• Title/Summary/Keyword: Homogeneous Solution

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Calculation of dynamic stress intensity factors and T-stress using an improved SBFEM

  • Tian, Xinran;Du, Chengbin;Dai, Shangqiu;Chen, Denghong
    • Structural Engineering and Mechanics
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    • v.66 no.5
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    • pp.649-663
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    • 2018
  • The scaled boundary finite element method is extended to evaluate the dynamic stress intensity factors and T-stress with a numerical procedure based on the improved continued-fraction. The improved continued-fraction approach for the dynamic stiffness matrix is introduced to represent the inertial effect at high frequencies, which leads to numerically better conditioned matrices. After separating the singular stress term from other high order terms, the internal displacements can be obtained by numerical integration and no mesh refinement is needed around the crack tip. The condition numbers of coefficient matrix of the improved method are much smaller than that of the original method, which shows that the improved algorithm can obtain well-conditioned coefficient matrices, and the efficiency of the solution process and its stability can be significantly improved. Several numerical examples are presented to demonstrate the increased robustness and efficiency of the proposed method in both homogeneous and bimaterial crack problems.

BLOW-UP FOR A NON-NEWTON POLYTROPIC FILTRATION SYSTEM WITH NONLINEAR NONLOCAL SOURCE

  • Zhou, Jun;Mu, Chunlai
    • Communications of the Korean Mathematical Society
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    • v.23 no.4
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    • pp.529-540
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    • 2008
  • This paper deals the global existence and blow-up properties of the following non-Newton polytropic filtration system, $${u_t}-{\triangle}_{m,p}u=u^{{\alpha}_1}\;{\int}_{\Omega}\;{\upsilon}^{{\beta}_1}\;(x,\;t)dx,\;{\upsilon}_t-{\triangle}_{n,p}{\upsilon}={\upsilon}^{{\alpha}_2}\;{\int}_{\Omega}\;u^{{\beta}_2}\;(x,{\;}t)dx,$$ with homogeneous Dirichlet boundary condition. Under appropriate hypotheses, we prove that the solution either exists globally or blows up in finite time depends on the initial data and the relations of the parameters in the system.

Effect of $ZrO_2$ Addition on the Synthesis and Microwave Dielectric Properties of $Ba_2Ti_9O_{20}$ Fabricated by Oxalate method (수산염법에 의한 $Ba_2Ti_9O_{20}$의 합성과 유전특성에 미치는 $ZrO_2$ 첨가의 영향)

  • 박재원;이헌식;이병하
    • Journal of the Korean Ceramic Society
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    • v.31 no.8
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    • pp.835-840
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    • 1994
  • In this study, the synthesis of Ba2Ti9O20 powder having chemically homogeneous and highly pure fine particle size distribution was attempted by the oxalate method. And the effects of ZrO2 addition was investigated. The four compositions (X=0, 0.028, 0.048, 0.068) of Ba2(Ti9-x, Zrx)O20 were prepared by precipitation reaction of BaCl2, TiCl4, and ZrOCl2, with oxalic acid and NH4OH acting as a precipitating agent and a pH regulator respectively, in aqueous solution. In case of 4.8 mol% ZrO2 addition, the single phase Ba2Ti9O20 was obtained at 120$0^{\circ}C$ and its dielectric properties was excellent showing K=40.5, Q=4621 at 5.4 GHz.

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Dielectric Properties of $BaTiO_3-SrTiO_3$ System ($BaTiO_3-SrTiO_3$ 계의 유전성)

  • 윤기현;이남양;조경화
    • Journal of the Korean Ceramic Society
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    • v.21 no.4
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    • pp.341-348
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    • 1984
  • $BaTiO_3$ and $SrTiO_3$ were mixed with the mole ratio of 35:65, 50:50 and 65:35 and heated at 1100~120$0^{\circ}C$ for 1~64 hours. The dielectrics of $BaTiO_3$-$SrTiO_3$ system were investigated as a function of amount of solid solution formed. The dielectric constant was increased and Curie temperature was shifted to higher temperature with increasing of heating of soaking time for the same composition and heating temperature. This can be explained by the homogeneous distribution of $Ba^{2+}$ and $Sr^{2+}$ ion in the $BaTiO_3$ system. The Curie temperature was shifted to lower temperature with increasing $SrTiO_3$ in the $BaTiO_3$-$SrTiO_3$system because of decreasing the lattice constant.

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Interaction Analysis of Small Molecules with Polymers( I ) - Interaction between Poly(vinyl pyrrolidone) and Methylene Blue in Homogeneous Systems- (고분자와 저분자의 상호작용의 해석 ( I ) -균일수용액계에서의 Poly(vinyl pyrrolidone)과 Methylene Blue의 상호작용-)

  • 박수민;김문식;유정문
    • Textile Coloration and Finishing
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    • v.5 no.3
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    • pp.182-187
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    • 1993
  • The binding isotherms of Methylene Blue with Poly(vinyl pyrrolidone) (PVP) were determined in a Mcllvaine buffer of pH 8.0 at 3$0^{\circ}C$ by a dynamic dialysis methods. The isotherms showed a partition binding which was increase linearly with the increase of free dye concentration in solution. The Scatchard plots for Poly(vinyl pyrrolidone)-Methylene Blue gave a constant value. The results were interpreted by the McGhee and von Hippel theory considering non-cooperative binding. The intrinsic binding constant k, for Poly(vinyl pyrrolidone)-Methylene Blue was 6.02$\ell$/base mol.

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Stress and Displacement Fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along Y Direction (Y방향을 따라 물성치구배를 갖는 직교이방성 함수구배 재료에서 전파하는 모드 III 균열의 응력장과 변위장)

  • Lee, Kwang-Ho
    • Journal of the Korean Society of Industry Convergence
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    • v.9 no.1
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    • pp.37-44
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    • 2006
  • Stress and displacement fields of a Mode III crack propagating along the normal to gradient in an orthotropic functionally gradient materials (OFGM), which has (1) an exponential variation of shear modulus and density, and (2) linear variation of shear modulus with a constant density, are derived. The equations of motion in OFGM are developed and solution to the displacement and stress fields for a propagating crack at constant speed though an asymptotic analysis. The first three terms in expansion of stress and displacement are derived to explicitly bring out the influence of nonhomogeneity. When the FGM constant ${\zeta}$ is zero or $r{\rightarrow}0$, the fields for OFGM are almost same as the those for homogeneous orthotropic material. Using the stress components, the effects of nonhomogeneity on stress components are discussed.

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Damping due to Radiation Loss for Axial Vibration of the Pipe in a Fluid-filled Borehole (유체로 채워진 보어홀 속의 파이프 종진동에 있어서 방사손실에 의한 감쇠)

  • 이현엽;류황진
    • Journal of KSNVE
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    • v.7 no.4
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    • pp.631-636
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    • 1997
  • A method to estimate the radiatio power to the surrounding formation due to axial vibration of the pipe in a fluid-filled borehole has been developed, by using the propagation modes of stress wave in an infinitely-long and uniform drilling borehole surrounded by a radially-infinite homogeneous formation. Also, the equivalent damping coefficient for the axial vibration of the pipe has been derived. As an example, results for a real drilling borehole has been presented. The analysis of the elastic motion of the infinite formation which has cylidrical cavity is simplified with the geometric axisymmetry and the low-frequency assumption so that the analytic solution is obtained.

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Optimizing Concurrent Spare Parts Inventory Levels for Warships Under Dynamic Conditions

  • Moon, Seongmin;Lee, Jinho
    • Industrial Engineering and Management Systems
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    • v.16 no.1
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    • pp.52-63
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    • 2017
  • The inventory level of concurrent spare parts (CSP) has a significant impact on the availability of a weapon system. A failure rate function might be of particular importance in deciding the CSP inventory level. We developed a CSP optimization model which provides a compromise between purchase costs and shortage costs on the basis of the Weibull and the exponential failure rate functions, assuming that a failure occurs according to the (non-) homogeneous Poisson process. Computational experiments using the data obtained from the Korean Navy identified that, throughout the initial provisioning period, the optimization model using the exponential failure rate tended to overestimate the optimal CSP level, leading to higher purchase costs than the one using the Weibull failure rate. A Pareto optimality was conducted to find an optimal combination of these two failure rate functions as input parameters to the model, and this provides a practical solution for logistics managers.

On Properties and Synthesis of Nanostructured W-Cu Alloys by Mechanical Alloying(I) (기계적합금화 방법에 의한 Nanostructured W-Cu 합금의 제조 및 물성연구(I))

  • 김진천
    • Journal of Powder Materials
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    • v.4 no.2
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    • pp.122-132
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    • 1997
  • Nanostructured(NS) W-Cu composite powders of about 20~30 nm grain size were synthesized by mechanical alloying. The properties of NS W-Cu powder and its sintering behavior were investigated. It was shown from X-ray diffraction and TEM analysis that the supersaturated solid solution of Cu in W was not formed by the mechanical alloying of mixed elemental powders, but the mixture of W and Cu particles with nanosize grains, i.e., the nanocomposite powder was attained. Nanocomposite W-20wt%Cu and W-30wt%Cu powders milled for 100 h were sintered to the relative density more than 96% and 98%, respectively, by sintering at 110$0^{\circ}C$ for 1 h in $H_2$. Such a high sinterability was attributed to the high homogeneous mixing and ultra-fine structure of W and Cu phases as well as activated sintering effect by impurity metal introduced during milling.

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Nonlinear Magnetosonic Wave Propagation in the Magnetosphere

  • Kim, Kyung-Im;Kim, Sungsoo S.;Lee, Dong-Hun;Kim, Kihong
    • Bulletin of the Korean Space Science Society
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    • 2004.04a
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    • pp.84-84
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    • 2004
  • Using a one-dimensional MHD code of Total Variation Diminishing (TVD) scheme, we perform simulations of propagation of nonlinear magnetosonic waves. A magnetosonic wave is a longitudinal wave propagating perpendicularly to the magnetic field lines, and involves compression and rarefaction of the magnetic field lines and the plasma. We first confirm the theoretical solution of Lee and Kim (2000) for the evolution of nonlinear magnetosonic waves in the homogeneous space. (omitted)

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