• Title/Summary/Keyword: mixture theory

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Prediction of Distribution of Solid Volume Fraction in Semi-Solid Materials Based on Mixture Theory (혼합이론에 근거한 반용융 재료의 고상률 분포 예측)

  • 윤종훈;김낙수;임용택
    • Transactions of Materials Processing
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    • v.8 no.4
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    • pp.399-406
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    • 1999
  • It is more appropriate to treat that the semi-solid mixture as a single phase material that obeys incompressibility in the global sense and to analyze the liquid flow only locally than the approach based on compressible yield criteria. In the present study, a numerical algorithm of updating the solid volume fraction based on mixture theory has been developed. Finite element analysis of simple upsetting was carried out using the proposed algorithm to investigate the degree of macro-segregation according to friction conditions and compressive strain rates under the isothermal condition. The simulation results were compared to experimental results available in reference to test the validity of the currently proposed algorithm. Since the comparison results show a good agreement it is construed that the proposed algorithm can contribute to the development of numerical analysis of determining the solid volume fraction semi-solid processing.

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The Study of Asphalt Concrete Mixture Design Using Maximum Density Theory (최대밀도이론을 이용한 아스팔트 혼합물의 배합설계에 관한 연구)

  • Lee, Seung-Han;Park, Hyun-Myo;Jung, Yong-Wook;Jang, Seck-Soo;Kim, Jang-Wook
    • Proceedings of the Korea Concrete Institute Conference
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    • 2005.05b
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    • pp.525-528
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    • 2005
  • This study determines the best composite grade to minimize the void of aggregate mixture based on the maximum density theory in an attempt to suggest a mix proportion method design for asphalt mixtures. Study results show that the grading curve with the maximum mass per unit capacity of each aggregate mixture satisfied the KS standards and the optimum AP content to meet the optimal asphalt mixture void rate of 4$\%$ was 5.7$\%$, less than the optimum AP content of 6.5$\%$ suggested in the Marshal mix proportion method design. At the same time, the asphalt mixture produced based upon the suggested mix proportion method had a flow value 17$\%$ lower than that of asphalt mixture produced according to the Marshal method, while its density was greater by 0.06$\~$0.09. This suggests that the introduced mix proportion method design helps to improve the shape flexibility and crack-resistance of asphalt concrete.

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On the Critical Scattering Phenomena of a Nonpolar Binary Liquid Mixture

  • Dong J. Lee;Shoon K. Kim
    • Bulletin of the Korean Chemical Society
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    • v.12 no.4
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    • pp.403-406
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    • 1991
  • Light scattering phenomena are discussed for a nonpolar binary liquid mixture composed of an optically active solute and an optically nonactive solvent in the critical region, using the Fisher theory. Comparing them with those in the case that the Ornstein-Zernike theory is satisfied, the appropriate analytic results are obtained and discussed.

A mixture theory based method for three-dimensional modeling of reinforced concrete members with embedded crack finite elements

  • Manzoli, O.L.;Oliver, J.;Huespe, A.E.;Diaz, G.
    • Computers and Concrete
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    • v.5 no.4
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    • pp.401-416
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    • 2008
  • The paper presents a methodology to model three-dimensional reinforced concrete members by means of embedded discontinuity elements based on the Continuum Strong Discontinuous Approach (CSDA). Mixture theory concepts are used to model reinforced concrete as a 3D composite material constituted of concrete with long fibers (rebars) bundles oriented in different directions embedded in it. The effects of the rebars are modeled by phenomenological constitutive models devised to reproduce the axial non-linear behavior, as well as the bond-slip and dowel action. The paper presents the constitutive models assumed for the components and the compatibility conditions chosen to constitute the composite. Numerical analyses of existing experimental reinforced concrete members are presented, illustrating the applicability of the proposed methodology.

A study on the development of temperature and pressure at the end-gas zone during the combustion period to establish the knock theory (노크이론 확립을 위한 말단가스 온도 및 압력 경과이력)

  • 이성열;오영일
    • Journal of the korean Society of Automotive Engineers
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    • v.15 no.1
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    • pp.28-36
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    • 1993
  • Present-day there are two of theories which have considerable scientific support to explain the knock phenomenon in S.I. engine, the detonation theory and the autoignition theory. But they still have some problems to explain effects of knock parameters, i.e.. compression ratio, spark timing, mixture quality, engine speed, ect, on knocking process in S.I. engine. Accordingly, it is essential to find out whish is more adequate theory of two and to develop the method of analyzing knock phenomenon, that is the aim of this paper. The Authors develop the method of predicting transient temperature and pressure at the end-gas zone during the combustion period and analyze knocking process by this method based on the knock theories. The caluculated values based on the autoignition theory show reasonablly correct relations between knock parameters and knock process but there is no evidence of knock occurred by detonation theory through the calculation according to the all parameters. The authors find out that the autoignition theory is more adequate than detonation theory to analyze knocking process in S.I. engine.

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Influence of the porosities on the free vibration of FGM beams

  • Hadji, L.;Adda Bedia, E.A.
    • Wind and Structures
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    • v.21 no.3
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    • pp.273-287
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    • 2015
  • In this paper, a free vibration analysis of functionally graded beam made of porous material is presented. The material properties are supposed to vary along the thickness direction of the beam according to the rule of mixture, which is modified to approximate the material properties with the porosity phases. For this purpose, a new displacement field based on refined shear deformation theory is implemented. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the beam without using shear correction factors. Based on the present refined shear deformation beam theory, the equations of motion are derived from Hamilton's principle. The rule of mixture is modified to describe and approximate material properties of the FG beams with porosity phases. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions. Illustrative examples are given also to show the effects of varying gradients, porosity volume fraction, aspect ratios, and thickness to length ratios on the free vibration of the FG beams.

Viscosity of Binary Gas Mixture from the Calculation by Using the Brake Theory of Viscosity (Brake 점성이론으로 계산한 이성분기체의 점성)

  • Kim, Won-Soo
    • Journal of the Korean Chemical Society
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    • v.48 no.3
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    • pp.243-248
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    • 2004
  • Brake theory of viscosity, which can sucessfully calculate the viscosity of real gases, dense gases and liquids, is extended to the binary gas mixture. Adjustable parameters are not involved, but the calculated results are good agreements with the experimental values at high pressure as well as low pressure. Corresponding state equation for viscosity can be obtained by using the Redlich-Kwong equation, so that we hope this equation may be useful for the supercritical fluid in engineering applications at high pressure around the critcal point.

Nonlinear higher order Reddy theory for temperature-dependent vibration and instability of embedded functionally graded pipes conveying fluid-nanoparticle mixture

  • Raminnea, M.;Biglari, H.;Tahami, F. Vakili
    • Structural Engineering and Mechanics
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    • v.59 no.1
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    • pp.153-186
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    • 2016
  • This paper addresses temperature-dependent nonlinear vibration and instability of embedded functionally graded (FG) pipes conveying viscous fluid-nanoparticle mixture. The surrounding elastic medium is modeled by temperature-dependent orthotropic Pasternak medium. Reddy third-order shear deformation theory (RSDT) of cylindrical shells are developed using the strain-displacement relations of Donnell theory. The well known Navier-Stokes equation is used for obtaining the applied force of fluid to pipe. Based on energy method and Hamilton's principal, the governing equations are derived. Generalized differential quadrature method (GDQM) is applied for obtaining the frequency and critical fluid velocity of system. The effects of different parameters such as mode numbers, nonlinearity, fluid velocity, volume percent of nanoparticle in fluid, gradient index, elastic medium, boundary condition and temperature gradient are discussed. Numerical results indicate that with increasing the stiffness of elastic medium and decreasing volume percent of nanoparticle in fluid, the frequency and critical fluid velocity increase. The presented results indicate that the material in-homogeneity has a significant influence on the vibration and instability behaviors of the FG pipes and should therefore be considered in its optimum design. In addition, fluid velocity leads to divergence and flutter instabilities.

Transient State Theory of Significant Liquid Structure applied to Binary Mixture, Benzene-Cyclohexane (이성분 액체 혼합물의 통계열역학적 연구)

  • Ahn, Woon-Sun
    • Journal of the Korean Chemical Society
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    • v.10 no.3
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    • pp.136-142
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    • 1966
  • The Transient State Theory of Significant Liquid Structure has been successfully extended to binary mixture, benzene-cyclohexane system, which gives positive deviation from Raoult's law. The partition function has been derived, and from it various thermodynamic properties, such as total and partial vapor pressures, molar volumes, and excess entropies have been calculated at the temperatures $303.15^{\circ},\;\313.15^{\circ},\;and\;343.15^{\circ}K$. The calculated values agree satisfactorily with the experimental data.

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Classical shell theory for instability analysis of concrete pipes conveying nanofluid

  • Keikha, Reza;Heidari, Ali;Hosseinabadi, Hamidreza;Haghighi, Mohammad Salkhordeh
    • Computers and Concrete
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    • v.22 no.2
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    • pp.161-166
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    • 2018
  • This paper deals with the instability analysis of concrete pipes conveying viscous fluid-nanoparticle mixture. The fluid is mixed by $AL_2O_3$ nanoparticles where the effective material properties of fluid are obtained by mixture rule. The applied force by the internal fluid is calculated by Navier-Stokes equation. The structure is simulated by classical cylindrical shell theory and using energy method and Hamilton's principle, the motion equations are derived. Based on Navier method, the critical fluid velocity of the structure is calculated and the effects of different parameters such as fluid velocity, volume percent of nanoparticle in fluid and geometrical parameters of the pipe are considered. The results present that with increasing the volume percent of nanoparticle in fluid, the critical fluid velocity increase.