• 제목/요약/키워드: theory

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커크우드-버프 용액 이론 (Kirkwood-Buff Solution Theory)

  • 임경희
    • 한국응용과학기술학회지
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    • 제27권4호
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    • pp.452-460
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    • 2010
  • Any theory of liquid should account for interactions between molecules, since molecules in a liquid are close to each other. For this matter statistical-mechanical methodology has been used and various models have been proposed on the basis of this methodology. Among them Kirkwood-Buff solution theory has attracted a lot of interest, because it is regarded as being the most powerful. In this article Kirkwood-Buff solution theory is revisited and its key equations are derived. On the way to these equations, the concepts of pair correlation function, radial distribution function, Kirkwood-Buff integration are explained and implemented. Since complexity of statical mechanics involved in this theory, the equations are applied to one-component systems and the results are compared to those obtained by classical thermodynamics. This may be a simple way for Kirkwood-Buff solution theory to be examined for its validity.

Axial compression ratio limit values for steel reinforced concrete (SRC) special shaped columns

  • Chen, Zongping;Xu, Jinjun;Chen, Yuliang;Xue, Jianyang
    • Steel and Composite Structures
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    • 제20권2호
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    • pp.295-316
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    • 2016
  • This paper presents the results of experimental investigation, numerical calculation and theoretical analysis on axial compression ratio limit values for steel reinforced concrete (SRC) special shaped columns. 17 specimens were firstly intensively carried out to investigate the hysteretic behavior of SRC special shaped columns subjected to a constant axial load and cyclic reversed loads. Two theories were used to calculate the limits of axial compression ratio for all the specimens, including the balanced failure theory and superposition theory. It was found that the results of balanced failure theory by numerical integration method cannot conform the reality of test results, while the calculation results by employing the superposition theory can agree well with the test results. On the basis of superposition theory, the design limit values of axial compression ratio under different seismic grades were proposed for SRC special shaped columns.

인지적 관점에서의 모티베이션 이론에 관한 연구 (A Study on the Motivation Theory In the Point of Cognitive Views)

  • 이영식;신승국
    • 산업경영시스템학회지
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    • 제10권16호
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    • pp.173-182
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    • 1987
  • Motivation models based on the Psychology have contributed to Predict and understand individual behaviors. During the many period, a various type of motivation models have been experimented by the researchers(i.e., need theory that is the first theory in motivation and equity theory, expectancy theory, reinforcement theory, and goal-setting theory centered on cognitive mechanisms). This article's objectives is to analyze motivation models mentioned above in the point of cognitive views (cognitive processes and cognitive mechanisms). Accordingly, the article's structure is consisted of five parts as follows. Part 1. Introduction. Part 2. The theoritical backgrounds of motivation. Part 3. The major theories of motivation. Part 4. The cognitive analysis of motivation theories. Part 5. Conclusion.

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Bending response of functionally graded piezoelectric plates using a two-variable shear deformation theory

  • Zenkour, Ashraf M.;Hafed, Zahra S.
    • Advances in aircraft and spacecraft science
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    • 제7권2호
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    • pp.115-134
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    • 2020
  • This paper proposes a bending analysis for a functionally graded piezoelectric (FGP) plate through utilizing a two-variable shear deformation plate theory under simply-supported edge conditions. The number of unknown functions used in this theory is only four. The electric potential distribution is assumed to be a combination of a cosine function along the cartesian coordinate. Applying the analytical solutions of FGP plate by using Navier's approach and the principle of virtual work, the equilibrium equations are derived. The paper also discusses thoroughly the impact of applied electric voltage, plate's aspect ratio, thickness ratio and inhomogeneity parameter. Results are compared with the analytical solution obtained by classical plate theory, first-order-shear deformation theory, higher-order shear deformation plate theories and quasi-three-dimensional sinusoidal shear deformation plate theory.

Approximate Nonrandom Two-Fluid Lattice-Hole Theory. General Derivation and Description of Pure Fluids

  • 유기풍;신훈용;이철수
    • Bulletin of the Korean Chemical Society
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    • 제18권9호
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    • pp.965-972
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    • 1997
  • An approximate molecular theory of classical fluids based on the nonrandom lattice statistical-mechanical theory is presented. To obtain configurational Helmholtz free energy and equation of state (EOS), the lattice-hole theory of the Guggenheim combinatorics is approximated by introducing the nonrandom two-fluid theory. The approximate nature in the derivation makes the model possible to unify the classical lattice-hole theory and to describe correctly the configurational properties of real fluids including macromolecules. The theory requires only two molecular parameters for a pure fluid. Results obtained to date have demonstrated that the model correlates quantitatively the first- and second-order thermodynamic properties of real fluids. The basic simplicity of the model can readily be generalized to multicomponent systems. The model is especially relevant to (multi) phase equilibria of systems containing molecularly complex species.

On the stability of isotropic and composite thick plates

  • Mahmoud, S.R.;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제33권4호
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    • pp.551-568
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    • 2019
  • This proposed project presents the bi-axial and uni-axial stability behavior of laminated composite plates based on an original three variable "refined" plate theory. The important "novelty" of this theory is that besides the inclusion of a cubic distribution of transverse shear deformations across the thickness of the structure, it treats only three variables such as conventional plate theory (CPT) instead five as in the well-known theory of "first shear deformation" (FSDT) and theory of "higher order shear deformation" (HSDT). A "shear correction coefficient" is therefore not employed in the current formulation. The computed results are compared with those of the CPT, FSDT and exact 3D elasticity theory. Good agreement is demonstrated and proved for the present results with those of "HSDT" and elasticity theory.

Buckling of porosity-dependent bi-directional FG nanotube using numerical method

  • Wang, Haiquan;Zandi, Yousef;Gholizadeh, Morteza;Issakhov, Alibek
    • Advances in nano research
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    • 제10권5호
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    • pp.493-507
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    • 2021
  • This article focused on studying the buckling behavior of two-dimensional functionally graded (2D-FG) nanosize tubes, including porosity based on first shear deformation and higher-order theory of tube. The nano-scale tube is simulated based on the nonlocal gradient strain theory, and the general equations and boundary conditions are derived using Hamilton's principle for the Zhang-Fu's tube model (as higher-order theory) and Timoshenko beam theory. Finally, the derived equations are solved using a numerical method for both simply-supported and clamped boundary conditions. The parametric study is performed to study the effects of different parameters such as axial and radial FG power indexes, porosity parameter, nonlocal gradient strain parameters on the buckling behavior of di-dimensional functionally graded porous tube.

Intelligent computer modeling of large amplitude behavior of FG inhomogeneous nanotubes

  • Wu, Xiongwei;Fang, Ting
    • Advances in nano research
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    • 제12권6호
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    • pp.617-627
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    • 2022
  • In the current study, the nonlinear impact of the Von-Kármán theory on the vibrational response of nonhomogeneous structures of functionally graded (FG) nano-scale tubes is investigated according to the nonlocal theory of strain gradient theory as well as high-order Reddy beam theory. The inhomogeneous distributions of temperature-dependent material consist of ceramic and metal phases in the radial direction of the tube structure, in which the thermal stresses are applied due to the temperature change in the thickness of the pipe structure. The general motion equations are derived based on the Hamilton principle, and eventually, the acquired equations are solved and modeled by the Meshless approach as well as a computer simulation via intelligent mathematical methodology. The attained results are helpful to dissect the stability of the MEMS and NEMS.

THE INDEX FOR A TOPOLOGICAL DEGREE THEORY FOR DENSELY DENIED OPERATORS OF TYPE ${S_+}_O,L$ IN BANACH SPACES

  • Kartsatos, Athanassios G.;Skrypnik, Igor V.
    • 대한수학회지
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    • 제37권6호
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    • pp.901-913
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    • 2000
  • This is a summary of results involving the development of a theory of an index of an isolated critical point for densely defined nonlinear operators of type (S(sub)+)(sub)0,L. This index theory is associated with a degree theory, for such operators, whch has been recently developed by the authors.

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HAMILTONIAN SYSTEM WITH THE SUPERQUADRATIC NONLINEARITY AND THE LIMIT RELATIVE CATEGORY THEORY

  • Jung, Tacksun;Choi, Q-Heung
    • Korean Journal of Mathematics
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    • 제22권3호
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    • pp.471-489
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    • 2014
  • We investigate the number of the weak periodic solutions for the bifurcation problem of the Hamiltonian system with the superquadratic nonlinearity. We get one theorem which shows the existence of at least two weak periodic solutions for this system. We obtain this result by using variational method, critical point theory induced from the limit relative category theory.