• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제12권3호
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• pp.153-160
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• 2008

A size-biased Poisson distribution is defined. Its characterization by using a recurrence relation for first order negative moment of the distribution is obtained. Different estimation methods for the parameter of the model are also discussed. R-Software has been used for making a comparison among the three different estimation methods.

• 지질공학
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• 제6권2호
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• pp.103-110
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• 1996

본 연구는 의성 소분지에 분포하는 백악기 사암과 셰일을 대상으로 압력에 따른 포아송비의 변화를 구명(究明)한 것이다. 역학적 시험을 실시하기 위하여, 직경 30.0Cm, 길이 6.2Cm인 시료를 사용하여 응력/변형률 시험을 하였다. 시험에 사용된 기기는 분해 능이 $10^{-7}$인 증폭기 및 16비트 A/D변환기,컴퓨터,하중 계측기,시험 운영 프로그램으로 구성되어 있으며, 유효자료 획득 속도는 매 초당 6~100개이다. 일반적으로 포아송비는 지금까지 하나의 물성으로 취급되어 왔으나, 본 시험 결과 금속류와는 달리 포아송비는 압력에 따라 변하는, 압력과 함수 관계에 있음이 확인되었다. 포아송비를 도출함에 있어서 4가지 방법을 사용한 결과, 계산에서는 포아송비가 급격하게 증가하여, 계산방법에 따라 파괴 영역이 확연히 구분되어 진다. 사암과 셰일은 낮은 하중과 높은 하중에서는 서로 다른 거동을 보였으나, 중간 하중 영역즉 탄성 한계 내에서는 ${\nu}_t={\nu}_0+P_{\sigma}$로(${\nu}_0$ : 탄성 영역 내에서의 초기 포아송비. ${\nu}_t$ : 탄성 영역 내에서의 포아송비, P : 포아송 계수, $\sigma$:응력)일차함수적으로 증가하였다. 2가지 암석 시료 모두 탄성 한계 내에서 포아송비는 0.1~0.21의 연속적인 변화 양상을 나타내며,파괴강도 65% 이사에서 급격히 증가하여 0.22~0.45로 나타나므로 이는 탄성 범위밖에 해당된다.

• 지구물리와물리탐사
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• 제23권1호
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• pp.50-54
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• 2020

이 논문에서는 축 방향 대칭성을 가지는 원통형 이상체 대한 자력 반응식을 유도하였다. 일정한 방향으로 자화된 이상체가 생성시키는 자력장은 일정한 밀도를 가지는 이상체에 의한 중력 변화율 텐서로부터 변환 가능한 포아송(Poisson) 관계식을 이용하여 기존에 이미 유도된 원통형에 의한 중력 변화율 텐서로부터 3성분 자력 벡터를 유도하였다. 축 방향 대칭성을 이용하여 중력 변화율 텐서를 원통 좌표계에서 유도하였고 이를 직교 좌표계로 변환한 후 이상체의 자화 방향과 결합하여 3성분 자력 벡터를 유도하였다.

• JSTS:Journal of Semiconductor Technology and Science
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• 제16권2호
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• pp.153-158
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• 2016

The elastic material constants, stiffness constants ($c_{11}$, $c_{12}$, and $c_{44}$), are three unique coefficients that establish the relation between stress and strain. Accurate knowledge of mechanical properties and the stiffness coefficients for silicon is required for design of Micro-Electro-Mechanical Systems (MEMS) devices for proper modeling of stress and strain in electronic packaging. In this work, the stiffness coefficients for silicon as a function of temperature from $-150^{\circ}C$ to $+25^{\circ}C$ have been extracted by using the experimental measurements of Poisson's ratio (${\nu}$) of silicon in several directions.

• 한국농공학회:학술대회논문집
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• 한국농공학회 1999년도 Proceedings of the 1999 Annual Conference The Korean Society of Agricutural Engineers
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• pp.265-270
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• 1999

At this study, we investigated the chemical component and the mineral granular composition of sedimentary rock and others where were distributed in Taegu area and compared correlations with each data through the various physicla and mechanical characteristic test. As the result, d and E, they are kinds of granite, which contain much albite than others were proved to be strong by mechanical tests and the correlation moduli were proved to be more than 0.8 except P wave velocity-Poisson's ration relation when examined Elastic moduluous -Poisson's ration, P, wave velocity-Uniaxial compression strength, Elastic modulous -Uniaxial compression strength and Uniaxial compression strength-Poisson's ration correlation function graph.

• 한국전산구조공학회논문집
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• 제22권6호
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• pp.627-637
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• 2009

복합재료는 재료적, 역학적으로 뛰어난 특성을 가진 재료로서 엔지니어링분야의 많은 부분에 적용되고 있다. 특히 무게 대비 강성비가 높은 특성을 가지고 있으며 다양한 형상에 대한 성형성도 뛰어나다. 그러나 재료의 특성상 두 가지 재료를 조합하여 제작하는 복잡한 과정은 재료상수에 높은 임의성을 야기할 가능성이 있다. 본 연구에서는 재료상수 중 포아송비의 공간적 임의성을 고려한 추계론적 유한요소해석 정식화를 제시한다. 직교이방성 복합적층구조의 두 재료축에 대한 상호관계를 적용하여 두 재료축방향의 포아송비를 하나의 대표값으로 나타내었고, 이를 합력-변형률관계에 적용하였다. 이를 통하여 합력-변형률관계를 포아송비의 변동항의 수학적 표현인 추계장함수의 차수에 따라 분해된 형태로 유도하였고, 이를 정식화에 적용하여 응답분산계수를 제시하였다. 제시한 응답분산계수는 몬테카를로 해석의 결과와 비교하였다.

• 한국국방경영분석학회지
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• 제11권2호
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• pp.69-82
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• 1985

In this study, we consider the simultaneous estimation of the parameters of the distribution of p independent Poisson random variables using the weighted loss function. The relation between the estimation under the weighted loss function and the case when more than one observation is taken from some population is studied. We derive an estimator which dominates Tsui and Press's estimator when certain conditions hold. We also derive an estimator which dominates the maximum likelihood estimator(MLE) under the various loss function. The risk performances of proposed estimators are compared to that of MLE by computer simulation.

• Journal of Astronomy and Space Sciences
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• 제40권2호
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• pp.67-77
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• 2023

The Titius-Bode's relation has been historically successful in predicting the location of Ceres in the solar system, while its physical basis remains hidden. In this study, we attempt to answer the question of whether the Titius-Bode's relation is universally valid for exoplanetary systems with plural exoplanets. For this purpose, we statistically study the distribution of the ratio of the orbiting periods of two planets in 32 exoplanetary systems hosted by a single star. We only consider the period ratios derived from exoplanets orbiting a single star since celestial objects under investigation are kept as simple as possible and free from uncertainties such as the mass of the host star. We find that the distribution of period ratios of two exoplanets appears inconsistent with that derived from the Titius-Bode's relation using the χ² test. We also found that the distance distribution in exoplanetary systems unlikely follows the uniform distribution or the Poisson's distribution. It is noted, however, that more rigorous statistical tests should be carried out to reach a more certain conclusion.

• Advances in concrete construction
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• 제1권4호
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• pp.305-318
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• 2013

Engineering properties such as compressive strength, splitting tensile strength, modulus of rupture, modulus of elasticity and Poisson's ratio of geopolymer concrete (GPC) and steel fibre reinforced geopolymer concrete (SFRGPC) have been obtained from standard tests and compared. A total of 15 specimens were tested for determining each property. The grade of concrete used was M 40. The percentages of steel fibres considered include 0.25%, 0.5%, 0.75% and 1%. In general, the addition of fibres improved the mechanical properties of both GPC and SFRGPC. However the increase was found to be nominal in the case of compressive strength (8.51%), significant in the case of splitting tensile strength (61.63%), modulus of rupture (24%), modulus of elasticity (64.92%) and Poisson's ratio (50%) at 1% volume fraction of fibres. An attempt was made to obtain the relation between the various engineering properties with the percentage of fibres added.

• 한국세라믹학회지
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• 제35권8호
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• pp.813-818
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• 1998

A simple method to measure the elastic modulus E and Poisson's ratio v of diamod-like carbon (DLC) films deposited on Si wafer was suggested. Using the anisotropic etching technique of Si we could make the edge of DLC overhang free from constraint of Si substrate. DLC film is chemically so inert that we could not on-serve any surface damage after the etching process. The edge of DLC overhang free from constraint of Si substrate exhibited periodic sinusoidal shape. By measuring the amplitude and the wavelength of the sinu-soidal edge we could determine the stain of the film required to adhere to the substrate. Since the residual stress of film can be determine independently by measurement of the curvature of film-substrate com-posite we could calculated the biaxial elastic modulus E/(1-v) using stress-strain relation of thin films. By comparing the biaxial elastic modulus with the plane-strain modulus E/(1-{{{{ { v}^{2 } }}) measured by nano-in-dentation we could further determine the elastic modulus and Poisson's ratio independently. This method was employed to measure the mechanical properties of DLC films deposited by {{{{ { {C }_{6 }H }_{6 } }} rf glow discharge. The was elastic modulus E increased from 94 to 169 GPa as the {{{{ { V}_{ b} / SQRT { P} }} increased from 127 to 221 V/{{{{ {mTorr }^{1/2 } }} Poisson's ratio was estimated to be abou 0.16∼0.22 in this {{{{ { V}_{ b} / SQRT { P} }} range. For the {{{{ { V}_{ b} / SQRT { P} }} less than 127V/{{{{ {mTorr }^{1/2 } }} where the plastic deformation can occur by the substrate etching process however the present method could not be applied.