• 제목/요약/키워드: rule of mixtures

검색결과 72건 처리시간 0.028초

Vibration behavior of trapezoidal sandwich plate with functionally graded-porous core and graphene platelet-reinforced layers

  • Liang, Di;Wu, Qiong;Lu, Xuemei;Tahouneh, Vahid
    • Steel and Composite Structures
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    • 제36권1호
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    • pp.47-62
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    • 2020
  • In this study, free vibration behavior of trapezoidal sandwich plates with porous core and two graphene platelets (GPLs) reinforced nanocomposite outer layers are presented. The distribution of pores and GPLs are supposed to be functionally graded (FG) along the thickness of core and nanocomposite layers, respectively. The effective Young's modulus of the GPL-reinforced (GPLR) nanocomposite layers is determined using the modified Halpin-Tsai micromechanics model, while the Poisson's ratio and density are computed by the rule of mixtures. The FSDT plate theory is utilized to establish governing partial differential equations and boundary conditions (B.C.s) for trapezoidal plate. The governing equations together with related B.C.s are discretized using a mapping- generalized differential quadrature (GDQ) method in the spatial domain. Then natural frequencies of the trapezoidal sandwich plates are obtained by GDQ method. Validity of current study is evaluated by comparing its numerical results with those available in the literature. A special attention is drawn to the role of GPLs weight fraction, GPLs patterns of two faces through the thickness, porosity coefficient and distribution of porosity on natural frequencies characteristics. New results show the importance of this permeates on vibrational characteristics of porous/GPLR nanocomposite plates. Finally, the influences of B.C.s and dimension as well as the plate geometry such as face to core thickness ratio on the vibration behaviors of the trapezoidal plates are discussed.

세라믹 하니컴 담체의 3차원 유한요소해석을 위한 등가탄성방법의 효과적인 접근 (An Effective Approach of Equivalent Elastic Method for Three-Dimensional Finite Element Analysis of Ceramic Honeycomb Substrates)

  • 백석흠;조석수
    • 대한기계학회논문집A
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    • 제35권3호
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    • pp.223-233
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    • 2011
  • 세라믹 모노리스 촉매는 두 계층으로 구성된 하니컴 구조이다. 하니컴 구조는 열유동 및 구조해석에서 연속체로 고려한다. 하니컴 구조의 등가 기계적 물성은 유한요소해석(FEA) 시험편으로부터 얻어진다. 강도 시험과 FEA는 ASTM C1674-08에서 소개된 사각 단위 셀 시험편과 시험방법에 의해 각각 달성되었다. 코제라이트 세라믹 층과 워시코트 층 사이의 접합계수는 거의 0이다. FEA 시험편은 접합계수에 기반한 모델로 만들어진다. 세라믹 모노리스 담체에서 탄성계수, 푸아송 비와 열적 물성은 FEA 시험편에 의해 결정하였다.

자동차 와이어 하네스 피로내구 해석 방법론 및 시험기기 개발 (Development of Analysis Method and Experimental Equipment for Fatigue Durability of Automotive Wire Harness System)

  • 이흥식
    • 한국전산구조공학회논문집
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    • 제26권3호
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    • pp.199-205
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    • 2013
  • 본 논문에서는 와이어 하네스의 피로 내구 수명을 예측하기 위해 와이어, 번들, 실차단계의 유한요소 해석 방법론이 연구되었고 이를 위한 피로 내구 시험 기기가 개발되었다. 와이어 하네스 시스템을 구성하는 5가지 종류의 와이어에 대한 응력-수명 그래프를 얻기 위해 개발된 피로 시험기를 이용하여 반복 굽힘 움직임을 인가하였다. 와이어를 구성하는 도선과 피복의 재료 모델링을 위해 혼합의 법칙이 적용된 등가모델을 이용하였다. 번들 해석과 시험을 통하여 와이어 간의 접촉조건과 번들의 테이핑조건이 정립되었다. 와이어 및 번들 단계의 결과들은 실차 단계의 해석에 적용되었다. 실차단계의 해석을 위해 번들과 그로맷으로 구성된 와이어 하네스 시스템을 수치적으로 모델링 하였으며, 차량 문의 개폐조건이 와이어 간의 접촉조건과 함께 적용되었다. 유한요소 해석을 이용한 실차 모델의 피로 내구 해석을 통해 70만회 이상의 피로 수명이 도출 되었으며, 실차 조건의 시험 결과와비교하여 타당성을 검증하였다.

Axisymmetric vibration analysis of a sandwich porous plate in thermal environment rested on Kerr foundation

  • Zhang, Zhe;Yang, Qijian;Jin, Cong
    • Steel and Composite Structures
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    • 제43권5호
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    • pp.581-601
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    • 2022
  • The main objective of this research work is to investigate the free vibration behavior of annular sandwich plates resting on the Kerr foundation at thermal conditions. This sandwich configuration is composed of two FGM face sheets as coating layer and a porous GPLRC (GPL reinforced composite) core. It is supposed that the GPL nanofillers and the porosity coefficient vary continuously along the core thickness direction. To model closed-cell FG porous material reinforced with GPLs, Halpin-Tsai micromechanical modeling in conjunction with Gaussian-Random field scheme is used, while the Poisson's ratio and density are computed by the rule of mixtures. Besides, the material properties of two FGM face sheets change continuously through the thickness according to the power-law distribution. To capture fundamental frequencies of the annular sandwich plate resting on the Kerr foundation in a thermal environment, the analysis procedure is with the aid of Reddy's shear-deformation plate theory based high-order shear deformation plate theory (HSDT) to derive and solve the equations of motion and boundary conditions. The governing equations together with related boundary conditions are discretized using the generalized differential quadrature (GDQ) method in the spatial domain. Numerical results are compared with those published in the literature to examine the accuracy and validity of the present approach. A parametric solution for temperature variation across the thickness of the sandwich plate is employed taking into account the thermal conductivity, the inhomogeneity parameter, and the sandwich schemes. The numerical results indicate the influence of volume fraction index, GPLs volume fraction, porosity coefficient, three independent coefficients of Kerr elastic foundation, and temperature difference on the free vibration behavior of annular sandwich plate. This study provides essential information to engineers seeking innovative ways to promote composite structures in a practical way.

Filament Winding에 의해 제조된 복합재료 NOL Ring시험편의 최적 인장강도 평가법에 관한 연구 (A Study on the Optimum Evaluation Method for Tensile NOL Ring Specimen Manufactured by Filament Winding Process)

  • 김윤해;권술철;임철문
    • Composites Research
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    • 제14권2호
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    • pp.8-12
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    • 2001
  • 필라멘트 와인딩 공법(filament winding process)은 회전하는 맨드렐에 로빙(roving)형태의 연속섬유를 감는 비교적 간단한 공정이다. 이것은 저장탱크, 화학용 파이프, 그리고 다른 산업에 사용되는 안정적이고 다양한 공법이다. 본 연구에서는 split disk test 치구와 dress disk test 치구에 의한 필라멘트 와인딩 링 시편의 인장강도 값을 실험에서 얻어진 결과와 혼합법칙에 의해 얻어진 이론적인 값을 비교하였다. 이 논문의 목적은 필라멘트 와인딩 구조물의 인장 특성 평가에 대한 적합한 시험법을 제안하고 있는 것이다. dress disk test 치구로 시험한 링 시험편의 인장강도는 split disk test 치구의 모서리 부분에서 발생하는 응력집중 때문에 split disk test의 시험 결과보다 이론적인 인장강도 간에 잘 근절함을 보여준다. 이 실험 결과 시험 치구의 기하학적 형상과 섬유의 연속성, 섬유 장력 그리고 시험편의 응력 집중에 영향은 받음을 알 수 있었다.

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섬유 체적분율을 고려한, 단일의 함유체를 포함한 무한고체에서의 탄성해석 (Elastic Analysis of an Unbounded Elastic Solid with an Inclusion Considering Composite Fiber Volume Fraction)

  • 이정기;한희덕
    • 대한기계학회논문집A
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    • 제31권1호
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    • pp.89-96
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    • 2007
  • A volume integral equation method (VIEM) is applied for the effective analysis of plane elastostatic problems in unbounded solids containing single isotropic inclusion of two different shapes considering composite fiber volume fraction. Single cylindrical inclusion and single square cylindrical inclusion are considered in the composites with six different fiber volume fractions (0.25, 0.30, 0.35, 0.40, 0.45, 0.50). Using the rule of mixtures, the effective material properties are calculated according to the corresponding composite fiber volume fraction. The analysis of plane elastostatic problems in the unbounded effective material containing single fiber that covers an area corresponding to the composite fiber volume fraction in the bounded matrix material are carried out. Thus, single fiber, matrix material with a finite region, and the unbounded effective material are used in the VIEM models for the plane elastostatic analysis. A detailed analysis of stress field at the interface between the matrix and the inclusion is carried out for single cylindrical or square cylindrical inclusion. Next, the stress field is compared to that at the interface between the matrix and the single inclusion in unbounded isotropic matrix with single isotropic cylindrical or square cylindrical inclusion. This new method can also be applied to general two-dimensional elastodynamic and elastostatic problems with arbitrary shapes and number of inclusions. Through the analysis of plane elastostatic problems, it will be established that this new method is very accurate and effective for solving plane elastic problems in unbounded solids containing inclusions considering composite fiber volume fraction.

해저터널용 복합신소재 배수복합관 부재의 정적거동에 관한 실험적 연구 (An experimental study on the static behavior of advanced composite materials drainage pipe member for an undersea tunnel)

  • 신종호;김강현;김두래;지효선
    • 한국터널지하공간학회 논문집
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    • 제17권2호
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    • pp.65-74
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    • 2015
  • 해저터널용 복합신소재 배수관구조를 설계하기 위해서는 복합신소재 구조부재의 적층형태별 역학적 성질을 결정하는 것이 필수적이다. 복합신소재는 일반적으로 등방성 재료와 달리 치수효과가 매우 큰 것으로 알려져 있다. 본 연구에서는 복합신소재 부재의 적층형태별 인장시험을 상온($20^{\circ}C$)과 해수온도($0^{\circ}C$)에서 각각 수행하였다. 또한, 이론적 해석방법인 혼합물의 법칙과 탄성해법을 적용하여 재료의 역학적 성질을 추정하고 시험결과와 비교를 하였다. 해저터널 복합신소재 배수관 구조부재를 설계할 때 사용되는 역학적 성질의 값은 상온에서 얻어진 값을 보정하여 적용하여야 된다. 이러한 자료는 향후 해저터널용 복합신소재 배수관구조의 설계의 기초자료로 제공하고자 하였다.

고야의 "카프리초스(Los Caprichos)"에 표현된 자웅동체적 선과 악 (Hermaphrodite Good and Evil in Goya's Los Caprichos)

  • 김정희
    • 미술이론과 현장
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    • 제13호
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    • pp.97-132
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    • 2012
  • 1799 Francisco de Goya published Los Caprichos with 80 aquatint etchings. On 6 February he advertised it on the front page of the Diario de Madrid. The long advertisement which began with "a collection of prints of capricious subjects, invented and etched by Don Francisco Goya" informed purpose, themes and methods of this collection of prints. According to this advertisement Goya "has chosen as subjects for his work, from the multitude of follies and mistakes common in every civil society and from the vulgar prejudices and lies authorized by custom, ignorance or self-interest, those that he has thought most fit to provide material for ridicules, and at the same time to exercise the artist's imagination." The text emphasized that the 'author' of this series didn't to want to criticise any individual and to be a copyist. From his phantasy Goya invented many creatures like the anthropic, humanized animals etc.. With Los Caprichos he stood on the threshold to Romanticism. The early researchers of Los Caprichos classified its author, Goya as an enlightened intellectual. The similarity of the themes of the series with the subjects of the Enlightenment, his some enlightened 'friends' and the idea to avoid the prevalent mystification of his life supported this theory. But this trend became revised since the 80's of the last century. This made possible to research Goya's works in new perspective and to see that Goya didn't criticise the Spanish society and his contemporaries. Rather he showed its reality and parodied through creatures which are mixtures of the reality that he observed, and visions that he invented. Characters and scenes in Goya's prints are ambiguous and equivocal. They have the values which are defined by the dualistic metaphysic in Europe as oppositional, like good and evil for example, at the same time. Goya himself also appeared in various types in this series. This ambiguousness, or "polyphony", as Jennis Tomlinson defined, is a symptom of the decay of the belief in the Enlightenment which spreaded in Europe as a result of the attack of Bastille and the French Revolution. Goya's self-portrait in pl. 43 of this series, "El sue$\tilde{n}$o de la razon produce monstruos" shows the complex psychology of him and his contemporaries as well. As the rest etchings after this print show witchcraft and monsters reside in the world in which the reason of the Enlightenment and the through the reason weakened God's rule lost their authority. In this thesis I will examine and analyse how Goya represented in Los Caprichos the nature of man and its society, as complex being in which the 'antagonistic' value couple as good and evil couldn't be divided, but are united.

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The Critical Pigment Volume Concentration Concept for Paper Coatings: II. Later-Bound Clay; Ground Calcium Carbonate, and Clay- carbonate Pigment Coatings

  • Lee, Do-Ik
    • 펄프종이기술
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    • 제34권5호
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    • pp.18-38
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    • 2002
  • A previous study on the model coatings based on latex-bound plastic pigment coatings (1) has been extended to latex-bound No. 1 clay, ultra-fine ground calcium carbonate (UFGCC), and clay-carbonate pigment mixture coatings, which are being widely used in the paper industry. The latex binder used was a good film-forming, monodisperse S/B latex or 0.15$\mu\textrm{m}$. No. 1 clay was representative of plate-like pigment particles, whereas UFGCC was of somewhat rounded rhombohedral pigment particlel. Both of them had negatively skewed triangular particle size distributions having the mean particle suet of 0.7${\mu}{\textrm}{m}$ and 0.6$\mu\textrm{m}$, respectively. Their packing volumes were found to be 62.5% and 657%, respectively. while their critical pigment volume concentrations (CPVC's) were determined to be 52.7% and 50.5% ( average of 45% caused by the incompatibility and 55.9% extrapolated) by coating porosity, respectively. Each pigment/latex coating system has shown its unique relationship between coating properties and pigment concentrations, especially above its CPVC. Notably, the clay/latex coating system hat shown higher coating porosity than the UFGCC/latex system at high pigment concentrations above their respective CPVC's. It was also found that their coating porosity and gloss were inter-related to each other above the CPVC's, as predicted by the theory. More interestingly, the blends of these two pigments have shown unique rheological and coating properties which may explain why such pigment blends are widely used in the industry. These findings have suggested that the unique structure of clay coatings and the unique high-shear rheology of ground calcium carbonate coatings can be judiciously combined to achieve superior coatings. Importantly, the low-shear viscosity of the blends was indicative of their unique packing and coating structure, whereas their high-shear rheology was represented by a common mixing rule, i.e., a viscosity-averaging. Transmission and scanning electron and atomic force microscopes were used to probe the state of pigment / latex dispersions, coating surfaces, freeze fractured coating cross-sections, and coating surface topography. These microscopic studies complemented the above observations. In addition, the ratio, R, of CPVC/(Pigment Packing Volume) has been proposed as a measure of the binder efficiency for a given pigment or pigment mixtures or as a measure of binder-pigment interactions. Also, a mathematical model has been proposed to estimate the packing volumes of clay and ground calcium carbonate pigments with their respective particle size distributions. As well known in the particle packing, the narrower the particle size distributions, the lower the packing volumes and the greater the coating porosity, regardless of particle shapes.

N2-O2 혼합가스에 따른 Teflon의 절연파괴특성 (Breakdown Characteristics of Teflon by N2-O2 Mixture gas)

  • 최은혁;최병숙;박숭규
    • 한국산학기술학회논문지
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    • 제19권1호
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    • pp.69-74
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    • 2018
  • 산업사회의 발달과 더불어 신뢰성 높은 양질의 전기에너지와 운전 및 보수의 간편화, 계통 운용의 신뢰성, 안전성 확보가 요구되고 있다. 본 논문에서는 각종 전력설비에서 SF6을 대체하여 사용되고 있는 친환경절연제 $N_2-O_2$ 혼합가스 고체 절연물의 절연파괴특성과 고체절연재로 사용되고 있는 테프론의 연면절연특성을 압력에 따른 특성을 확인하였다. 대기와 비슷한 성분비 일 때 상대적으로 절연파괴특성이 테프론의 연면절연특성이 안정화되며, Paschen 법칙에 의해 평등전계에 가까운 전극중의 기체의 절연파괴전압은 압력에 비례하여 높아지고 있음을 실험을 통하여 확인하였다. 연면절연파괴전압은 압력에 따라 선형적으로 증가하였으며, 혼합가스의 $O_2$ 가스 혼합비에 따라 절연파괴전압의 차이가 발생하였다. 이는 $O_2$ 가스의 전기적 부성기체의 영향과 분자 간 충돌거리에 의해 연면절연파괴전압이 달라졌고, 본 연구에서 분자 간 충돌거리의 영향이 더 크게 작용하였다. 연면절연특성에 따른 테프론에 적용 가능한 절연파괴전압 관계식을 산출하였다. 이러한 결과는 전력설비의 절연설계 시 기초자료로 사용될 수 있을 것이라 생각된다.