• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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• pp.157-164
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• 1998

An elasto-plastic stochastic finite element method is developed to evaluate the probability of failure of the underground structure. The Mohr-Coulomb failure criteria is adopted for yield condition. The material properties such as the elastic modulus and the cohesion are assumed to be statistically independent random variables which are modeled as spatial stochastic fields. The displacements around the excavated area and the probability of the failure are examined by varying the coefficient of variance for each variables. It is found that the developed procedure can provide the proper probabilistic information about the failure of the underground structure

• 한국세라믹학회지
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• 제42권5호
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• pp.359-365
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• 2005

Silicon nitride coating films with various ratios of nitrogen to silicon contents were prepared and characterized. The film was coated on silicon substrate by sputtering method with changing nitrogen gas flow rate in a chamber. The nitrogen to silicon ratio was found to have values in a range from 0 to 1.4. Coated film was characterized with scanning electron microscopy, transmission electron microscopy, electron probe microanalysis, nanoindentation scanning probe microscopy, x-ray photon spectrometry, and Raman spectrometry. Silicon nitride phase in all samples showed amorphous nature regardless of N/Si ratio. When N/Si ratio was 1.25, hardness and elastic modulus of silicon nitride film showed maximum with 22 GPa and 210 GPa, respectively. Those values decreased, when N/Si ratio was higher than 1.25. Raman spectrum showed that no silicon phase exist in the film. XPS result showed that the silicon-nitrogen bond was dominant way for atomic bonding in the film. The structure and property was explained with Random Bonding Model(RBM) which was consistent with the microstructure and chemistry analysis for the coating films.

• 한국전산구조공학회논문집
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• 제26권3호
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• pp.191-198
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• 2013

본 논문에서는 반강접을 고려한 프레임 구조에서 강재 탄성계수의 불확실성이 프레임 구조의 비선형거동에 미치는 영향을 분석하였다. 강재 탄성계수의 불확실성의 확률분포는 정규분포로 모델링 하였으며, 이러한 확률적 물성치를 반강접 프레임의 비선형 거동에 적용할 수 있는 해석 프로그램을 개발하였다. 프레임의 비선형 거동 인수인 기하학적 비선형, 재료적 비선형, 그리고 접합부의 반강접에 의한 비선형 효과를 고려하여, Monte Carlo Simulation에 기반한 확률론적 해석을 수행하였다. 확률론적 해석을 위해 확률변수를 세 종류로 생성하여 사용하였다. 확정론적 해석의 결과는 기존의 연구 결과와 잘 일치하는 결과를 보였다. 확률론적 해석의 경우, 변위의 분산계수는 구조에 작용하는 하중이 증가함에 따라 증가하는 결과를 나타냈으며, 그 값은 프레임구조의 구조적 특성에 영향을 받는 것으로 나타났다.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2003년도 가을 학술발표회 논문집
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• pp.219-226
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• 2003

The structures have intrinsic uncertainties in analysis/design parameters contrary to the assumptions of perfect constant over the structural domain. The material and geometrical parameters are the exemplary ones. The influences of uncertainties in Young's modulus, which are the representative random design variables, on the structural response have been the center of focus in the realm of stochastic analysis. In this study, a formulation to obtain the response variability due to the randomness in the Poisson's ratio is given. In that the previous researches in the literature deal with the response variability due mainly to the uncertainty in the elastic modulus, with the results of this research, it can be asserted to obtain the response variability taking into consideration of uncertainties in all the material constants becomes possible.

• 대한기계학회논문집
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• 제6권3호
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• pp.204-210
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• 1982

The mechanical behaviors of an elastic body containing another materials are studied with the statistical method since they are generally distributed at random in size, orientation, and position. As the basis of this research, the size, the shape, and the ratio of volume for another material assumed to be constant, and only the positions of another material are changed randomly. The stress intensity factor, the compliance, and the modulus of elasticity are investigated in two-dimensional state by using the Monte Carlo Method and the Finite Element Method. The methodology of the simulation analysis for the mechanical behavior of such material is also proposed.

• Composites Research
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• 제32권5호
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• pp.270-278
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• 2019

본 연구에서는 섬유, 기지 및 계면으로 구성된 단방향 복합재료의 대표체적요소를 이용해서 가로방향 기계적 물성을 계면 특성 변화에 따라 예측하고 시험결과에 맞춰 계면의 특성의 보정을 실시하였다. 섬유와 기지로 모델링 된 기존의 대표체적요소는 섬유 길이방향 기계적 물성에 대해 예측 정확도가 높으나 가로방향에 대하여 어느 정도의 편차를 보인다. 따라서, 이런 차이를 보완하기 위해 계면 영역을 도입하였고, 계면의 두께, 탄성 물성과 강도 파라미터에 따라 기계적 물성을 보정하여 복합재료 대표체적요소를 통한 예측의 정확도를 향상시켰다. 그 결과, 복합재료 대표체적요소의 길이방향 물성의 정확도는 유지한 채 가로방향 강성 및 강도의 정확도가 향상됨을 확인하였다.

• Earthquakes and Structures
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• 제5권4호
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• pp.439-459
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• 2013

Main objective of the present study is to determine the statistical properties and suitable probability distribution functions of spectral displacements from nonlinear static and nonlinear dynamic analysis within the frame work of Monte Carlo simulation for typical low rise and high rise RC framed buildings located in zone III and zone V and designed as per Indian seismic codes. Probabilistic analysis of spectral displacement is useful for strength assessment and loss estimation. To the author's knowledge, no study is reported in literature on comparison of spectral displacement including the uncertainties in capacity and demand in Indian context. In the present study, uncertainties in capacity of the building is modeled by choosing cross sectional dimensions of beams and columns, density and compressive strength of concrete, yield strength and elastic modulus of steel and, live load as random variables. Uncertainty in demand is modeled by choosing peak ground acceleration (PGA) as a random variable. Nonlinear static analysis (NSA) and nonlinear dynamic analysis (NDA) are carried out for typical low rise and high rise reinforced concrete framed buildings using IDARC 2D computer program with the random sample input parameters. Statistical properties are obtained for spectral displacements corresponding to performance point from NSA and maximum absolute roof displacement from NDA and suitable probability distribution functions viz., normal, Weibull, lognormal are examined for goodness-of-fit. From the hypothesis test for goodness-of-fit, lognormal function is found to be suitable to represent the statistical variation of spectral displacement obtained from NSA and NDA.

• Steel and Composite Structures
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• 제8권2호
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• pp.129-144
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• 2008

This paper demonstrates an application of the perturbation based stochastic finite element method (SFEM) for predicting the performance of structural systems made of composite sections with random material properties. The composite member consists of materials in contact each of which can surround a finite number of inclusions. The perturbation based stochastic finite element analysis can provide probabilistic behavior of a structure, only the first two moments of random variables need to be known, and should therefore be suitable as an alternative to Monte Carlo simulation (MCS) for realizing structural analysis. A summary of stiffness matrix formulation of composite systems and perturbation based stochastic finite element dynamic analysis formulation of structural systems made of composite sections is given. Two numerical examples are presented to illustrate the method. During stochastic analysis, displacements and sectional forces of composite systems are obtained from perturbation and Monte Carlo methods by changing elastic modulus as random variable. The results imply that perturbation based SFEM method gives close results to MCS method and it can be used instead of MCS method, especially, if computational cost is taken into consideration.

• Geomechanics and Engineering
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• 제20권1호
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• pp.19-28
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• 2020

The spatial variability of geotechnical properties can lead to the uncertainty of settlement for frozen soil foundation around the oil pipeline, and it can affect the stability of permafrost foundation. In this paper, the elastic modulus, cohesion, angle of internal friction and poisson ratio are taken as four independent random fields. A stochastic analysis model for the uncertain settlement characteristic of frozen soil foundation around an oil pipeline is presented. The accuracy of the stochastic analysis model is verified by measured data. Considering the different combinations for the coefficient of variation and scale of fluctuation, the influences of spatial variability of geotechnical properties on uncertain settlement are estimated. The results show that the stochastic effects between elastic modulus, cohesion, angle of internal friction and poisson ratio are obviously different. The deformation parameters have a greater influence on stochastic settlement than the strength parameters. The overall variability of settlement reduces with the increase of horizontal scale of fluctuation and vertical scale of fluctuation. These results can improve our understanding of the influences of spatial variability of geotechnical properties on uncertain settlement and provide a theoretical basis for the reliability analysis of pipeline engineering in permafrost regions.

• 한국전산구조공학회논문집
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• 제20권6호
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• pp.789-799
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• 2007

본 논문에서는 구조의 재료물성치와 기하학적 인수의 공간적 불확실성에 의한 구조 응답변화도 산정을 위한 정식화를 제안하였다. 정식화는 추계론적 유한요소해석의 해석법 중의 하나인 가중적분법을 기본으로 하였다. 해석 대상 구조는 전단변형을 포함하는 평판구조로서, 평판구조에 나타날 수 있는 불확실 인수로는 재료적 측면에서는 재료탄성계수와 포아송비가 있으며, 기하학적 인수로는 평판의 두께를 들 수 있다. 선형탄성 영역에서 선형성을 나타내는 재료탄성계수와는 달리 평판의 두께는 3차함수로 강성에 기여하고, 포아송비의 경우 분수의 형태로 강성에 기여하므로 직접적으로는 이를 추계론적 해석에 고려할 수 없다. 따라서 본 연구에서는 적합행렬내의 포아송비를 Taylor전개하여 사용하였다. 제안된 정식화에 의한 결과는 기존 연구결과는 물론 몬테카를로 해석에 의한 결과와도 비교하여 제안한 정식화를 검증하였다.