• 대한기계학회논문집A
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• 제23권7호
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• pp.1139-1146
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• 1999

Reliability analysis of structures based on fracture mechanics requires knowledge on statistical characteristics of the parameter C and m in the fatigue crack growth law, $da/dN=C({\Delta}K)^m$. The purpose of the present study is to investigate if it is possible to predict fatigue crack growth rate by only the fluctuation of the parameter C. In this study, Paris-Erdogan law is adopted, where the author treat the parameter C as random and m as constant. The fluctuation of crack growth rate is assumed only due to the parameter C. The growth resistance coefficient of material to fatigue crack growth (Z=1/C) was treated as a spatial stochastic process, which varies randomly on the crack path. The theoretical crack growth rates at various stress intensity factor range are discussed. Constant ${\Delta}K$ fatigue crack growth tests were performed on the structural steel, SM45C. The experimental data were analyzed to determine the autocorrelation function and Weibull distributions of the fatigue crack growth resistance. And also, the effect of the parameter m of Paris' law due to variation of fatigue crack growth resistance was discussed.

• 천문학회보
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• 제38권2호
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• pp.57.1-57.1
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• 2013

We investigate the method to measure both the present value of the matter energy density contrast and the Hubble parameter directly from the measurement of the linear growth rate which is obtained from the large scale structure of the Universe. From this method, one can obtain the value of the nuisance cosmological parameter $\Omo$ (the present value of the matter energy density contrast) within 3% error if the growth rate measurement can be reached $z >3.5$. One can also investigate the evolution of the Hubble parameter without any prior on the value of $H_0$ (the current value of the Hubble parameter). Especially, estimating the Hubble parameter are insensitive to the errors on the measurement of the normalized growth rate $f \sigma_8$. However, this method requires the high $z$ ($z >3.5$) measurement of the growth rate in order to get the less than 5% errors on the measurements of $H(z)$ at $z \leq 1.2$ with the redshift bin $\Delta z = 0.2$. Thus, this will be suitable for the next generation large scale structure galaxy surveys like WFMOS and LSST.

• Journal of Forest and Environmental Science
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• 제13권1호
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• pp.66-80
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• 1997

잣나무는 최근 10년간 우리나라 인공조림실적 중 31%를 차지하는 주요 조림수종이다. 현재 우리나라 산림(山林)은 대부분의 인공조림지를 포함하여 30년생 이하의 유령림(幼齡林)이 87%를 점유하고 있음에도 보육간벌은 거의 실시되지 못하고 있는 실정이다. 또한 현실정에 적합한 잣나무의 보육간벌 지침도 충분히 확립되어 있지 못하다. 본 연구는 잣나무림의 장기적 보육간벌 시험을 통하여 장차 최적(最適)한 간벌계획(間伐計劃) 및 방법(方法)의 확립 에 기여하고자, 우선 강원대학교(江原大學校) 연습림(演習林)에 설정된 잣나무의 간벌시험지와 기존의 임분수확표를 대상으로 생장함수를 이용하여 잣나무의 생장과정의 변화 등을 분석 고찰하였다. 간벌과정을 파악하기 위한 기초적인 단계로 생장과정을 표현하기 적합한 이론적 생장함수를 선정할 필요가 있다. 이를 위해 Mitscherlich, 4 parameter Richards, 3 parameter Richards의 3종의 생장함수식(生長函數式)을 간벌시험지에서 채취한 임령 18년 전후의 공시목의 직경생장 과정에 적용하였다. 그 결과 3변수 Richards 생장함수식이 가장 적합한 것으로 나타났다. 또한 산림청에서 작성한 잣나무 수확표의 직경과 수고생장, 입목본수의 감소 과정도 3변수 Richards 생장함수식에 의하여 적합하게 추정할 수 있음을 확인하였다. 장래 단목의 간벌에 따른 생장의 변화과정을 추정하기 위해, 단목의 점유 면적에 관계하는 계수 h를 포함하는 생장(生長)모델을 제안하였다. 현재 설치된 간벌시험지에서 향후 일정간격으로 얻어질 간벌시험지의 직경생장 공시자료를 이용하면 계수 h를 추정할 수 있고, 이를 이용하여 제안된 모델의 유용성을 검증, 보완한다면 단목의 생장과정을 사전에 유추하여 간벌의 효과를 표현할 수 있는 수식을 구축할 수 있을 것으로 사료된다.

• Journal of Advanced Marine Engineering and Technology
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• 제23권4호
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• pp.488-503
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• 1999

The present paper considers the constraint effect on J-R curves under the two-parameter $J-A_2$ controlled crack growth within a certain amount of crack extension. Since the parameter $A_2$ in $J-A_2$ three-term solution is independent of applied loading under fully plasticity or large-scale defor-mation $A_2$ is a proper constraint parameter uring crack extension. Both J and $A_2$ are used to char-acterize the resistance curves of ductile crack growth using J as the loading level and $A_2$ are used to char-acterize the resistance curves of ductile crack growth using J as the loading level and A2 as a con-straint parameter. Approach of the constraint-corrected J-R curve is proposed and a procedure of transferring the J-R curves determined from standard ASTM procedure to non-standard speci-mens or real cracked structures is outlined. The test data(e.g. initiation toughness JIC and tearing modulus $T_R$) of Joyce and Link(Engineer-ing Fracture Mechanics 1997, 57(4) : 431-446) for single-edge notched bend[SENB] specimen with from shallow to deep cracks is employed to demonstrate the efficiency of the present approach. The variation of $J_{IC}$ and $T_R$ with the constraint parameter $A_2$ is obtained and a con-straint-corrected J-R curves is constructed for the test material of HY80 steel. Comparisons show that the predicted J-R curves can very well match with the experimental data for both deep and shallow cracked specimens over a reasonably large amount of crack extension. Finally the present constraint-corrected J-R curve is used to predict the crack growth resistance curves for different fracture specimens. over a reasonably large amount of crack extension. Finally the present constraint-corrected J-R curve is used to predict the crack growth resistance curves for different fracture specimens. The constraint effects of specimen types and specimen sizes on the J-R curves can be easily obtained from the constrain-corrected J-R curves.

• 대한기계학회논문집A
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• 제35권4호
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• pp.375-381
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• 2011

본 연구의 주목적은 마그네슘합금의 피로균열성장거동을 지배하는 파라미터들의 확률론적 특성을 규명하는 것이다. 피로균열전파실험은 AZ31 마그네슘합금의 CT 시편을 이용하여 통계적으로 수행하였으며, 시편두께, 하중비, 최대하중 등의 여러 가지 실험조건으로 실온에서 진행하였다. 이 실험을 통하여 획득한 통계적 피로 데이터를 이용하여 피로거동 파라미터의 확률적 변동성 해석과 함께 확률분포 적합성을 고찰하였다. 균열성장속도계수는 확률적으로 매우 큰 변동성을 나타내는 파라미터로 밝혀졌으며, 반면에 균열성장속도지수는 매우 작은 변동성을 나타냄으로써 재료상수로 볼 수 있을 것이다. 피로거동 파라미터인 균열성장속도계수와 균열성장속도지수에 가장 적합한 확률분포는 3-파라미터 Weibull 분포이며, 2-파라미터 Weibull 분포는 균열성장속도계수의 경우에만 양호한 적합성을 나타낸다는 것을 규명하였다.

• 한국해양공학회:학술대회논문집
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• 한국해양공학회 2002년도 춘계학술대회 논문집
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• pp.104-109
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• 2002

In this paper, a statistical analysis of fatigue crack growth behavior under constant amplitude loads has been carried out. Fatigue crack growth tests were conducted on sixteen pre-cracked compact tension (CT) specimens of the pressure vessel (SPV50) steel in controlled identical load and environmental conditions. The assessment of the statistical distribution of fatigue crack growth experimental data obtained from SPV50 steel was studied and also the correlation of the parameter C and m in the Paris-Erdogan law was discussed. The probability distribution function of fatigue crack growth life seems to follow the 3-parameter Weibull. The fatigue crack growth rate seems to follow the 3-parameter Weibull and the log-normal distribution. The coefficient of variation (COV) of fatigue crack growth life was observed to decrease as the crack grows. A strong negative linear correlation exists between the coefficient C and the exponent m in Paris model. Fatigue crack growth rate data shows a normal distribution for both m and logC.

• 대한기계학회논문집A
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• 제27권6호
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• pp.923-929
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• 2003

In this paper, an analysis of fatigue crack growth behavior from a statistical point of view has been carried out. Fatigue crack growth tests were conducted on sixteen pre-cracked compact tension (CT) specimens of the pressure vessel (SPV50) steel in controlled identical load and environmental conditions. The assessment of the statistical distribution of fatigue crack growth experimental data obtained from SPV50 steel was studied and also the correlation of the parameter C and m in the Paris-Erdogan law was discussed. The probability distribution function of fatigue crack growth life seems to follow the 3-parameter Weibull. The fatigue crack growth rate seems to follow the 3-parameter Weibull and the log-normal distribution. The coefficient of variation (COV) of fatigue crack growth life was observed to decrease as the crack grows. Fatigue crack growth rate data shows a normal distribution for both m and logC. A strong negative linear correlation exists between the coefficient C and the exponent m.

• 한국해양공학회지
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• 제17권2호
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• pp.54-59
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• 2003

The characteristics of the parameters for the probability distribution of fatigue crack growth life, using the non-Gaussian random process simulation method is investigated. In this paper, the material resistance to fatigue crack growth is treated as a spatial random process, which varies randomly on the crack surface. Using the previous experimental data, the crack length equals the number of cycle curves that are simulated. The results are obtained for constant stress intensity factor range conditions with stress ratios of R=0.2, three specimen thickness of 6, 12 and 18mm, and the four stress intensity level. The probability distribution function of fatigue crack growth life seems to follow the 3-parameter Wiubull,, showing a slight dependence on specimen thickness and stress intensity level. The shape parameter, $\alpha$, does not show the dependency of thickness and stress intensity level, but the scale parameter, $\beta$, and location parameter, ${\gamma}$, are decreased by increasing the specimen thickness and stress intensity level. The slope for the stress intensity level is larger than the specimen thickness.

• 한국해양공학회:학술대회논문집
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• 한국해양공학회 2002년도 추계학술대회 논문집
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• pp.301-306
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• 2002

The characteristics of parameters for the probability distribution of fatigue crack growth lives by the non-Gaussian random process simulation method is investigated. In this paper, the material resistance to fatigue crack growth is treated as a spatial random process, which varies randomly on the crack surface. Using the previous experimental data, the crack length - the number of cycles curves are simulated. The results are obtained for constant stress intensity factor range conditions with stress ratio of R=0.2, three specimen thickness of 6, 12 and 18mm, and the four stress intensity level. The probability distribution function of fatigue crack growth lives seems to follow the 3-parameter Wiubull and shows a slight dependence on specimen thickness and stress intensity level. The shape parameter, ${\alpha}$, does not show the dependency of thickness and stress intensity level, but the scale parameter, ${\beta}$, and location parameter, ${\upsilon}$, are decreased by increasing the specimen thickness and stress intensity level. The slope for the stress intensity level is larger than the specimen thickness.

• 대한기계학회논문집
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• 제13권1호
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• pp.77-86
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• 1989

본 연구에서는 $C^{*}$ 적분을 수정하여 균열 진전의 효과를 배제하는 새로운 크립 파괴의 하중 매개변수 $C_{m}$ 을 제안하고 그 타당성을 검토한다. 또한 $C_{m}$ 의 전개 과정에서 유도되는 다른 하중 매개변수들의 특성과 그 이용가능성을 조사한다. 균열 진전 속도가 $C^{*}$ 의 지배를 받는 것으로 알려져 있는 스테인레스 강(stainless steel) STS 304(KS 규격)를 사용한 크립파괴 실험을 600.deg. C에서 수행하여 $C_{m}$ 의 크립 파괴에 대한 적용 가능성을 조사하도록 한다.