• Title/Summary/Keyword: Law of Mixture

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Static analysis of the FGM plate with porosities

  • Benferhat, R.;Hassaine Daouadji, T.;Hadji, L.;Said Mansour, M.
    • Steel and Composite Structures
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    • v.21 no.1
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    • pp.123-136
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    • 2016
  • This work focuses on the behavior of the static analysis of functionally graded plates materials (FGMs) with porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. For this purpose a new refined plate theory is used in this work, it contains only four unknowns, unlike five unknowns for other theories. This new model meets the nullity of the transverse shear stress at the upper and lower surfaces of the plate. The parabolic distribution of transverse shear stresses along the thickness of the plate is taken into account in this analysis; the material properties of the FGM plate vary a power law distribution in terms of volume fraction of the constituents. The rule of mixture is modified to describe and approximate material properties of the FG plates with porosity phases. The validity of this theory is studied by comparing some of the present results with other higher-order theories reported in the literature, the influence of material parameter, the volume fraction of porosity and the thickness ratio on the behavior mechanical P-FGM plate are represented by numerical examples.

A Study on Explosive Limits of Flammable Materials - Explosive Limits of Flammable Binary liquid Mixture by Liquid Phase Compositions - (가연성물질의 폭발한계에 관한 연구 - 액상 조성에 의한 가연성 2성분 액체혼합물의 폭발한계 -)

  • 하동명
    • Journal of the Korean Society of Safety
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    • v.16 no.4
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    • pp.103-108
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    • 2001
  • Explosive limit is one of the major physical properties used to determine the fire and explosion hazards of the flammable substances. Explosive limits are used to classify flammable liquids according to their relative flammability. Such a classification is important for the safe handling of flammable liquids which constitute the solvent mixtures. Explosive limits of all compounds and solvent mixtures can be calculated with the appropriate use of the fundamental laws of Raoult, Dalton, Le Chatelier and activity coefficient models. In this paper, Raoult,s law and van Laar equation(activity coefficient model) are shown to be applicable for the prediction of the explosive limits in the flammable ethylacetate-toluene system. The values calculated by the proposed equations were a good agreement with literature data within a given percent. From a given results, by the use of the proposed equations, it is possible to predict explosive limits of the other flammable mixtures. It is hoped eventually that this method will permit the estimation of the explosive Properties of flammable mixtures with improved accuracy and the broader application for other flammable stances.

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In situ reduction of gold nanoparticles in PDMS matrices and applications for large strain sensing

  • Ryu, Donghyeon;Loh, Kenneth J.;Ireland, Robert;Karimzada, Mohammad;Yaghmaie, Frank;Gusman, Andrea M.
    • Smart Structures and Systems
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    • v.8 no.5
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    • pp.471-486
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    • 2011
  • Various types of strain sensors have been developed and widely used in the field for monitoring the mechanical deformation of structures. However, conventional strain sensors are not suited for measuring large strains associated with impact damage and local crack propagation. In addition, strain sensors are resistive-type transducers, which mean that the sensors require an external electrical or power source. In this study, a gold nanoparticle (GNP)-based polymer composite is proposed for large strain sensing. Fabrication of the composites relies on a novel and simple in situ GNP reduction technique that is performed directly within the elastomeric poly(dimethyl siloxane) (PDMS) matrix. First, the reducing and stabilizing capacities of PDMS constituents and mixtures are evaluated via visual observation, ultraviolet-visible (UV-Vis) spectroscopy, and transmission electron microscopy. The large strain sensing capacity of the GNP-PDMS thin film is then validated by correlating changes in thin film optical properties (e.g., maximum UV-Vis light absorption) with applied tensile strains. Also, the composite's strain sensing performance (e.g., sensitivity and sensing range) is also characterized with respect to gold chloride concentrations within the PDMS mixture.

Transient State Theory of Significant Liquid Structure Applied to A Binary Mixture of Benzene and Carbon Tetrachloride (이성분 액체 혼합물 ($C_6H_6-CCl_4$)의 통계열역학적 연구)

  • Choi, Dong-Sik;Ahn, Woon-Sun;Kim, Kak-Choong;Chang, Sei-Hun
    • Journal of the Korean Chemical Society
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    • v.11 no.4
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    • pp.143-149
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    • 1967
  • The Transient State Theory of Significant Liquid Structure is applied to a binary liquid solution of benzene and carbon tetrachloride, which gives slightly positive deviation from Raoults law. The partition function for the solution is derived according to the proposed theory. The various thermodynamic properties such as total and partial vapor pressures, molar volumes, entropies of mixing, and compressibilities are calculated at three different temperatures, 298.15^{\circ}K$, 313.15^{\circ}K$ and 343.1515^{\circ}K$. The calculated values agree satisfactorily with experimental data.

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Flow Behavior of Sweet Potato Starch in Mixed Sugar Systems

  • Cho, Sun-A;Kim, Bae-Young;Yoo, Byoung-Seung
    • Preventive Nutrition and Food Science
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    • v.13 no.3
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    • pp.249-252
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    • 2008
  • Flow behaviors of sweet potato starch (SPS) pastes (5% w/w) were studied in the presence of various sugars (xylose, glucose, fructose and sucrose) and sugar alcohols (xylitol and sorbitol). The flow properties of SPS-sugar mixtures were determined from the rheological parameters of power law model. The vane method was also employed for determining yield stresses of SPS-sugar mixtures directly under a controlled low shear rate. At $25^{\circ}C$ all the samples showed shear-thinning behaviors ($n=0.35{\sim}0.44$) with yield stress. The consistency index (K) values of SPS-sugar mixtures increased in the following order: sorbitol> xylitol> control (no sugar)> sucrose> fructose> glucose> xylose, showing that the addition of sugar alcohols enhanced the K values. The yield stress values were reduced in the presence of ugars and sugar alcohols and they also increased with an increase in swelling power of starch granules in the SPS-sugar mixture systems.

Permittivities of the E-Glass Fabric/Epoxy Composite Laminates Containing Carbon Black Dispersion (카본 블렉을 함유한 복합재 적층판의 유전율)

  • 김진봉;김태욱
    • Composites Research
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    • v.16 no.2
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    • pp.48-53
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    • 2003
  • This paper presents a study on the permittivities of the I-glass fabric/epoxy composite laminates containing carbon black dispersions at microwave frequency. Measurements were performed at the frequency band of 5 GHz∼18 GHz. The results showed that the complex permittivities of the composites depend strongly on the natures and concentrations of the carbon black dispersion. A new scheme is proposed to obtain a mixing law for the estimation of the complex permittivities of the composite laminates as a function of concentration of carbon black. Simultaneously, the complex permittivity of carbon black itself was also calculated by the scheme. The experimental values of the complex permittivities of the composites were compared to those calculated.

The Color Analysis and The Optical Absorption Properties of Yellow(x)-Blue(1-x) Color Lens (Yellow(x)-Blue(1-x) 칼라렌즈의 광흡수 특성과 color 분석)

  • Park, Sang An;Kim, Yong Geun
    • Journal of Korean Ophthalmic Optics Society
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    • v.5 no.2
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    • pp.201-205
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    • 2000
  • The colors of a tinted lens for a mixed color could be applied to a subtractive mixture's law, and the estimation of a tinted lens used the properties of optical absorptions and the color analysis. The optical absorption properties of Yellow(x)-Blue(1-x) depended on the yellow color in short wavelength below 500 nm, the absorption in the 550~650 nm wavelength regions depended on the blue color. The absorption band in the 550~650 nm wavelength regions was a peak for an ion of transition metal. The color properties of Yellow(x)-Blue(1-x) analysing by the $L^*a^*b^*$ of CIE system shifted to toward $+a^*$ decreasing x, it was formed of a pure color because of a low saturation existing in +0.6.

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Effects of CNTs waviness and aspect ratio on vibrational response of FG-sector plate

  • Tahouneh, Vahid
    • Steel and Composite Structures
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    • v.25 no.6
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    • pp.649-661
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    • 2017
  • This paper is motivated by the lack of studies in the technical literature concerning to the influence of carbon nanotubes (CNTs) waviness and aspect ratio on the vibrational behavior of functionally graded nanocomposite annular sector plates resting on two-parameter elastic foundations. The carbon nanotube-reinforced (CNTR) plate has smooth variation of CNT fraction based on the power-law distribution in the thickness direction, and the material properties are also estimated by the extended rule of mixture. In this study, the classical theory concerning the mechanical efficiency of a matrix embedding finite length fibers has been modified by introducing the tube-to-tube random contact, which explicitly accounts for the progressive reduction of the tubes' effective aspect ratio as the filler content increases. Parametric studies are carried out to highlight the influence of CNTs volume fraction, waviness and aspect ratio, boundary conditions and elastic foundation on vibrational behavior of FG-CNT thick sectorial plates. The study is carried out based on three-dimensional theory of elasticity and in contrary to two-dimensional theories, such as classical, the first- and the higher-order shear deformation plate theories, this approach does not neglect transverse normal deformations. The annular sector plate is assumed to be simply supported in the radial edges while any arbitrary boundary conditions are applied to the other two circular edges including simply supported, clamped and free. For an overall comprehension on 3-D vibration of annular sector plates, some mode shape contour plots are reported in this research work.

The Study on Fabrication of LAS System Ceramics for Thermal Shock Resistance from Silicate Minerals: (II) Preparation of Spodumene Powders with Sillimanite, Kaolin and Pyrophyllite Group Minerals (실리케이트 광물을 이용한 내열충격성 LAS계 세라믹스의 제조에 관한 연구: (II) Sillimanite, Kaolin 및 Pyrophyllite족 광물을 이용한 Spodumene 분말합성)

  • 박한수;조경식;문종수
    • Journal of the Korean Ceramic Society
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    • v.31 no.7
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    • pp.784-794
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    • 1994
  • Though spodumene have a law theraml expension and good thermal shock resistance, its sintering temperature is too close to its melting point in the application for industral purpose. Solving the problems, impurities within the silicate minerals act as a frit during firing, so its densification is expected through enlargement of sintering temperature range. By the heat treatment of starting materials, mixtures of silicate mineral, lithium carbonate, if necessary SiO2 or Al2O3 were added for stoichiometric correction, in the range of 1000~125$0^{\circ}C$ for 10 hrs, $\beta$-spodumene single phase was synthesized. Mixtures with sillimanite group minerals, $\beta$-spodumene was formed at 120$0^{\circ}C$ or 125$0^{\circ}C$ via intermediate phases of petalite, Li2SiO3 and LiAlO2. For the case of kaolin group minerals, synthesis were completed at 110$0^{\circ}C$ for Hadon pink kaolin, 120$0^{\circ}C$ for New Zealand white kaolin, When pyrophyllite group minerals were used, those were at the range of 1000~125$0^{\circ}C$. Spodumene was completed at lowest temperature, 100$0^{\circ}C$ from the mixture of Wando pyrophyllite among them. Microstructure of synthesized powders showed the inrregular lump shape such as densed crystallines.

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Solidification Analysis for Surface Defect Prediction of Rheology Forming Process Considering Flow Phenomena of Liquid and Solid Region (액상과 고상의 유동현상을 고려한 레오로지 성형공정의 표면결함예측을 위한 응고해석)

  • Seo, Pan-Ki;Jung, Young-Jin;Kang, Chung-Gil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.10
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    • pp.1971-1981
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    • 2002
  • Two-dimensional solidification analysis during rheology forming process of semi-solid aluminum alloy has been studied. Two-phase flow model to investigate the velocity field and temperature distribution is proposed. The proposed mathematical model is applied to the die shape of the two types. To calculate the velocities and temperature fields during rheology forming process, the each governing equations correspondent to the liquid and solid region are adapted. Therefore, each numerical model considering the solid and liquid coexisting region within the semi-solid material have been developed to predict the defects of rheology forming parts. The Arbitrary Boundary Maker And Cell(ABMAC) method is employed to solve the two-Phase flow model of the Navier-Stokes equation. Theoretical model basis of the two-phase flow model is the mixture rule of solid and liquid phases. This approach is based on using the liquid and solid viscosity. The Liquid viscosity is pure liquid state value, however solid viscosity is considered as a function of the shear rate, solid fraction and power law curves.