• Title/Summary/Keyword: Mixture Theory

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Finite Element Analysis Piezocone Test I (피에조콘 시험의 유한요소 해석 I)

  • 김대규
    • Journal of the Korean Geotechnical Society
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    • v.16 no.4
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    • pp.183-190
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    • 2000
  • In this research, the finite element analysis of piezocone penetration and dissipation tests have been conducted using the anisotropic elastoplastic-viscoplastic bounding surface model in the Updated Lagrangian reference frame for the large deformation and finite strain nu\ature of piezocone penetration. Accordingly, virtual work equation and corresponding finite element equations have been reformulated. Theory of mixtures has been incorporated to explain the behavior of the sol. It has been observed that the viscoplastic part of the soil model affected the whole formulation. The results of the finite element analysis have been compared and investigated with the experimental results. The formulations and the results are described in part 'I' and part 'II', respectively.

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Buckling of sandwich plates with FG-CNT-reinforced layers resting on orthotropic elastic medium using Reddy plate theory

  • Shokravi, Maryam
    • Steel and Composite Structures
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    • v.23 no.6
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    • pp.623-631
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    • 2017
  • Present paper deals with the temperature-dependent buckling analysis of sandwich nanocomposite plates resting on elastic medium subjected to magnetic field. The lamina layers are reinforced with carbon nanotubes (CNTs) as uniform and functionally graded (FG). The elastic medium is considered as orthotropic Pasternak foundation with considering the effects of thermal loading on the spring and shear constants of medium. Mixture rule is utilized for obtaining the effective material properties of each layer. Adopting the Reddy shear deformation plate theory, the governing equations are derived based on energy method and Hamilton's principle. The buckling load of the structure is calculated with the Navier's method for the simply supported sandwich nanocomposite plates. Parametric study is conducted on the combined effects of the volume percent and distribution types of the CNTs, temperature change, elastic medium, magnetic field and geometrical parameters of the plates on the buckling load of the sandwich structure. The results show that FGX distribution of the CNTs leads to higher stiffness and consequently higher buckling load. In addition, considering the magnetic field increases the buckling load of the sandwich nanocomposite plate.

Approximate Nonrandom Two-Fluid Lattice-Hole Theory. Thermodynamic Properties of Real Mixtures

  • 유기풍;신훈용;이철수
    • Bulletin of the Korean Chemical Society
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    • v.18 no.8
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    • pp.841-850
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    • 1997
  • A simple molecular theory of mixtures is formulated based on the nonrandom two-fluid lattice-hole theory of fluids. The model is applicable to mixtures over a density range from zero to liquid density. Pure fluids can be completely characterized with only two molecular parameters and an additional binary interaction energy is required for a binary mixture. The thermodynamic properties of ternary and higher order mixtures are completely defined in terms of the pure fluid parameters and the binary interaction energies. The Quantitative prediction of vapor-liquid, and solid-vapor equilibria of various mixtures are demonstrated. The model is useful, in particular, for mixtures whose molecules differ greatly in size. For real mixtures, satisfactory agreements are resulted from experiment. Also, the equation of state (EOS) is characterized well, even the liquid-liquid equilibria behaviors of organic mixtures and polymer solutions with a temperature-dependent binary interaction energy parameter.

Effect of porosity distribution rate for bending analysis of imperfect FGM plates resting on Winkler-Pasternak foundations under various boundary conditions

  • Aicha, Kablia;Rabia, Benferhat;Daouadji, Tahar Hassaine;Bouzidene, Ahmed
    • Coupled systems mechanics
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    • v.9 no.6
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    • pp.575-597
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    • 2020
  • Equilibrium equations of a porous FG plate resting on Winkler-Pasternak foundations with various boundary conditions are derived using a new refined shear deformation theory. Different types of porosity distribution rate are considered. Governing equations are obtained including the plate-foundation interaction. This new model meets the nullity of the transverse shear stress at the upper and lower surfaces of the plate. The novel rule of mixture is proposed to describe and approximate material properties of the FG plates with different distribution case of porosity. The validity of this theory is studied by comparing some of the present results with other higher-order theories reported in the literature. Effects of variation of porosity distribution rate, boundary conditions, foundation parameter, power law index, plate aspect ratio, side-to-thickness ratio on the deflections and stresses are all discussed.

Analysis of Reinforced Concrete Slab Bridges by the Composite Laminates Theory (복합적층판 이론에 의한 철근콘크리트 슬래브교의 해석)

  • Han, Bong-Koo;Kim, Duck-Hyun
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.1 no.1
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    • pp.9-15
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    • 2010
  • In this paper, A reinforced concrete slab bridges is analyzed by the composite laminates theory. Both the geometry and the material of the cross section of the reinforced concrete slab bridge are considered symmetrical with respect to the mid-surface so that the bending extension coupling stiffness, Bij = 0, and D16 = D26 = 0. Each longitudinal and transverse steel layer is regarded as a lamina, and material constants of each lamina is calculated by the use of rule of mixture. This slab with simple support is under uniformly distributed vertical and axial loads. In this paper, the finite difference method and specially orthotropic laminates theory are used for analysis. The result of specially orthotropic laminates theory analysis is modified to obtain the solution of the beam analysis. The result of this paper can be used for reinforced concrete slab analysis by the engineers with undergraduate study in near future.

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Free vibration of imperfect sigmoid and power law functionally graded beams

  • Avcar, Mehmet
    • Steel and Composite Structures
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    • v.30 no.6
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    • pp.603-615
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    • 2019
  • In the present work, free vibration of beams made of imperfect functionally graded materials (FGMs) including porosities is investigated. Because of faults during process of manufacture, micro voids or porosities may arise in the FGMs, and this situation causes imperfection in the structure. Therefore, material properties of the beams are assumed to vary continuously through the thickness direction according to the volume fraction of constituents described with the modified rule of mixture including porosity volume fraction which covers two types of porosity distribution over the cross section, i.e., even and uneven distributions. The governing equations of power law FGM (P-FGM) and sigmoid law FGM (S-FGM) beams are derived within the frame works of classical beam theory (CBT) and first order shear deformation beam theory (FSDBT). The resulting equations are solved using separation of variables technique and assuming FG beams are simply supported at both ends. To validate the results numerous comparisons are carried out with available results of open literature. The effects of types of volume fraction function, beam theory and porosity volume fraction, as well as the variations of volume fraction index, span to depth ratio and porosity volume fraction, on the first three non-dimensional frequencies are examined in detail.

Study on Fashion Illustration as Viewed from the Allegorical - Based on the theory of Craig Owens - (알레고리 관점의 패션 일러스트레이션에 관한 연구 - 크렉 오웬스의 이론을 중심으로 -)

  • Kim, Mi-Hyun
    • Journal of the Korean Society of Costume
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    • v.62 no.4
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    • pp.81-90
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    • 2012
  • The contents of this study are as follows. First, an academic understanding has been achieved by exploring the theoretical concept "allegory", and a new theoretical approached methodology has been sought. Second, an analysis-index of fashion illustration cases has been suggested based on the allegory theory of Craig Owens. Third, in order to draw the characteristics of fashion illustration as viewed from the allegorical viewpoint and find out its feasibility, the case studies has been referred and the internal significance, external significance that combines different characteristics has been extracted. In regards to this study method, literature studies and case studies has been done in parallel with each other. This study was done in the following sequence: the establishment of the study system, the drawing of the allegory-associated concepts and the discovering the characteristics of aesthetic expressions. The results of this study on the expression characteristics of fashion illustration as viewed from the allegorical viewpoint of Craig Owens are as follows. First, the borrowing of image, which is a characteristic of allegory, contains the meaning of uncertainty in the fashion illustration as it expresses the image-synthesis and forms a completely different meaning as the fixed meaning is dissolved and it is utilized as a photo-montage technique. Second, the inference of pictogram is the mixture of linguistic medium and visual medium. Fashion illustration utilizes the characters and transmits the fashion information visually and immanently. It has the characteristic of making the information into pictograms and the internal significances of mutual-text with communication function. Third, the uniqueness of location in the fashion illustration has the special nature of utilized mediums as it is used for advertising or publicizing. The fashion illustration from the viewpoint of allegory has the impermanency of existing only for a limited time and reflects the coincidence that gives the meaning of utilized location according to the season trend. Fourth, the cross-breeding is expressed as the mixture of various materials in the fashion illustration. The expressions made by the mixture of media, such as the use of computer graphic programs mixed together with various materials showed the trend of diversity and genre dissolution.

Theoretical Calculation of Activity Coefficients of Liquid Mixtures (액체혼합물의 활동도계수의 이론적 계산)

  • Moon Dae-Won;Jhon Mu Shik;Lee Taikyue
    • Journal of the Korean Chemical Society
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    • v.21 no.6
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    • pp.395-403
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    • 1977
  • Significant structure theory was applied to some liquid mixture systems ranging from simple monatomic molecule systems to polyatomic molecule systems, and the activity coefficients ${\gamma}$ of the liquid mixture systems were calculated over whole mole fractions using the following thermodynamic relation $RTln_{{\gamma}i} = (\frac{{\partial A}^E}{{\partial N}_i})_{T,V,N_i} $ where $A^E$ represents the excess Helmholtz free energy, and $N_i$ is the number of molecules of component i. The activity coefficients of the solutions such as monatomic molecule systems (Ar-Kr, Kr-Xe) and diatomic molecule systems $(Ar-O_2,\;N_2-CO)$ and $CH_4-Kr$ systems whose components have similar shapes for intermolecular potential curves were calculated successfully only with the ${\delta}E_s$, correction parameter for energy $E_s$, for mixture systems. For other systems such as $Ar-N_2,\;O_2-N_2\;and\;CH_4-C_3H_8$ whose components have dissimilar intermolecular potential curve shapes an additional correction parameters ${\delta}$V and even one more parameter ${\delta}$n were necessary [see Eqs.(10)∼(12)].

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Literature Review on the Experimental Designs in KSQM for 50 Years (품질경영학회 50주년 특별호: 실험계획법 분야 연구 리뷰)

  • Kim, Sang Ik;Lee, Sang Bok;Lim, Yong Bin;Jang, Dae Heung
    • Journal of Korean Society for Quality Management
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    • v.44 no.2
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    • pp.245-264
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    • 2016
  • Purpose: This article focuses on the reviewing the papers published in the Journal of the Korean Society for Quality Control (JKSQC) and the Journal of the Korean Society for Quality Management (JKSQM) since 1965, in the area of design of experiments. In this paper, moreover, some other contents of another statistical quality control areas is included. Methods: The reviewed articles are classified into the three main categories: theory and application of experimental designs, response surface methodology and mixture experiments, and roust designs. Some omitted papers in the other areas of reviewing works are also included in this paper, and the contents and relationships of the published articles are examined and summarized in each sub-field. Results: We summarize the reviewed papers in the chronological road-maps for each sub-field, and outline the relations of the connected papers. We provide comments on the contents and the contributions of the reviewed papers. The future direction of the research in the theory and application areas of experimental designs can be provided by the contents of this research. Conclusion: The diverse topics on the improving the quality in the various industry fields are studied and published on the theory, methodology and the empirical application in the fields of designs of experiments. We can see that the Korean Society for Quality Management (KSQM) has tremendously contributed on the improvement of quality in the manufacturing and service industries by publishing the reviewed articles in this paper.

The Effect of Inorganic Electrolyte on the Electrokinetic Features of Calcium Carbonate Particles in Aqueous Environment (수중 탄산칼슘 입자의 전기적 거동에 미치는 무기염류의 영향)

  • O, Se-Jin;Choi, Eun-Jin;Kim, Dong-Su
    • Journal of Korean Society on Water Environment
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    • v.26 no.1
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    • pp.89-95
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    • 2010
  • The electrokinetic potential of $CaCO_3$, which takes an important part in aquatic system, has been measured and the variation of total energy between $CaCO_3$ particles with the distance of particles was estimated based on DLVO theory. The electrokinetic potential of particles was observed to increase to positive direction as the charge valence of cations which was added to suspension was increased. Also, the total interaction energy between particles was estimated to be more negative as the charge valence of cation was higher and its concentrations was raised. When a mixture of cations with different charge valences was added, the influence of cation with a higher charge valence was more significant on the total interaction energy between particles. When anion was added to the suspension of $CaCO_3$, the total energy estimated by DLVO theory was examined to move to positive direction and the electrokinetic potential of particles became more negative. Likewise cations, the effect of anions on the electrokinetic potential of particles and total interaction energy between them was observed to be proportional to their charge valence and the influence of the mixture of anions with different charge valence became more remarkable as the mixing ratio of the anion with a higher charge valence was increased.