• Bulletin of the Korean Chemical Society
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• 제32권7호
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• pp.2237-2242
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• 2011

Anomalous scaling behaviors such as significantly large growth exponent (${\beta}$) and small reciprocal of dynamic exponent (1/z) values for many molecular crystalline thin films have been reported. In this study, the variation of scaling exponent values and consequent growth behaviors of molecular thin films were more quantitatively analysed using a (1+1)-dimensional surface lateral diffusion model. From these simulations, influence of step edge barriers and grain boundaries of molecular thin films on the various scaling exponent values were elucidated. The simulation results for the scaling exponents were also well consistent with the experimental data for previously reported molecular thin film systems.

• 대한수학회지
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• 제49권6호
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• pp.1123-1138
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• 2012

We study some anisotropic boundary value problems involving variable exponent growth conditions and we establish the existence and multiplicity of weak solutions by using as main argument critical point theory.

• 대한수학회보
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• 제40권2호
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• pp.235-241
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• 2003

It is proved that the product of any two linearly independent meromorphic solutions of second order linear differential equations with coefficients of small lower growth must have infinite exponent of convergence of its zero-sequences, under some suitable conditions.

• 대한기계학회논문집A
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• 제36권7호
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• pp.713-721
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• 2012

피로균열성장을 유한요소 시뮬레이션하였다. 인장시험으로 얻는 기계적 성질만을 사용하여 피로균열성장거동을 예측하려고 하였다. 유한요소해석 결과 균열선단 부근 절점의 변위의 변화를 살펴 임계균열개구변위를 결정하였다. 균열선단 절점을 분리하여 균열성장을 시뮬레이션하였다. Paris 법칙의 지수를 결정하여 이미 발표된 값과 비교하였다. 균열닫힘을 고려한 유효 응력확대계수에 관하여 그렸을 때 더 일관성이 있는 결과를 얻었다.

• Asian Journal of Atmospheric Environment
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• 제6권4호
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• pp.304-313
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• 2012

In this study, the ${\AA}$ngstrom exponent for polydispersed aerosol during dynamic processes was investigated. Log-normal aerosol size distribution was assumed, and a sensitivity analysis of the ${\AA}$ngstrom exponent with regards the coagulation and condensation process was performed. The ${\AA}$ngstrom exponent is expected to decrease because of the particle growth due to coagulation and condensation. However, it is difficult to quantify the degree of change. In order to understand quantitatively the change in the ${\AA}$ngstrom exponent during coagulation and condensation, different real and imaginary parts of the refractive index were considered. The results show that the ${\AA}$ngstrom exponent is sensitive to changes in size distribution and refractive index. The total number concentration decreases and the geometric mean diameter of aerosols increase during coagulation. On the while, the geometric standard deviation approaches monodispersed size distribution during the condensation process, and this change in size distribution affects the ${\AA}$ngstrom exponent. The degree of change in the ${\AA}$ngstrom exponent depends on the refractive index and initial size distribution, and the size parameter changes with the ${\AA}$ngstrom exponent for a given refractive index or chemical composition; this indicates that the size distribution plays an important role in determining the ${\AA}$ngstrom exponent as well as the chemical composition. Subsequently, this study shows how the ${\AA}$ngstrom exponent changes quantitatively during the aerosol dynamics processes for a log-normal aerosol size distribution for different refractive indices; the results showed good agreement with the results for simple analytic size distribution solutions.

• 대한수학회논문집
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• 제35권1호
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• pp.229-241
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• 2020

For a second order linear differential equation f" + A(z)f' + B(z)f = 0, with A(z) and B(z) being transcendental entire functions under some restrictions, we have established that all non-trivial solutions are of infinite order. In addition, we have proved that these solutions, with a condition, have exponent of convergence of zeros equal to infinity. Also, we have extended these results to higher order linear differential equations.

• 한국세라믹학회지
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• 제35권4호
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• pp.347-354
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• 1998

Densification and grain growth behaviors of ITO ceramics were investigated as a function of TiO2 ad-ditions. TiO2 addition led to inhibition of the grain growth and promotion of the densification of ITO ceram-ics. From the microstructure observation it was found that the crack-like voids which were formed in pure ITO specimens decreased with increase of TiO2 additon. The grain growth exponent(n) was measur-ed to be 4 for pure ITO 3 for TiO2-doped ITO specimens respectively. It was supposed that the grain boun-dary migration of pure ITO ceramics was controlled by the pores which were moved by surface diffusion. On the contrary the grain boundary migration of TiO2-doped ITO specimens was depressed by solute drag effect. The activation energies for grain growth were measured to be 1013 kJ/mol for pure ITO ceramics and 460kJ/mol for TiO2-doped ITO specimens respectively.

• 대한기계학회논문집A
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• 제35권4호
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• pp.375-381
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• 2011

본 연구의 주목적은 마그네슘합금의 피로균열성장거동을 지배하는 파라미터들의 확률론적 특성을 규명하는 것이다. 피로균열전파실험은 AZ31 마그네슘합금의 CT 시편을 이용하여 통계적으로 수행하였으며, 시편두께, 하중비, 최대하중 등의 여러 가지 실험조건으로 실온에서 진행하였다. 이 실험을 통하여 획득한 통계적 피로 데이터를 이용하여 피로거동 파라미터의 확률적 변동성 해석과 함께 확률분포 적합성을 고찰하였다. 균열성장속도계수는 확률적으로 매우 큰 변동성을 나타내는 파라미터로 밝혀졌으며, 반면에 균열성장속도지수는 매우 작은 변동성을 나타냄으로써 재료상수로 볼 수 있을 것이다. 피로거동 파라미터인 균열성장속도계수와 균열성장속도지수에 가장 적합한 확률분포는 3-파라미터 Weibull 분포이며, 2-파라미터 Weibull 분포는 균열성장속도계수의 경우에만 양호한 적합성을 나타낸다는 것을 규명하였다.

• 한국지하수토양환경학회:학술대회논문집
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• 한국지하수토양환경학회 2001년도 총회 및 춘계학술발표회
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• pp.73-76
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• 2001

We have simulated the effect of fracture characteristics on reduction of effective permeability of the fractured rocks due to in-situ bacteria growth. A nutrient is injected continuously for growth of in-situ bacteria. We used a power law for fracture length distribution and a fBm for fracture aperture spatial distribution. The results show that in-situ bacteria growth reduces the Permeability hyperbolically, but the porosity of backbone fracture does not change significantly. It shows that reduction of the permeability proceeds at faster speed for smaller value of length exponent(a) and for larger value of Hurst exponent(H). The fracture length distribution has stronger effect on speed of reduction than the aperture spatial distribution. The time needed to reduce permeability is inversely proportional to the hydraulic gradient.

• Journal of Welding and Joining
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• 제24권4호
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• pp.39-49
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• 2006

The austenite grain growth model in low alloyed steel HAZ without precipitates was proposed by analyzing isothermal grain growth behavior. Steels used in this study were designed to investigate the effect of alloying elements. Meanwhile, a systematic procedure was proposed to prevent inappropriate neglect of initial grain size (D0) and misreading both time exponent and activation energy for isothermal grain growth. It was found that the time exponent was almost constant, irrespectively of temperature and alloying elements, and activation energy increased with the addition of alloying elements. From quantification of the effect of alloying elements on the activation energy, an isothermal grain growth model was presented. Finally, combining with the additivity rule, the austenite grain size in the CGHAZ was predicted.