• Title/Summary/Keyword: 균열 확률

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Probabilistic Remaining Life Assessment Program for Creep Crack Growth (크리프 균열성장 모델에 대한 확률론적 수명예측 프로그램)

  • Kim, Kun-Young;Shoji, Tetsuo;Kang, Myung-Soo
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.6
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    • pp.100-107
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    • 1999
  • This paper describes a probabilistic remaining life assessment program for the creep crack growth. The probabilistic life assessment program is developed to increase the reliability of life assessment. The probabilistic life assessment involves some uncertainties, such as, initial crack size, material properties, and loading condition, and a triangle distribution function is used for random variable generation. The resulting information provides the engineer with an assessment of the probability of structural failure as a function of operating time given the uncertainties in the input data. This study forms basis of the probabilistic life assessment technique and will be extended to other damage mechanisms.

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A Study on Estimation of the Probability Distribution of Fatigue Crack Growth Life for Steels (강의 피로균열전파수명의 확률분포 추정에 관한 연구)

  • 김선진;윤성환;전창환;김일석
    • Journal of Ocean Engineering and Technology
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    • v.14 no.4
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    • pp.73-78
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    • 2000
  • Presented are the estimation of the probability distribution of fatigue crack growth life and reliability assessment of structures by simulating material resistance to fatigue crack growth along a crack path. The material resistance is treated as a Weibull stochastic process. A non-Gaussian stochastic fields simulation method proposed by shimozuka, et al is applied with the statistical data obtained experimentally. Test results are obtained for $\delta K$ constant amplitude load in tension with stress ratio of R=0.2 and three specimen thicknesses of 6,12 and 18mm. This simulation method is useful to estimate the probability distribution of fatigue crack growth life and the smallest life.

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The Integrity Assessment Method of Initailly Cracked Structural Components by Reliability Analysis (신뢰성해석에 의한 초기균열을 갖는 구조부재의 건전성 평가방법)

  • S.J. Yim;T.U. Byun
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.2
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    • pp.161-176
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    • 1993
  • For the purpose of assessing structural integrity at a level of complexity and accuracy appropriate for the situation, integrity assessment methods are formulated with the following methods. One is three-tier assessment method of the revised BSI PD 6493 which considers stable crack growth effect, the others are limit load analysis which estimates the plastic collapse load and stability assessment method which considers stable crack growth of ductile material exactly using J-integral and tearing modulus. Besides, integrity assessments for center cracked panel(CCP) specimen and the circumferential through-cracked pipe are carried out and reliability analysis is accomplished by the first order reliability method which is one of the conventional reliability methods. Also the accuracy of the present method is verified by Monte Carlo method.

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On the Statistical Properties of the Parameters B and q in Creep Crack Growth Law, da/dt=B(C*)q, in the Case of Mod. 9Cr-1Mo Steel (Mod. 9Cr-1Mo강의 크리프 균열 성장 법칙의 파라메터 B와 q의 통계적 성질에 관한 연구)

  • Kim, Seon-Jin;Park, Jae-Young;Kim, Woo-Gon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.3
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    • pp.251-257
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    • 2011
  • This paper deals with the statistical properties of parameters B and q in the creep crack growth rate (CCGR) law, da/dt=B$(C^*)^q$, in Mod. 9Cr-1Mo (ASME Gr.91) steel which is considered a candidate materials for fabricating next generation nuclear reactors. The CCGR data were obtained by creep crack growth (CCG) tests performed on 1/2-inch compact tension (CT) specimens under an applied load of 5000N at a temperature of $600^{\circ}C$. The CCG behavior was analyzed statistically using the empirical equation between CCGR, da/dt and the creep fracture mechanics parameter, $C^*$. The B and q values were determined for each specimen by the least-squares fitting method. The probability distribution functions for B and q were investigated using normal, log-normal, and Weibull distributions. As far as this study is considered, it can be appeared that B and q followed the log-normal and Weibull distributions. Moreover, a strong positive linear correlation was found between B and q.

Estimation of Fatigue Crack Growth using Gamma Process Model (감마과정 모델을 적용한 피로균열 진전거동의 예측)

  • Park, Sung Ho;Kim, Jae Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.11
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    • pp.1245-1256
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    • 2014
  • The physical nature of fatigue shows the considerable amount of scatter from intrinsic and extrinsic factors. In this study, some degradation models, such as the gamma process model, were reviewed in terms of uncertainties associated with the continuous, gradual, and monotonic nature of fatigue crack growth. Statistically varying fatigue crack growth data obtained from Lu and Meeker were used as an example to demonstrate the use of the gamma process model. This model can describe the condition and lifetime as statistical distribution curves whose shapes vary with cycles. From the skewness of the statistical distribution curves, it was confirmed that the median is suitable for being considered as the expected life. The use of the gamma process model enables the optimum replacement period and percentile life to be employed as criteria for preventive maintenance policy.

Reliability Analysis for Estimations of the Probability of Pipe Breaking (파이프의 파괴확률 산정을 위한 신뢰성 해석)

  • Kwon, Hyuk-Jae;Lee, Cheol-Eung;Choi, Han-Kuy
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.850-853
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    • 2008
  • 송수관이나 배수관은 계획된 필요유량을 특정 지점까지 안전하게 전달할 수 있도록 설계되지만 여러 가지원인으로 인하여 갑작스런 파열이나 균열이 일어난다. 파이프 파괴의 원인으로는 수격현상, 관의노화, 파이프 외부로부터의 충격, 흙의 상태, 그리고 파이프 설치시의 공사여건 등이 있다. 본 연구에서 여러 가지 요인들을 불확실성 인자로 가정하여 파이프의 파괴확률을 산정할 수 있는 신뢰성 해석 모형이 개발되었다. 상수관망의 설계 시 파이프의 두께를 산정하는 주 장력 공식을 이용하여 신뢰함수를 만들고 파이프의 파괴확률을 계산하였다. 신뢰함수를 구성하는 확률변수들 중 파이프의 내압에 대한 분포함수는 정규분포가 아닌 극치분포(Gumbel distribution)를 따른다는 것을 부정류 수치해석 결과로서 알 수 있었고 AFDA(Approximate Full Distribution Approach) 기법을 사용하여 파괴확률을 산정하였다. 신뢰성 모형을 이용하여 파이프의 두께, 직경, 허용응력, 그리고 파이프 내압에 따른 파괴확률을 정량적으로 산정할 수 있었다. 본 연구에서 개발된 신뢰성 해석모형을 이용하여 보다 안전하고 경제적인 송배수관의 설계기법을 구축할 수 있을 것이다.

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Effect of Temper-Embrittlement on Surface Crack Growth and Fatigue Life Prediction (재질열화가 표면 균열 진전에 미치는 영향과 수명 예측에 관한 연구)

  • 권재도
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.5
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    • pp.921-927
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    • 1989
  • One of the most important problems in recent life prediction is to introduce the degradation effects into life prediction procedure. In the present paper, the effect of the material degradation on the fatigue surface crack growth and fatigue life prediction in a 2 1/4 Cr-1Mo steel were investigated. The 2 1/4 Cr-1Mo steel has been used in a plant having operated for over 60000hours and subjected to material degradation due to temper-embitterment. A Monte-Carlo simulation was made on the basis of the data obtained in the experiment in order to determine the P-S-N diagrams of surface crack growth for the degraded and recovered steels.

A Stochastic Analysis of Variation in Fatigue Crack Growth of 7075-T6 Al alloy (7075-T6 A1 합금의 피로균열진전의 변동성에 대한 확률론적 해석)

  • Kim, Jung-Kyu;Shim, Dong-Suk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.7
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    • pp.2159-2166
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    • 1996
  • The stochastic properties of variation in fatigue crack growth are important in reliability and stability of structures. In this study,the stochastic model for the variation of fatigue crack growth rate was proposed in consideration of nonhomogeneity of materials. For this model, experiments were ocnducted on 7075-T6 aluminum alloy under the constant stress intensity factor range. The variation of fatigue crack growth rate was expressed by random variables Z and r based on the variation of material coefficients C and m in the paris-Erodogan's equation. The distribution of fatigue life with respect to the stress intensity factor range was evaluated by the stochastic Markov chain model based on the Paris-Erdogan's equation. The merit of proposed model is that only a small number of test are required to determine this this function, and fatigue crack growth life is easily predicted at the given stress intensity factor range.