• Title/Summary/Keyword: Weibull Fracture Probability

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Fracture Probability Properties of Torsion Fatigue of STS304 Steel (STS304강의 비틀림 피로파괴 확률특성)

  • Park, Dae-Hyun;Jeong, Soon-Ug
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.201-206
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    • 2003
  • This study is test for STS304 specimen using bending and torsion state. Rounded specimen and notched specimen including fracture surface investigation was comparatively experimented, fatigue life according to degree of surface finishing was examined. Fatigue fracture probability of notched canilever specimens were predicted by P-S-N curve, median rank and Weibull distribution. And at the relation with the rotational speed and stress, the fatigue life of the test specimen was higher at high speed than low speed If summarize STS304 torsion result of fatigue test, is as following. Fatigue life prediction was available by Weibull statistics distribution, and 50% breakdown probability correlation equation was appeared as following.

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Fracture Probability Properties of Pure and Cantilever Bending Fatigue of STS304 Steel (STS304강의 순수 및 외팔보형 굽힘 피로에 대한 파괴확률 특성)

  • Roh, Sung-Kuk;Park, Dae-Hyun;Jeong, Soon-Uk
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.199-204
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    • 2001
  • Big accidents of flyings, vessel, subways, gas equipments, buildings and bridge happens frenquently. Therefore many people are suffering harm of property. The destruction cause of macaine components is almost accused by fatigue. This study is test for STS304 specimen using pure and cantilever bending state. Rounded specimen and notched specimen including fracture surface investigation was comparatively experimented, fatigue life according to degree of surface finishing was examined. Fatigue fracture probability of notched canilever specimens were predicted by P-S-N curve, median rank and Weibull distribution. And at the relation with the rotational speed and stress, the fatigue life of the test specimen was higher at high speed than low speed.

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Effect of Cobalt to Bronze Ratio on Transverse Rupture Strength of Diamond Segments

  • Unal, Rahmi
    • Proceedings of the Korean Powder Metallurgy Institute Conference
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    • 2006.09b
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    • pp.1146-1147
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    • 2006
  • Diamond segments were fabricated by cold pressing and sintering under pressure at the temperature up to $750^{\circ}C$. Based on the results of this investigation, it can be concluded that the segments containing 39wt.% cobalt in the matrix material have the highest bending strength at a fracture probability of 50 % due to the weibull distribution method. According to the weibull statistics, it was also determined that the transverse rupture strength was the best for 39 wt.% cobalt ratio in the matrix material for the fracture probability when the other variables are the same.

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A Study on Standardization of Fracture Strength of Secondary Barrier of FSB in MARK-III LNG CCS using Weibull Distribution (Weibull 통계분석을 이용한 MARK-III LNG CCS의 2차 방벽 FSB 파단강도 표준화 연구)

  • Jeong, Yeon-Jae;Kim, Hee-Tae;Kim, Jeong-Dae;Oh, Hoon-Gyu;Kim, Yong-Tai;Park, Seong-Bo;Lee, Jae-Myung
    • Journal of the Society of Naval Architects of Korea
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    • v.58 no.3
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    • pp.137-143
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    • 2021
  • In this study, the fracture strength of Flexible Secondary Barrier (FSB) composites was standardized by conducting a distribution analysis of the fracture probability, considering that the fracture strength of FSB composites such as glass fiber reinforced composites is relatively large. As the mechanical performance of FSB composites varies with the fiber direction, 20 replicate uniaxial tensile tests were performed for different temperatures ranging from the ambient to cryogenic conditions, considering the actual operating environment of liquefied natural gas. For the probability statistical analysis, the Weibull distribution analysis derived from the weakest link theory was used, considering the large variance in the fracture strength and brittle fracture behavior. The results of the Weibull distribution analysis were used to calculate the standard fracture strength of the FSB composites for different fiber directions. The findings can help ensure the reliability of the FSB mechanical properties in different fiber directions in the design of the secondary barrier and structural analyses.

A Probabilistic Analysis on Fracture Strength of Ceramics (세라믹스의 파괴강도에 관한 확률론적 해석)

  • 김선진
    • Journal of Ocean Engineering and Technology
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    • v.10 no.2
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    • pp.61-68
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    • 1996
  • Weibull distribution function is applied very successfully to the strength of brittle materials such as ceramics and the weakest link model is applied to explain the ovents. This paper deals with the effect of specimen size on the strength of ceramics. The values of tensile strength were calculated by the Monte-Calro simuation. The tensile strength obtained was plotted on Weibull probabillity papers and represented by the 3-parameter Weibull distribution. The strength distribution function was compared with the theoretical weibull distribution. As a result, it was found that the Weibull shape parameter was changed due to the size and there was a possibility of a false indication as if the weakest link model holds good. We should be very careful when we apply the Weibull statistics to estimate the strength of products.

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An Evaluation of Bending Fatigue Strength for Cold Forged Bevel Gear (냉간단조 베벨기어의 굽힘피로강도 평가)

  • 김재훈;사정우;김덕회;이상연
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.1
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    • pp.61-67
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    • 2000
  • Gears are the most commonly used parts in automotive and industrial applications. One of most common modes of gear failures is tooth breakage, which is usually produced by the bending fatigue failure. It is important to manufacture the gears which can withstand the applied stresses in view of safety and economic requirement. This paper deals with bending fatigue strength for cold forged bevel gear. Especially, to compare fatigue characteristics for manufacturing processes difference, bending fatigue tests of bevel gears made by three different processes respectively. Results indicate that the fatigue strength of bevel gear is improved by cold forging process. Intergranular fracture is found on fatigue fracture surface, and dimples are observed on final fracture surface. The fatigue failure cannot be considered as a deterministic quantity, but must be characterized statistically. This study proposes a method to estimate bending fatigue lift of the bevel gear using the probability-load-life and Weibull analysis.

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A Probabilistic Study on Thickness Effect of Fracture Toughness in Heterogeneous Brittle Materials (불균질 취성재료 파괴인성에 미치는 두께효과의 확률적 연구)

  • Kim, Am-Kee;Koh, Sung-Wi;Jung, Gyoo-Dong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.4
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    • pp.1356-1362
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    • 1996
  • Fracture toughness of heterogeneous brittle materials such as poly crystalline ceramics used to present the size (thickness) effect as well as statistically distributed results. There is belief that both(size effect and scatter) must be associated with each other. However, no generally accepted theory has been established so far. Using statistical approach, a probabilistic modeling for the fracture toughness which describes the thickness effect was attempted in this paper, Weibull distribution of specific fracture energy(SFE)at local areas and Griffith criterion are applied to the model. In addition, the newly developed model was verified with experimental results of alumina.

Reliability Analysis of Statistical Failure Probability in Sin/Hip Si3N4 (통계적 파괴 확률에 의한 Sin/Hip 질화규소의 신뢰도 분석)

  • 유영혁;이준근;이재석
    • Journal of the Korean Ceramic Society
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    • v.26 no.1
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    • pp.116-122
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    • 1989
  • MOR test and concentric ring test were performed to evaluate the failure probability of sin/hip Si3N4 under uniaxial and biaxial stress state, respectively. Their failure probabilities were analized with KARA program based on Weibull PIA model and Batdorf model with 5 criteria, and they were compared with experiments. PIA model is in best accordance with experiments in higher fracture strength regions, especially for Pf 0.3. But in lower fracture strength region, none of the models predicts the failure probabilities appropriately.

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Finite Element Analysis of Deformation Behavior During ECAP for an Aluminum Alloy Composite Model containing a SiC Particle and Porosities (강화상과 기공이 포함된 금속기지 복합재 모델의 ECAP 거동에 대한 유한요소해석)

  • Lee, Sung-Chul;Han, Sang-Yul;Kim, Ki-Tae;Hwang, Sang-Moo;Huh, Lyun-Min;Chung, Hyung-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.6
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    • pp.739-746
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    • 2004
  • The plastic deformation behavior of an aluminum alloy containing a particle and porosities was investigated at room temperature during equal channel angular pressing (ECAP). Finite element analysis by using ABAQUS shows that ECAP is a useful tool for eliminating residual porosity in the specimen, and more effective under friction condition. The simulation, however, shows considerably low density distributions for matrix near a particle at which many defects may occur during severe deformation. Finite element results of effective strains and deformed shapes for matrix with a particle were compared with theoretical calculations under simple shear stress. Also, based on the distribution of the maximum principal stress in the specimen, Weibull fracture probability was obtained for particle sizes and particle-coating layer materials. The probability was useful to predict the trend of more susceptible failure of a brittle coating layer than a particle without an interphase in metal matrix composites.

Finite Element Analysis for Behavior of Aluminum Alloy Embedding a Particle under Equal Channel Angular Pressing (ECAP 공정시 강화상이 첨가된 금속기지 거동에 대한 유한요소해석)

  • Lee, S.C.;Ha, S.R.;Kim, K.T.;Chung, H.S.
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1157-1162
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    • 2003
  • Behavior of aluminum alloy embedding a particle was investigated at room temperature under ECAP. Finite element analysis by using ABAQUS shows that ECAP is a useful tool for eliminating residual porosity in the specimen, and much more effective under friction condition. The simulation, however, shows considerably low density distributions for matrix near a particle at which rich defects may occur during severe deformation. Finite element results of effective strains and deformed shapes for matrix with a particle were compared with theoretical calculations under simple shear stress. Also, based on the distribution of the maximum principal stress in the specimen, Weibull fracture probability was obtained for particle sizes and particle-coating layer materials. The probability was useful to predict the trend of more susceptible failure of a brittle coating layer than a particle without an interphase in metal matrix composites.

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