• Composites Research
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• 제19권2호
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• pp.28-34
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• 2006

고온자전합성법과 스파크 플라즈마 소결법으로 여러 가지 $TiB_2$ 함유량을 갖는 $Cu-TiB_2$ 금속복합재료를 제조하였다. 점용접 전극과 미끄럼 접촉재로 사용하기 위해 인장특성, 경도, 마모저항 등의 물성치를 조사하였다. 강화재의 형상, 크기, 부피분율 등에 의해 복합재료의 특성이 달라지므로 유효물성치를 예측하기 위한 모델링이 필수적이다. 유한요소해석결과 유효탄성 계수가 실험치와 일치하는 것을 확인하였고 Eshelby 모델, Mori-Tanaka의 평균장 이론이 결합된 Eshelby 모델, 혼합법칙 등으로 복합재료의 탄성계수를 예측한 결과 Mori-Tanaka의 평균장 이론이 결합된 Eshelby 모델이 실험치를 사장 잘 묘사하는 것으로 나타났다.

• 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.

• 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.

• Journal of Mechanical Science and Technology
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• 제20권11호
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• pp.1891-1897
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• 2006

In this study, a new model to predict the effective elastic constants of composites with spherical fillers is proposed. The original Eshelby model is extended to a finite filler volume fraction without using Mori-Tanaka's mean field approach. When single filler is embedded in the matrix, the effective elastic constants of the composite are computed. The composite is in turn considered as a new matrix, where new single filler is again embedded in the matrix. The predicted results by the present model with a series of embedding procedures are compared with those by Mori-Tanaka, self-consistent, and generalized self-consistent models. It is revealed through parametric studies such as stiffness ratio of the filler to the matrix and filler volume fraction that the present model gives more accurate predictions than Mori-Tanaka model without using the complicated numerical scheme used in self-consistent and generalized self-consistent models.

• 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.

• Computers and Concrete
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• 제23권5호
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• pp.361-376
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• 2019

In this research, bending analysis of a micro sandwich skew plate with isotropic core and piezoelectric composite face sheets reinforced by carbon nanotube on the elastic foundations are studied. The classical plate theory (CPT) are used to model micro sandwich skew plate and to apply size dependent effects based on modified strain gradient theory. Eshelby-Mori-Tanaka approach is considered for the effective mechanical properties of the nanocomposite face sheets. The governing equations of equilibrium are derived using minimum principle of total potential energy and then solved by extended Kantorovich method (EKM). The effects of width to thickness ratio and length to width of the sandwich plate, core-to-face sheet thickness ratio, the material length scale parameters, volume fraction of CNT, the angle of skew plate, different boundary conditions and types of cores on the deflection of micro sandwich skew plate are investigated. One of the most important results is the reduction of the deflection by increasing the angle of the micro sandwich skew plate and decreasing the deflection by decreasing the thickness of the structural core. The results of this research can be used in modern construction in the form of reinforced slabs or stiffened plates and also used in construction of bridges, the wing of airplane.

• 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.

• Structural Engineering and Mechanics
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• 제57권3호
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• pp.441-456
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• 2016

This work reports wave propagation in the nanocomposite cylinders that reinforced by straight single-walled carbon nanotubes based on a mesh-free method. Moving least square shape functions have been used for approximation of displacement field in weak form of motion equation. The straight carbon nanotubes (CNTs) are assumed to be oriented in specific or random directions or locally aggregated into some clusters. In this simulation, an axisymmetric model is used and also the volume fractions of the CNTs and clusters are assumed to be functionally graded along the thickness. So, material properties of the carbon nanotube reinforced composite cylinders are variable and estimated based on the Eshelby-Mori-Tanaka approach. The effects of orientation, aggregation and volume fractions of the functionally graded clusters and CNTs on dynamic behavior of nanocomposite cylinders are studied. This study results show that orientation and aggregation of CNTs have significant effects on the effective stiffness and dynamic behaviors.

• 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%.

• Advances in nano research
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• 제5권2호
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• pp.69-97
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• 2017

In this study, nonlinear response of laminated functionally graded carbon nanotube reinforced composite (FG-CNTRC) plate under low-velocity impact based on the Eshelby-Mori-Tanaka approach in thermal conditions is studied. The governing equations are derived based on higher-order shear deformation plate theory (HSDT) under von $K\acute{a}rm\acute{a}n$ geometrical nonlinearity assumptions. The finite element method with 15 DOF at each node and Newmark's numerical integration method is applied to solve the governing equations. Four types of distributions of the uniaxially aligned reinforcement material through the thickness of the plates are considered. Material properties of the CNT and matrix are assumed to be temperature dependent. Contact force between the impactor and the laminated plate is obtained with the aid of the modified nonlinear Hertzian contact law models. In the numerical example, the effect of layup (stacking sequence) and lamination angle as well as the effect of temperature variations, distribution of CNTs, volume fraction of the CNTs, the mass and the velocity of the impactor in a constant energy level and boundary conditions on the impact response of the CNTRC laminated plates are investigated in details.