• Title/Summary/Keyword: Stress Distribution Factor

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Inference for exponentiated Weibull distribution under constant stress partially accelerated life tests with multiple censored

  • Nassr, Said G.;Elharoun, Neema M.
    • Communications for Statistical Applications and Methods
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    • v.26 no.2
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    • pp.131-148
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    • 2019
  • Constant stress partially accelerated life tests are studied according to exponentiated Weibull distribution. Grounded on multiple censoring, the maximum likelihood estimators are determined in connection with unknown distribution parameters and accelerated factor. The confidence intervals of the unknown parameters and acceleration factor are constructed for large sample size. However, it is not possible to obtain the Bayes estimates in plain form, so we apply a Markov chain Monte Carlo method to deal with this issue, which permits us to create a credible interval of the associated parameters. Finally, based on constant stress partially accelerated life tests scheme with exponentiated Weibull distribution under multiple censoring, the illustrative example and the simulation results are used to investigate the maximum likelihood, and Bayesian estimates of the unknown parameters.

Studies on Stress Distribution at the end of the Bonded Strengtening Plate (접착 보강부재 단부에서의 응력분포에 관한 연구)

  • 김지선;김경원;한만엽;정영수;홍영균
    • Proceedings of the Korea Concrete Institute Conference
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    • 1996.04a
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    • pp.129-134
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    • 1996
  • Bonding strength of reinforcing material has been recognized to be the most important factor which determines the strengthening effect and the durability of repair work. The properties of bonding layers affects the stress distribution at the end of the plate, therefore the behavior of bonding layer has to be investigated. In this study, the stress distribution at the end of the bonded plate has been tested and compared with Roberts' analysis. Shear stress and vertical normal stress at the end of strengtening plate are analysized and the effedts of bonding layer thickness, plate thickness and plate length on the bonding behavior are tested. The test results showed that thickness is one of the most important factor, which is the thinner the thickness, the smaller the maximum stress.

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The Variation of Stress Concentration Factor and Crack Initiation Behavior on the Hole Defects Around the Rivet Hole in a Aircraft Materials (항공재료 리벳홀에 인접한 원공결함의 위치에 따른 응력집중계수의 변화와 균열발생거동)

  • Song, Sam-Hong;Kim, Cheol-Woong;Kim, Tae-Soo;Hwang, Jin-Woo
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.381-388
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    • 2003
  • The material deficiencies in the form of pre-existing defects can initiated cracks and fractures. The stress distribution and fatigue crack initiation life of engineering materials may be associated with the size, the shape and the relative location of defects contained in the component. The objective of this study is to investigate the effect of arbitrarily located hole defect around the rivet hole of a wing section in monolithic aluminum and Al/GFRP laminates under cyclic bending moment during a service load. The stress distribution and the fatigue crack initiation behavior near a rivet hole of on the relationships between stress concentration factor ($K_t$) and relative position of defects were considered. The test results indicated the features of different stress field. Therefore, the stress concentration factor ($K_t$) and the fatigue crack initiation behavior was illustrated different behavior according to each position of hole defect around the rivet hole in monolithic aluminum and Al/GFRP laminates.

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A Study on Parameters Affected the Fatigue Crack Growth in Steel Structure Members( II ) -The Effect of Surface Residual Stress for Crack Closure- (강구조 부재의 피로균열성장에 미치는 제인자에 관한 연구( II ) -표면잔류응력이 균열닫힘에 미치는 영향-)

  • Choi, Young Jae;Kyung, Kab Soo
    • Journal of Korean Society of Steel Construction
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    • v.8 no.3 s.28
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    • pp.3-11
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    • 1996
  • To investigate the effect of fatigue crack growth due to the surface residual stress, it is measured the residual stress distribution by x-ray diffraction at the crack tip each constant crack growth in the notch specimens, and quantitively assessed the effect of crack closure caused to the distribution of compressive stress at the crack tip from evaluating crack openning stress using the finite element analysis. It is concluded that the degree of the residual stress distribution at the crack tip is decreased with increasing the crack length. From the fact that it is similar to the crack openning stress ratio, it is found that the compressive residual stress distribution and size is related to the crack closure effect and surface residual stress field with propagating crack in the notch specimens depends on the stress intensity factor range at the crack tip.

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Characterization of Radial Stress in Curved Beams

  • Oh, Sei Chang
    • Journal of the Korean Wood Science and Technology
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    • v.37 no.2
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    • pp.128-136
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    • 2009
  • Curved glued laminated timber (glulam) is rapidly coming into the domestic modern timber frame buildings and predominant in building construction. The radial stress is frequently occurred in curved beams and is a critical design parameter in curved glulam. Three models, Wilson equation, Exact solution and Approximation equation were introduced to determine the radial stress of curved glulam under pure bending condition. It is obvious that radial stress distribution between small radius and large radius was different due to slight change of neutral plane location to center line. If the beam design with extremely small radius, it should be considered to determine the exact location of maximum radial stress. The current standard KSF 3021 was reviewed and would be considered some adjustment determining the optimum radius in curved glulam. Current design principle is that the stress factor is given by the curvature term only in constant depth of the beam, but like tapered or small radius of beams, the stress factor by Wilson equation was underestimated. So current design formula should be considered to improvement for characterizing the radial stress factor under pure bending condition.

Analysis of the stress disribution around flaws and the interaction effects between fatigue cracks by finite element method (유한요소법에 의한 결함 주위의 응력분포와 피로크랙의 간섭효과)

  • Song, S.H.;Kim, J.B.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.2
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    • pp.154-161
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    • 1995
  • In order to analysis of the stress distribution around flaws and the interaction effects between fatigue cracks, stress around micro hole was analyzed by Finite Element Method(F.E.M.) and micro hole specimens were tested using rotary bending fatigue machine and twisting fatigue machine to identify stress effects for fatigue cracks initiating from micro holes and interaction effects between micro holes. The results are as follows : Interaction effects of .sigma. $_{y}$for the micro hole side is larger than the large micro hole side when the interval between micro holes is near. Stress concentration factor increase as the diameter of micro hole becomes smaller. But, stress field of micro hole is smaller than that of large micro hole at h .leq. r (h:depth of micro hole, r:radius of micro hole) and that of large hole is larger than that of small micro hole at h >r expect the small range from micro hole.e.

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A Study on the Evaluation of Linear Cumulative Damage Factor of Membrane Type LNG Tank by use of Probability Density Function (확률밀도함수를 이용한 멤브레인방식 LNG탱크의 선형누적손상도 평가에 관한 연구)

  • 김종호
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.6
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    • pp.993-999
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    • 2004
  • The estimation of fatigue life at the design stage of membrane type LNG tank is very important in order to arrive at feasible and cost effective solutions considering the total lifetime of the tank. In this study, the practical procedure of fatigue life prediction by use of cumulative damage factors based on Miner-Palmgren hypothesis and probability density function has been shown with the corner region of Gaz Transport Membrane type LNG tank being used as an example. In particular the parameters of Weibull distribution that determine the stress spectrum are discussed. The main results obtained from this study are as follows: 1. The recommended value for the shape parameter of Weibull distribution for the LNG tank is 1.1 in case of using the direct calculation method proposed in this study. 2. The calculated fatigue life is influenced by the shape parameter of Weibull distribution and stress block. The safe fatigue design can be achieved by using higher value of shape parameter and the stress blocks divided into more stress blocks.

Estimation and Application of Reliability Values for Strength of Material Following Gamma Distribution (감마분포를 따르는 재료강도의 신뢰도 예측과 응용)

  • Park, Sung-Ho;Kim, Jae-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.2
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    • pp.223-230
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    • 2012
  • The strength of brittle material has commonly been characterized by a normal distribution or Weibull distribution, but it may fit the gamma distribution for some material. The use of an extreme value distribution is proper when the largest values of a set of stresses dominate the failure of the material. This paper presents a formula for reliability estimation based on stress-strength interference theory that is applicable when the strength of material is distributed like a gamma distribution and the stress is distributed like an extreme value distribution. We verified the validity of the equation for the reliability estimation by examining the relationships among the factor of safety, the coefficient of variation, and the reliability. The required minimum factor of safety and the highest allowable coefficient of variation of stress can be estimated by choosing an objective reliability and estimating the reliabilities obtained for various factors of safety and coefficients of variation.

Analysis of Bridging Stress Effect of Polycrystalline aluminas Using Double Cantilever Beam Method (Double Cantilever Beam 방법을 이용한 다결정 알루미나의 Bridging 응력효과 해석)

  • 손기선;이선학;백성기
    • Journal of the Korean Ceramic Society
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    • v.33 no.5
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    • pp.583-589
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    • 1996
  • In this study a new analytical model which can describe the relationship between the bridging stress and microstructure has beenproposed in order to investigate the microstructural effect on the R-curve behavior in polycrystalline aluminas since the R-curve can be derived via the bridging stress function. In the currently developed model function the distribution of grain size is considered as a microstructural factor in modeling of bridging stress function and thus the bridging stress function including three constants PM, n, and Cx, can be established analytically and quantitatively. The results indicate that the n value is closely related to the grain size distribution thereby providing a reliability of the current model for the bridging stress analysis. Thus this model which explains the correlation of the bridging stress distribution and microstructual parame-ters is useful for the systematic interpretation of microfracture mechanism including the R-curve behavior in polycrystalline aluminas.

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Determination of Stress Intensity Factor $K_I$ from Two Fringe Orders by Fringe Multiplication and Sharpening

  • Chen, Lei;Baek, Tae-Hyun
    • Journal of the Korean Society for Nondestructive Testing
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    • v.27 no.6
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    • pp.550-555
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    • 2007
  • Stress intensity factor is one of the most important parameters in fracture mechanics. Both the stress field distribution and the crack propagation are closely related to these parameters. Due to the complexity of actual engineering problems, it is difficult to calculate the stress intensity factor by theoretical formulation, so photoelasticity method is a good choice. In this paper, modified two parameter method is employed to calculate stress intensity factor for opening mode by using data from more than one photoelastic fringe loop. For getting accurate experiment results, the initial fringes are doubled and sharpened by digital image programs from the fringe patterns obtained by a CCD camera. Photoelastic results are compared with those obtained by the use of empirical equation and FEM. Good agreement shows that the methods utilized in experiments are considerably reliable. The photoelastic experiment can be used for bench mark in theoretical study and other experiments.