• 제목/요약/키워드: Stress distributions

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Noninformative priors for stress-strength reliability in the Pareto distributions

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • 제22권1호
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    • pp.115-123
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    • 2011
  • In this paper, we develop the noninformative priors for stress-strength reliability from the Pareto distributions. We develop the matching priors and the reference priors. It turns out that the second order matching prior does not match the alternative coverage probabilities, and is not a highest posterior density matching or a cumelative distribution function matching priors. Also we reveal that the one-at-a-time reference prior and Jeffreys' prior are the second order matching prior. We show that the proposed reference prior matches the target coverage probabilities in a frequentist sense through simulation study, and an example is given.

平활材表面 의 微小피勞균열에 관한 基礎的 特性 (Basic Characteristics of Micro-Fatigue-Cracks on the Unnotched Smooth Specimens)

  • 서창민;북천영부;결성양치
    • 대한기계학회논문집
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    • 제7권1호
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    • pp.28-35
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    • 1983
  • Quantitative analysis have been carried out on the micro-cracks on the surface and into the depth of unnotched smooth mild steel specimen under cyclic stains by rotating bending fatigue tests. Some of the results are; (1) Cracks initiate at the early stage of fatigue life N$_{I}$/ N$_{f}$=10 to 20%, and propagate during the rest of fatigue life. (2) Coalescence of highly crowded small fatigue cracks of random distribution seems to induce the final fracture at higher stress level. (3) The curves of crack initiation and the equal crack length on the graph of stress versus number of cycles are parallel to the S-N curve. (3) The curves of crack initiation and the equal crack length on the graph of stress versus number of cycles are parallel to the S-N curve. (4) The distributions of micro-surface crack length and depth show the composite Weibull distributions which are approximated to two straight lines separated by the value of transient region between stage I and stage II crack.k.k.

Noninformative Priors for the Stress-Strength Reliability in the Generalized Exponential Distributions

  • Kang, Sang-Gil;Kim, Dal-Ho;Lee, Woo-Dong
    • Communications for Statistical Applications and Methods
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    • 제18권4호
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    • pp.467-475
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    • 2011
  • This paper develops the noninformative priors for the stress-strength reliability from one parameter generalized exponential distributions. When this reliability is a parameter of interest, we develop the first, second order matching priors, reference priors in its order of importance in parameters and Jeffreys' prior. We reveal that these probability matching priors are not the alternative coverage probability matching prior or a highest posterior density matching prior, a cumulative distribution function matching prior. In addition, we reveal that the one-at-a-time reference prior and Jeffreys' prior are actually a second order matching prior. We show that the proposed reference prior matches the target coverage probabilities in a frequentist sense through a simulation study and a provided example.

Application of Mechanoluminescence for the Dynamic Visualization of an Alumina Fracture

  • Kim, Ji-Sik
    • Journal of Information Display
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    • 제11권1호
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    • pp.33-38
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    • 2010
  • The propagation of cracks was quantitatively analyzed in $Al_2O_3$ ceramic using the mechanoluminescence (ML) of $SrAl_2O_4$:Eu,Dy. The bridging zones behind the crack tip were clearly detected in the crack path of $Al_2O_3$ within a realistic time frame. The magnitudes and shapes of the bridging stress distributions changed with the advancing cracks. They continued to change with the change in the applied load even after the cessation of crack propagation. Effective toughening then commenced, and the applied stress intensity factors dramatically increased up to ~50 MPa $\sqrt{m}$. The expected $K_{Tip}$ values based on the instantaneous bridging stress distributions obtained from the ML observations deviated greatly from those obtained from the measurement using the conventional crack tip lengths; rather, they support the results obtained when bridging tips were used in the quasidynamic crack propagations.

Estimation of Reliability of k-out-of-m Stress-Strength Model in the Independent Exponential Case

  • Kim, Jae Joo;Choi, Sung Sup
    • 품질경영학회지
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    • 제10권1호
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    • pp.2-6
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    • 1982
  • m개의 부품으로 이루어진 씨스템이 스트레스를 받고 있다고 가정하자. 본 논문에서는 스트레스 분포와 스트렝스 분포로 부터의 확률표본으로 자료가 구성되어 있을때, 이 씨스템의 신뢰도에 대하여 고찰하였다. 모든 분포는 미지의 모수를 가진 독립적인 지수 분포인 것으로 가정하였다. 씨스템 신뢰도의 형태와 최소분산 불편추정량을 구하였다. 또한, 최소분산 불편추정량을 최우추정량에 대하여 전개하고 두 추정량의 등가성을 보임으로서 근사분포를 구하였다. 몬테카를로 씨뮤레이션으로 두 추정량의 효율을 비교하였다.

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구형등가보 원리에 의한 튜브 구조물의 전단응력 해석 (Orthotropic Beam Analogy for Analysis of Shear Stresses in Framed-Tube Structures)

  • 이강건;이리형
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.393-400
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    • 2001
  • A simple numerical modelling technique is proposed for estimating the shear stress distribution in beams of framed tube structures with multiple internal tubes. The structures are analysed using a continuum approach in which each tube is individually modelled by a tube beam that accounts for the flexural and shear deformations, as well as the shear lag effects. The method idealises the discrete tubes-in-tube structures as an assemblage of equivalent multiple beams, each composed of orthotropic plate panels. The numerical analysis of shear stress is based on the elastic theory in conjunction with the minimum potential energy principle. By simplifying assumptions regarding the form of strain distributions in external and internal tubes, the shear stress distributions are expressed in terms of a series of linear functions of the second moments of area of the structures and the corresponding geometric and material properties, as well as the applied loads. The simplicity and accuracy of the proposed method are demonstrated through the solutions of three numerical examples.

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복부대동맥/장골동맥 분기혈관내 정상 및 박동성 유동의 속도와 전단응력분포 (Velocity and Shear Stress Distributions for Steady and Physiological Flows in the Abdominal Aorta/lLIAC Artery Bifurcation)

  • 서상호
    • 대한의용생체공학회:의공학회지
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    • 제18권2호
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    • pp.179-186
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    • 1997
  • Steady and physiological flows of a Newtonian fluid and blood in the abdominal gorta/iliac artery bifurcation are numerically simulated to understand the etiology and pathogenesis of atherosclerosis. Distributions of velocity, pressure, and wall shear stress in the bifurcated arterial vessel model are calculated to investigate the differences of flow characteristics between steady and physiological flows and to compare flow characteristics of blood with that of a Newtonian fluid For the given Reynolds number the flow characteristics of physiological flows for a Newtonian fluid and blood in the bifurcated arterial vessel are quite different from thcse of steady flows. No flow separation or flow reversal in the bifurcated region appears downstream of a stenosis during the acceleration phase. However, during the deceleration phase the flow exhibits flow separation in the outer walls of daugtlter branches, which extends to the entire wall region.

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기능경사 내열 복합재의 체적분율 최적화에 관한 연구 (Study on the Volume Fraction Optimization of Functionally Graded Heat-Resisting Composites)

  • 조진래;하대율
    • 대한기계학회논문집A
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    • 제25권6호
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    • pp.988-995
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    • 2001
  • Functionally graded materials(FGMs) are highlighted to be suitable for high temperature engineering due to their continuous distribution of material properties. In this paper, an optimal design is executed for determining the optimal material volume distribution pattern that minimizes the steady-state thermal stress of FGM heat-resisting composites. The interior penalty function method and the golden section method are employed as optimization techniques while the finite element method is used for thermal stress analysis. Through numerical simulations we suggest the volume fraction distributions that considerably improve initial thermal stress distributions.

균열열림변형을 고려한 모재균열이 있는 직교적층판의 2차원 해석 (Two-Dimensional Analysis of Cross-ply Laminates with Transverse Cracks Based on the Assumed Crack Opening Deformation)

  • 이재화;홍창선;한영명
    • 대한기계학회논문집
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    • 제15권6호
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    • pp.2002-2014
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    • 1991
  • 본 연구에서는 모재균열의 열림변위로 인한 변형을 고려하여, 모재균열 주위 의 응력분포를 구하기 위한 2차원 해석방법을 제안한다. 제안된 방법은 두께방향 다 항식 형태로 가정된 변위성분으로부터 모재균열 주쥐의 변위, 응력분포를 구한다. 본 방법은 적층판의 프아송비(Poisson's ratio) 효과와 열잔류응력(thermal residual stress)의 영향을 고려하였으며, 계면층(interface layer) 개념을 사용하여 특성손상 상태 이후에 발생하는 층간분리를 평가하기 위한 기초자료인 층간수직응력과 층간전단 응력을 결정하였다. 제안된 방법의 타당성을 검증하기 위하여, 유한요소해석(finite element analysis)을 수행하여 제안된 방법의 응력분포 결과를 유한요소해석 결과와 비교하여 보았다.