• 제목/요약/키워드: Density of crack

검색결과 395건 처리시간 0.023초

Hertz 접촉하중하에서의 복수표면균열의 상호간섭 (Mutual Interference of Two Surface Cracks under Hertzian Contact Loading)

  • 김상우;김석삼
    • 대한기계학회논문집A
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    • 제20권10호
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    • pp.3048-3057
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    • 1996
  • Analysis model containing two inclined surface cracks on semi-infinite elastic body is established and analyzed on the basis of linear fracture mechanics to examine mutual interference of two surface cracks. Muskhelishvili's complex stress functions are introduced and a set of singular integral equations is obtained for a dislocation density function. The stress intensity factors at crack tip are obtained by using the Gerasoulis'method. When two surface cracks are parallel and have the same length, the values of $K_1$and $\Delta K_11$(variation of $K_11$) for crack 1 and crack 2 decrease by the mutual interference of two surface cracks as the distance between the two surface cracks shortens. The effect of mutual interference is remarkable in high friction coefficient. In case that two surface cracks are parallel, the values of $K_1$and $\Delta K_11$for crack 2 decrease as the length ratio ot crack 2 to crack 1 becomes small. As the crack inclination angle rises, the value of $K_1$ and the mutual interference of $K_1$for crack 2 increase and the value of$\Delta K_11$ for crack 1 becomes smaller than that for crack 2.

몬테카를로법을 이용한 고온 내압 요소의 크리프 균열성장 파손확률 평가 (Evaluation of Creep Crack Growth Failure Probability for High Temperature Pressurized Components Using Monte Carlo Simulation)

  • 이진상;윤기봉
    • 한국안전학회지
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    • 제21권1호
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    • pp.28-34
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    • 2006
  • A procedure of estimating failure probability is demonstrated for a pressurized pipe of CrMo steel used at $538^{\circ}C$. Probabilistic fracture mechanics were employed considering variations of pressure loading, material properties and geometry. Probability density functions of major material variables were determined by statistical analyses of implemented data obtained by previous experiments. Distributions of the major variables were reflected in Monte Carlo simulation and failure probability as a function of operating time was determined. The creep crack growth life assessed by conventional deterministic approach was shown to be conservative compared with those obtained by probabilistic one. Sensitivity analysis for each input variable was also conducted to understand the most influencing variables to the residual life analysis. Internal pressure, creep crack growth coefficient and creep coefficient were more sensitive to failure probability than other variables.

광탄성실험에 의한 함수구배 재료 균열 해석 (Analysis for Cracks of Functionally Gradient Materials by Photoelastic Experiment)

  • 이광호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.48-53
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    • 2004
  • This paper suggested the method determing the stress intensity factor (SIF) for functionally gradient materials (FGMs) by photo elastic experimental method. The SIF for the center crack in a finite rectangulat plate with a linear variation of shear modulus with constant density and Poisson's ratio along the direction of the crack under mode I static loading is obtained. The exponential and linear variation of stress fields are used for obtaining the SIF. The greater crack length, the increaser the difference of the SIF between right and left side crack tip.

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

  • 김건영;;강명수
    • 한국정밀공학회지
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    • 제16권6호
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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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Prediction of ECC tensile stress-strain curves based on modified fiber bridging relations considering fiber distribution characteristics

  • Lee, Bang Yeon;Kim, Jin-Keun;Kim, Yun Yong
    • Computers and Concrete
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    • 제7권5호
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    • pp.455-468
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    • 2010
  • This paper presents a prediction and simulation method of tensile stress-strain curves of Engineered Cementitious Composites (ECC). For this purpose, the bridging stress and crack opening relations were obtained by the fiber bridging constitutive law which is quantitatively able to consider the fiber distribution characteristics. And then, a multi-linear model is employed for a simplification of the bridging stress and crack opening relation. In addition, to account the variability of material properties, randomly distributed properties drawn from a normal distribution with 95% confidence are assigned to each element which is determined on the basis of crack spacing. To consider the variation of crack spacing, randomly distributed crack spacing is drawn from the probability density function of fiber inclined angle calculated based on sectional image analysis. An equation for calculation of the crack spacing that takes into quantitative consideration the dimensions and fiber distribution was also derived. Subsequently, a series of simulations of ECC tensile stress-strain curves was performed. The simulation results exhibit obvious strain hardening behavior associated with multiple cracking, which correspond well with test results.

몬테카를로 모사에 의한 용접 계면에서의 크리프 균열성장 파손 확률 평가 (Evaluation of Creep Crack Growth Failure Probability at Weld Interface Using Monte Carlo Simulation)

  • 이진상;윤기봉
    • Journal of Welding and Joining
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    • 제23권6호
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    • pp.61-66
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    • 2005
  • A probabilistic approach for evaluating failure risk is suggested in this paper. Probabilistic fracture analyses were performed for a pressurized pipe of a Cr-Mo steel reflecting variation of material properties at high temperature. A crack was assumed to be located along the weld fusion line. Probability density functions of major variables were determined by statistical analyses of material creep and creep crack growth data measured by the previous experimental studies by authors. Distributions of these variables were implemented in Monte Carlo simulation of this study. As a fracture parameter for characterizing growth of a fusion line crack between two materials with different creep properties, $C_t$ normalized with $C^*$ was employed. And the elapsed time was also normalized with tT, Resultingly, failure probability as a function of operating time was evaluated fur various cases. Conventional deterministic life assessment result was turned out to be conservative compared with that of probabilistic result. Sensitivity analysis for each input variable was conducted to understand the most influencing variable to the analysis results. Internal pressure, creep crack growth coefficient and creep coefficient were more sensitive to failure probability than other variables.

함수구배재료에서 천이탄성동적모드 III 균열전파 (Transient Elastodynamic Mode III Crack Growth in Functionally Graded Materials)

  • 이광호
    • 대한기계학회논문집A
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    • 제34권7호
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    • pp.851-858
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    • 2010
  • 함수구배재료에서 구배방향을 따라 전파하는 천이모드 III 균열에 대한 일반적인 탄성해를 근접해법으로 얻었다. 함수구배재료의 전단계수 및 밀도는 구배방향을 따라 지수형적으로 변화한다고 가정하였다. 균열선단의 응력과 변위장은 응력확대계수 및 균열선단속도의 시간변화율에 의존하는 계수들을 갖는 방사상 좌표계의 누승으로 얻었다. 비균질성과 천이계수들이 응력 및 변위장의 고차항에 미치는 영향에 대하여 토론하였다.

The nonlocal theory solution for two collinear cracks in functionally graded materials subjected to the harmonic elastic anti-plane shear waves

  • Zhou, Zhen-Gong;Wang, Biao
    • Structural Engineering and Mechanics
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    • 제23권1호
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    • pp.63-74
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    • 2006
  • In this paper, the scattering of harmonic elastic anti-plane shear waves by two collinear cracks in functionally graded materials is investigated by means of nonlocal theory. The traditional concepts of the non-local theory are extended to solve the fracture problem of functionally graded materials. To overcome the mathematical difficulties, a one-dimensional non-local kernel is used instead of a two-dimensional one for the anti-plane dynamic problem to obtain the stress field near the crack tips. To make the analysis tractable, it is assumed that the shear modulus and the material density vary exponentially with coordinate vertical to the crack. By use of the Fourier transform, the problem can be solved with the help of a pair of triple integral equations, in which the unknown variable is the displacement on the crack surfaces. To solve the triple integral equations, the displacement on the crack surfaces is expanded in a series of Jacobi polynomials. Unlike the classical elasticity solutions, it is found that no stress singularities are present at crack tips.

퍼지 기법을 이용한 콘크리트 표면의 균열 검출 (Detection of Concrete Surface Cracks using Fuzzy Techniques)

  • 김광백;조재현
    • 한국정보통신학회논문지
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    • 제14권6호
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    • pp.1353-1358
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    • 2010
  • 본 논문에서는 콘크리트 균열 영상에서 퍼지 기법을 이용하여 균열을 자동으로 검출하는 방법을 제안한다. 본 논문에서 제안하는 콘크리트 표면 균열 검출 방법은 콘크리트 균열 영상의 R,G,B 채널 값을 퍼지 기법에 적용하여 후보 균열을 검출한다. 검출된 균열 후보 영역에 대해 밀도 정보를 이용하여 세부적인 잡음을 제거 한 후에 최종적으로 균열을 검출한다. 실제 콘크리트 균열 영상을 대상으로 실험한 결과, 제안한 방법이 기존의 방법보다 균열 검출 성능이 개선되었음을 확인할 수 있었다.

Consideration of Methods Evaluating the Growing Process of Stress Corrosion Cracking of the Sensitized 18-8 Austenitic Stainless Steel in High Temperature Water Based on Electric Circuit Theory: The Effects of Stress Factors

  • Tsukaue, Yasoji
    • Corrosion Science and Technology
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    • 제6권3호
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    • pp.103-111
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    • 2007
  • The effect of stress factors on the growing process of stress corrosion cracking (SCC) of the sensitized 18-8 stainless steel in high temperature water was investigated using equations of crack growth rate derived from applying electric circuits to SCC corrosion paths. Three kinds of cross sections have to be considered when electric circuit is constructed using total current. The first is ion flow passage area, $S_{sol}$, of solution in crack, the second is total dissolving surface area, $S_{dis}$, of metal on electrode of crack tip and the third is dissolving cross section, $S_{met}$, of metal on grain boundary or in base metal or in welding metal. Stress may affect each area. $S_{sol}$ may depend on applied stress, $\sigma_{\infty}$, related with crack depth. $S_{dis}$ is expressed using a factor of $\varepsilon(K)$ and may depend on stress intensity factor, K only. SCC crack growth rate is ordinarily estimated using a variable of K only as stress factor. However it may be expected that SCC crack growth rate depends on both applied stress $\sigma_{\infty}$ and K or both crack depth and K from this consideration.$\varepsilon(K)$ is expressed as ${\varepsilon}(K)=h_2{\cdot}K^2+h_3{\cdot}K^3$ when $h_{2}$ and $h_{3}$ are coefficients. Also, relationships between SCC crack growth rate, da/dt and K were simulated and compared with the literature data of JBWR-VIP-04, NRC NUREG-0313 Rev.2 and SKIFS Draft. It was pointed out in CT test that the difference of distance between a point of application of force and the end of starter notch (starting point of fatigue crack) may be important to estimate SCC crack growth rate. An anode dissolution current density was quantitatively evaluated using a derived equation.