• Nuclear Engineering and Technology
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• v.41 no.8
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• pp.1109-1114
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• 2009

The evolution of a high burnup structure (HBS) in a light water reactor (LWR) $UO_2$ fuel was simulated using the Potts model. A simulation system for the Potts model was defined as a two-dimensional triangular lattice, for which the stored energy was calculated from both the irradiation damage of the $UO_2$ matrix and the formation of a grain boundary in the newly recrystallized small HBS grains. In the simulation, the evolution probability of the HBS is calculated by the system energy difference between before and after the Monte Carlo simulation step. The simulated local threshold burnup for the HBS formation was 62 MWd/kgU, consistent with the observed threshold burnup range of 60-80 MWd/kgU. The simulation revealed that the HBS was heterogeneously nucleated on the intergranular bubbles in the proximity of the threshold burnup and then additionally on the intragranular bubbles for a burnup above 86 MWd/kgU. In addition, the simulation carried out under a condition of no bubbles indicated that the bubbles played an important role in lowering the threshold burnup for the HBS formation, thereby enabling the HBS to be observed in the burnup range of conventional high burnup fuels.

• Proceeding of EDISON Challenge
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• 2017.03a
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• pp.82-94
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• 2017

본 연구에서는 고분자의 해밀토니안을 Q-state Potts-Model로 근사하여, 2, 3차원 형태의 선형 고분자 시스템을 모사하고자 한다. 고분자 외부에서 힘이 작용하고 있는 경우와 아닌 경우에 대하여 전산모사 결과를 바탕으로 고분자의 크기의 경향성을 확인하였다. 그 결과, 흔히 사용되는 Flory's Theory와 달리 고분자의 대표적인 특성인 지수(exponent)에 대하여 더 유동적인 관계식을 얻어낼 수가 있었다. 이를 바탕으로, 고분자에서 흔히 사용되고 있는 scaling argument가 잘 적용되는지를 확인해보았으며, 그 결과 일부의 경우에서만 성립함을 확인할 수 있었다.

• Journal of the Korean Ceramic Society
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• v.53 no.3
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• pp.288-294
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• 2016

The densification process during liquid-phase sintering was simulated by Monte Carlo simulation. The Potts model, which had been applied to coarsening during liquid-phase sintering, was modified to include vapor particles. The results of two- and threedimensional simulations showed a temporal decrease in porosity, in other words, densification, and an increase in the average size of pores. The results also showed growth of solid grains and the effect of wetting angle on microstructure.

• Journal of the Korean Data and Information Science Society
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• v.20 no.1
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• pp.225-235
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• 2009

Lattice process models are used to explain phase transitions in statistical mechanics, a branch of physics. The Ising model, a specific form of lattice process model, was proposed by Ising in 1925. Since then, variants of the Ising model such as the Potts model and the unitary cell model have been proposed. Like the Ising model, it is believed that the more general models exhibit phase transitions on the critical surface, which is based on the mathematical equation. In statistical sense, phase transitions can be simulated through Markov Chain Monte Carlo (MCMC). We applied Swendsen-Wang algorithm, a block Gibbs algorithm, to a general lattice process models and we simulate phase transition phenomena of the unitary cell model.

• Journal of the Korean Geotechnical Society
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• v.17 no.1
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• pp.131-139
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• 2001

화강토와 관련된 지반문제의 거동예측을 위한 수치해석의 적용이 양적인 면에서는 많이 확대되어왔지만 해석결과에 지대한 영향을 미치는 구성방정식 등 수치해석 모델링을 개선하고자 하는 노력은 부족하였다. 화강토 거동의 특징은 내재적 결합력으로 인한 구조화의 거동을 나타내는 것이며, 항복면이 평균유효응력 축에 대칭이고 Non-associated 소성거동을 보인다는 점이다. 본 연구에서는 이러한 화강토 거동을 표현하기 위하여 일반화된 한계상태모델을 도입하고, 이를 화강토의 경화거동 모델링이 가능하도록 확장하였다. 제안된 모델을 이용한 삼축시험의 유한요소 시뮬레이션 결과는 측정결과와 좋은 일치를 보였다. 화강토 지반내 터널에 대한 유한요소해석을 수행한 결과, 비선형 탄성모델과 조합된 확장된 한계상태모델이 현장계측결과와 잘 일치하는 결과를 주었다.

• Journal of the Korean Ceramic Society
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• v.43 no.4 s.287
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• pp.213-219
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• 2006

A Monte Carlo simulation based on Potts model in a three dimensional lattice was studied to analyze and design microstructures in porous sintered compacts such as porosity, pore size, grain (particle) size and contiguity of grains. The effect of surface energy of particles and the content of additional fine particles to coarse particles on microstructure development were examined to obtain fundamentals for material design in porous materials. It has been found that the larger surface energy enhances sintering (necking) of particles and increases contiguity and surface energy does not change pore size and grain size. The addition of fine particles also enhances sintering of particles and increases contiguity, but it has an effect on increment of pore size and grain size. Such a simulation technique can give us important information or wisdom for design of porous materials, e.g., material system with high surface energy and fine particle audition are available for higher strength and larger porosity in porous sintered compacts with applications in an automobile.