• Title, Summary, Keyword: Inhomogeneous

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Numerical modeling of defects nucleation in the liquid crystal devices with inhomogeneous surface (액정 디스플레이 소자 내에서의 불균일한 표면에 의한 결점의 발생과 모델링)

  • Lee Gi-dong;Kang Bongsoon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.9 no.8
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    • pp.1793-1798
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    • 2005
  • We model the nucleation and motion of defects in the liquid crystal display device with inhomogeneous surface by using fast Q-tensor method, which can calculate scalar order parameter S and nucleation of the defect in the liquid crystal director field. In order to model the defect, homeotropic aligned liquid crystal cell with step inhomogeneous electrode which has a height of $1{\mu}m$ is used. From the simulation, we can observe the nucleation and line of the defect from surface inhomogeneity and the experiment is performed for confirmation.

On the analysis of delamination in multilayered inhomogeneous rods under torsion

  • Rizov, Victor I.
    • Coupled systems mechanics
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    • v.8 no.5
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    • pp.377-391
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    • 2019
  • The present paper is focused on analyzing the delamination of inhomogeneous multilayered rods of circular cross-section loaded in torsion. The rods are made of concentric longitudinal layers of individual thickness and material properties. A delamination crack is located arbitrary between layers. Thus, the internal and external crack arms have circular and ring-shaped cross-sections, respectively. The layers exhibit continuous material inhomogeneity in radial direction. Besides, the material has non-linear elastic behavior. The delamination is analyzed in terms of the strain energy release rate. General solution to the strain energy release rate is derived by considering the energy balance. The solution is applied to analyze the delamination of cantilever rod. For verification, the strain energy release rate is derived also by considering the complementary strain energy.

STEADY-STATE TEMPERATURE ANALYSIS TO 2D ELASTICITY AND THERMO-ELASTICITY PROBLEMS FOR INHOMOGENEOUS SOLIDS IN HALF-PLANE

  • GHADLE, KIRTIWANT P.;ADHE, ABHIJEET B.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.24 no.1
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    • pp.93-102
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    • 2020
  • The concept of temperature distribution in inhomogeneous semi-infinite solids is examined by making use of direct integration method. The analysis is done on the solution of the in-plane steady state heat conduction problem under certain boundary conditions. The method of direct integration has been employed, which is then reduced to Volterra integral equation of second kind, produces the explicit form analytical solution. Using resolvent- kernel algorithm, the governing equation is solved to get present solution. The temperature distribution obtained and calculated numerically and the relation with distribution of heat flux generated by internal heat source is shown graphically.

Investigation of two parallel lengthwise cracks in an inhomogeneous beam of varying thickness

  • Rizov, Victor I.
    • Coupled systems mechanics
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    • v.9 no.4
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    • pp.381-396
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    • 2020
  • Analytical investigation of the fracture of inhomogeneous beam with two parallel lengthwise cracks is performed. The thickness of the beam varies continuously along the beam length. The beam is loaded in three-point bending. Two beam configurations with different lengths of the cracks are analyzed. The two cracks are located arbitrary along the thickness of the beam. Solutions to the strain energy release rate are derived assuming that the material has non-linear elastic mechanical behavior. Besides, the beam exhibits continuous material inhomogeneity along its thickness. The balance of the energy is analyzed in order to derive the strain energy release rate. Verifications of the solutions are carried-out by considering the complementary strain energy stored in the beam configurations. The influence of the continuous variation of the thickness along the beam length on the lengthwise fracture behavior is investigated. The dependence of the lengthwise fracture on the lengths of the two parallel cracks is also studied.

On a Symbolic Method for Fully Inhomogeneous Boundary Value Problems

  • Thota, Srinivasarao
    • Kyungpook Mathematical Journal
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    • v.59 no.1
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    • pp.13-22
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    • 2019
  • This paper presents a symbolic method for solving a boundary value problem with inhomogeneous Stieltjes boundary conditions over integro-differential algebras. The proposed symbolic method includes computing the Green's operator as well as the Green's function of the given problem. Examples are presented to illustrate the proposed symbolic method.

Inhomogeneous Poisson Intensity Estimation via Information Projections onto Wavelet Subspaces

  • Kim, Woo-Chul;Koo, Ja-Yong
    • Journal of the Korean Statistical Society
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    • v.31 no.3
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    • pp.343-357
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    • 2002
  • This paper proposes a method for producing smooth and positive estimates of the intensity function of an inhomogeneous Poisson process based on the shrinkage of wavelet coefficients of the observed counts. The information projection is used in conjunction with the level-dependent thresholds to yield smooth and positive estimates. This work is motivated by and demonstrated within the context of a problem involving gamma-ray burst data in astronomy. Simulation results are also presented in order to show the performance of the information projection estimators.

An analysis of elastic wave propagation in inhomogeneous solids using the Fourier method (Fourier 방법을 이용한 불균일 고체의 탄성파전달해석)

  • 김현실
    • Proceedings of the Acoustical Society of Korea Conference
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    • pp.327-330
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    • 1998
  • Wave propagation in inhomogeneous elastic media is studied by using the Fourier method, where the spatial derivatives are computed by the FFT algorithm, while the time derivatives are expanded into the second order finite different expansion. For numerical examples, wave propagation in the layered half-plane are investigated. The comparisons of numerical and analytic results shows good agreement.

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Fluid Particle Dispersion in a Turbulent Channel Flow (난류 채널 유동에서의 유체 입자 분산)

  • Choi Jung-Il;Lee Changhoon
    • Proceedings of the KSME Conference
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    • pp.803-806
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    • 2002
  • The dispersion of Lagrangian fluid particles in a turbulent channel flow is studied by a direct numerical simulation. Four points Hermite interpolation in the homogeneous direction and Chebyshev polynomials in the inhomogeneous direction is adopted by assesing the acceleration of fluid particles. In order to characterize the inhomogeneous Lagrangian statistics, accurate single particle Lagrangian statistics are obtained along the wall normal direction. Integral time scales of Lagrangian velocity can be normalized by Eulerian mean shear stresses.

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Inhomogeneous Rolling Texture of Multilayered Aluminum Sheet (다층압연된 알루미늄의 불균질압연집합조직)

  • Choi, Chang-Hee;Hong, Seung-Hyun;Kwon, Jae-Wook;Oh, Kyu-Hwan;Lee, Dong-Nyung
    • Transactions of Materials Processing
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    • v.4 no.4
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    • pp.353-364
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    • 1995
  • An inhomogeneous rolling texture of high purity aluminum has been observed by a multilayered rolling. The shear texture of (100)[110] component developed in the surface layer, and the copper type rolling texture developed in the middle and center layers. The through-thickness texture variation has been calculated by the full-constraint Taylor model combined with FEM. The calculated results are in good agreement with the measured data.

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PENALIZED NAVIER-STOKES EQUATIONS WITH INHOMOGENEOUS BOUNDARY CONDITIONS

  • Kim, Hongchul
    • Korean Journal of Mathematics
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    • v.4 no.2
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    • pp.179-193
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    • 1996
  • This paper is concerned with the penalized stationary incompressible Navier-Stokes system with the inhomogeneous Dirichlet boundary condition on the part of the boundary. By taking a generalized velocity space on which the homogeneous essential boundary condition is imposed and corresponding trace space on the boundary, we pose the system to the weak form which the stress force is involved. We show the existence and convergence of the penalized system in the regular branch by extending the div-stability condition.

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