모델 해석에 의하면 사전 변형률이 지극히 작은 영역에서는 사전변형률이 모두 강화재의 형상기억 효과를 유발하고, 이 보다 큰 영역에서 사전 변형률은 강화재의 형상기억 효과와 모재의 소성변형에 의한 것으로 나타났다. 이러한 복합재의 강화기구는 모재의 가공경화 현상과 형상기억 효과에 의한 항복응력 증가를 분리하여 제시되어야 한다.

강화재의 크기 및 배치에 따른 복합재의 등가 물성치 예측에 대한 연구 (A Study on Prediction of Effective Material Properties of Composites with Fillers of Different Sizes and Arrangements)

  • 이재곤;김진곤
    • Composites Research
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    • 제18권5호
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    • pp.21-26
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    • 2005
  • 본 연구에서는 복합재의 등가 물성치를 예측하는 방법중 하나인 Mori-Tanaka의 평균장이론이 결합된 Eshelby 이론의 적용한계에 대해 유한요소해석을 통하여 강화재의 크기와 배치 측면에서 고찰하였다. 모델 복합재로 일정 체적비의 강화재를 포함하는 2차원 평판 복합재를 사용하였으며, 강화재의 크기를 변화시키고 또한 강화재를 규칙적 및 불규칙적으로 배치하였다. 이 복합재에 유한요소해석을 적용하여 수치적으로 복합재의 등가 물성치를 구하였으며, 수치해석결과를 Eshelby 이론으로 구한 등가 물성치와 비교하였다. Eshelby 이론으로 예측되는 복합재의 등가 물성치는 시편의 크기에 비해 강화재의 크기가 0.03이하가 되면 강화재의 배치와 관계없이 유한요소해석으로 구한 복합재의 평균 영계수와는 잘 일치하나, 평균 프와송비는 약 $20\%$의 차이를 보였다.

Incremental Damage Mechanics of Particle or Short-Fiber Reinforced Composites Including Cracking Damage

  • Cho, Young-Tae
    • Journal of Mechanical Science and Technology
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    • 제16권2호
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    • pp.192-202
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    • 2002
  • In particle or short-fiber reinforced composites, cracking of the reinforcements is a significant damage mode because the cracked reinforcements lose load carrying capacity. This paper deals with an incremental damage theory of particle or short-fiber reinforced composites. The composite undergoing damage process contains intact and broken reinforcements in a matrix. To describe the load carrying capacity of cracked reinforcement, the average stress of cracked ellipsoidal inhomogeneity in an infinite body as proposed in the previous paper is introduced. An incremental constitutive relation on particle or short-fiber reinforced composites including progressive cracking of the reinforcements is developed based on Eshelby's (1957) equivalent inclusion method and Mori and Tanaka\`s (1973) mean field concept. Influence of the cracking damage on the stress-strain response of composites is demonstrated.

분산형 복합재료의 손상 메커니즘 (Damage Mechanics in Particle or short-Fiber Reinforced Composite)

  • 조영태
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 1998년도 추계학술대회 논문집
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    • pp.287-292
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    • 1998
  • In particle or short-fiber reinforced composites. cracking of the reinforcements is a significant damage mode because the broken reinforcements lose load carrying capacity. This paper deals with the load carrying capacity of intact and broken ellipsoidal inhomogeneities embedded in an infinite body and a damage theory of particle or short-fiber reinforce composites. The average stress in the inhomogeneity represents its load carrying capacity. and the difference between the average stresses of the intact t and broken inhomogeneities indicates the loss of load carrying capacity due to cracking damage. The composite in damage process contains intact and broken reinforcements in a matrix. An incremental constitutive relation of particle or short-fiber reinforced composites including the progressive cracking damage of the reinforcements have been developed based on the Eshelby's equivalent inclusion method and Mori and Tanaka's mean field concept. Influence of the cracking damage on the stress-strain response of the composites is demonstrated.

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형상기억효과에 의해 발생되는 잔류응력의 해석 (Analysis of Residual Stresses Due to Shape Memory Effects)

  • 노홍길;김홍건;조영태;이동주;정태진;김경석
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 1999년도 춘계학술대회 논문집
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    • pp.147-152
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    • 1999
  • The strengthening of a metal matrix composite(MMC) by the shape memory effect(SME) of dispersed TiNi particles was theoretically studied. An analytical model was constructed for the prediction of the average residual stress(<$\sigma$>/sub/m) on the base of the Eshelby's equivalent inclusion method. The analysis was performed on the TiNi particle/Al metal matrix composites with varying volume fractions and prestrains of the particle. The residual stress caused by the shape memory of predeformed fillers has been predicted to contribute significantly to the strengthening of this composite.

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